Differentiate 3x² over x³ +3

Answers

Answer 1

Answer:

[tex] \displaystyle{y' = \dfrac{ - 3x( {x}^{3} + 6) }{( {x}^{3} + 3)^{2} }}[/tex]

Step-by-step explanation:

We can use the quotient rule:

[tex] \displaystyle{y = \frac{u}{v} \to y '= \dfrac{u'v - uv'}{ {v}^{2} }}[/tex]

In this case, u and v both are functions. By applying formula above, we will have:

[tex] \displaystyle{y' = \dfrac{(3 {x}^{2})' ( {x}^{3} + 3) - (3 {x}^{2} )( {x}^{3} + 3)' }{( {x}^{3} + 3)^{2} }}[/tex]

Then apply power rule to derive functions, we have to know that:

[tex] \displaystyle{y = {x}^{n} \to y' = n {x}^{n - 1} } \\ \\ \displaystyle{y = c \to y' = 0 \: \: \: (c \in \mathbb{R})}[/tex]

Therefore, we will have:

[tex] \displaystyle{y' = \dfrac{6x ( {x}^{3} + 3) - (3 {x}^{2} )3 {x}^{2} }{( {x}^{3} + 3)^{2} }}[/tex]

Expand the terms in:

[tex] \displaystyle{y' = \dfrac{6 {x}^{4} + 18x - 9 {x}^{4} }{( {x}^{3} + 3)^{2} }} \\ \\ \displaystyle{y' = \dfrac{ - 3 {x}^{4} + 18x }{( {x}^{3} + 3)^{2} }} \\ \\ \displaystyle{y' = \dfrac{ - 3x( {x}^{3} + 6) }{( {x}^{3} + 3)^{2} }}[/tex]

Hence, that's the answer. You can keep in unfactored form or factored form as you desire!


Related Questions

a farmer plans to fence a rectangular pasture adjacent to a river (see figure). the pasture must contain 405,000 square meters in order to provide enough grass for the herd. no fencing is needed along the river. what dimensions will require the least amount of fencing?

Answers

If the farmer plans to fence a rectangular pasture adjacent to a river than the dimensions that is required for the least amount of fencing is  length = 900 m and width = 450 m  .

In the question ,

it is given that ,

the farmer is planning to fence the rectangular pasture adjacent to the river ,

the area of the pasture is = 405000 square meter .

let the length of the pasture = "y"

let the width of the pasture be = "x" ,

since only three side is fenced , the required perimeter is = 2x + y ;

given that area ⇒ x*y = 405000

y = 405000/x  ;

So , the perimeter equation becomes ;

p = 2x + 405000/x

differentiating and equation to 0 we get ;

p' = 2 - 405000/x²

2 - 405000/x² = 0 ;

2x² = 405000

x² = 202500 ;

x = 450 , putting in perimeter equation ,

we get ; y = 900 .

Therefore , the dimension is length = 900 m and width = 450 m.

Learn more about Area here

https://brainly.com/question/29317693

#SPJ4

Find the two solutions to the following equation:
x(x + 10) = 0

Answers

If x = 0, then the equation becomes 0(0 + 10) = 0, which is true. Thus, x = 0 is a solution to the equation.

If (x + 10) = 0, then we can rearrange the equation to solve for x: x = -10. Thus, x = -10 is also a solution to the equation.

Therefore, the two solutions to the equation x(x + 10) = 0 are x = 0 and x = -10.

Answer:

The correct answer is (0) and (-10)

Step-by-step explanation:

The standard form of this equation is (x-a)(x-b)=0

so, here given equation is : x(x+10)=0

For solving the equation, equate both the LHS parts equals to RHS i.e. :

x(x+10)=0

x=0 &                          (x+10)=0 or x=(-10)

                                     

(x - 5)(2x + 5y)(3x - 8)

Answers

Answer:

=6x3+15x2y−46x2−115xy+80x+200y

Step-by-step explanation:

What i the lope of a line perpendicular to the line whoe equation i 3x-6y=90. Fully implify your anwer

Answers

The slope of line perpendicular to line 3x - 6y = 90 is -2.

Slope-Intercept form of equation => y = mx + c

Slope = m

Given equation,

3x - 6y = 90

 x - 2y = 30

      2y = x - 30

        y = x/2 - 15

        y = (1/2)x + (-15)

Here, slope = m1

                   = 1/2

For line perpendicular slope will be negative reciprocal of the slope of given line.

Therefore, slope of other line = m2

                                                 = -1/m1

                                                 = -2

Hence, slope of line perpendicular to line 3x - 6y = 90 is -2.

To learn more about slope here:

https://brainly.com/question/3605446

#SPJ4

Please help me!!!!!!!!!

Answers

The system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

b) Solving that we will get L = cm and W = 6cm

c) The figure becomes a square of sides of 7.2cm

How to write the system of equations?

First, let's define the variables:

W = width of the rectangle.L = length of the rectangle.

Remember that the perimeter of a rectangle is:

P = 2*(W + L)

We know that the perimeter is 28cm, then:

28cm = 2*(W + L)

And if we decrease the length by 10% and increase the width by 20% the perimeter is 28.8cm, then

28.8cm = 2*(0.9*L + 1.2*W)

Then the system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

We can isolate L on the first equation to get:

28cm/2 - W = L

14cm - W = L

Replacing that in the other equation we get:

28.8cm = 2*(0.9*(14cm - W) + 1.2*W)

28.8cm = 1.8*(14cm - W) + 2.4*W

28.8cm = 25.2cm + 0.6*W

28.8cm - 25.2cm =  0.6*W

3.6cm/0.6 = W = 6 cm

So the width is 6cm, then the length is:

L  = 14cm - 6cm = 8cm

c) The modified dimensions are:

0.9*L = 0.9*8cm = 7.2 cm

The new width is:

1.2*W = 1.2*6cm = 7.2 cm

So the length is equal to the width, then the figure becomes a square.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The variables for this experiment include temperature, surface area, and the time required for the reaction to be completed. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. The independent variables, the ones that are intentionally manipulated, are. The dependent variable, the one that you measure the response in, is.

Answers

The independent variables, the ones that are intentionally manipulated, are temperature and surface time.

The dependent variable, the one that you measure the response in, is the reaction time.

The physical concept of temperature indicates in the numerical form how hot or cold something is. Temperature is measured with a thermometer.

Thermometers are calibrated in numerous temperature scales that historically have depended on various reference factors and thermometric materials for definition. The most common scales are the Celsius scale with the unit image °C (previously referred to as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (okay), the latter being used predominantly for clinical functions. The kelvin is one of the seven base units within the worldwide machine of gadgets (SI).

Absolute zero, i.e. 0 kelvin or −273.15 °C, is the bottom factor within the thermodynamic temperature scale. Experimentally, it can be approached simplest very intently, however, no longer genuinely reached, as diagnosed in the 0.33 law of thermodynamics. it'd be not possible to extract power as the warmth from a body at that temperature.

To learn more about Temperature visit here:

brainly.com/question/17421301

#SPJ4

Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. simillarity

Answers

Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.

Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.

Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.

Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.

Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.

Learn more about Gestalt principle at : https://brainly.com/question/3354752

#SPJ4

What is the missing number for each fraction? 12 25 40

Answers

The Missing number for each fraction is ---

a) 3/7 = 12/28

b)5/8 = 25/40

c)3/4 =12/16

d)7/3 = 14/6

Fraction:

A fraction (from Latin: fracturs, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples {1}/{2}} and ) consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Given that

a) [tex]\frac{3}{7}[/tex] = 12/_

  let x

3/7 = 12/x

3x = 84

x = 28

3/7 = 12/28

b) x/8 = 25/40

40x = 200

x = 5

5/8 = 25/40

c)3/4 = x/16

4x =48

x =12

3/4 =12/16

d)7/x = 14/6

42 = 14x

x = 3

7/3 = 14/6

To learn more about fraction:

https://brainly.com/question/10354322

#SPJ4

2. based on data from ac nielsen, among households in the united states, the mean number of tv sets is 2.24, with a standard deviation of 1.38. a random sample of 40 households is selected. a. describe the sampling distribution of the sample mean number of tv sets in a sample of 40 households. state the shape of the distribution and check any necessary conditions for that. state the mean and compute the standard deviation (round to 4 decimal places). (6 pts.) b. in a random sample of 40 households, what is the probability that the sample mean is 2.55 or higher? include a sketch. show all work. (8 pts.)

Answers

Therefore the mean number of sample of 40 households results in 102 television sets is 2.55 & the probability of that the sample mean is 2.55 or higher is 0.412

What is probability?

The likelihood of an event happening is determined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us. In these situations, we state that there is a likelihood that the event will occur or not.

Here,

Given:

mean number of tv sets (n)= 2.24

standard deviation ([tex]{S_d} }[/tex]) = 1.38

sample of 40 households results in 102 television sets so ,

mean number (n') = 102/40 =2.55

its mean number =2.55

the probability that the sample mean is 2.55 or higher

=> Z = [tex]\frac{n^{'}-n }{S_d} }[/tex]

=> Z =(2.55-2.24)/1.38

=>Z = 0.2246

the normal distribution of probability =

P=[tex]\frac{1 *e^{\frac{-1}{2}Z^{2} } }{\alpha \sqrt{2\pi } }[/tex]

P=0.588

therefore P(x<2.55)=0.588

=>P(2.55< x)= 1-0.588=0.412

Therefore the probability of that the sample mean is 2.55 or higher is 0.412

To know more about probability , visit

https://brainly.com/question/11234923

#SPJ4

why was the pail pale

Answers

The pail was pale because it was most likely made from a light-coloured material such as plastic or metal.

It is not clear why the pail was pale. The phrase "the pail was pale" does not make sense in the context of the properties of a pail. Pails are typically made of metal, plastic, or some other type of material and do not have a color or shade.

It is possible that you meant to ask a different question or that the phrase "the pail was pale" was intended as a joke or a play on words. Without more context, it is not possible to provide a meaningful answer.

To learn more about pail, visit:

brainly.com/question/15620915

#SPJ4

Mitch sells thingamabobs. His revenue is modeled by the function
R(h) = 5h+8 for every h hours he spends working. His overhead cost is
modeled by the function C'′(h) = h² + 7h − 16. After how many hours does
he break even?

Answers

The number of hours to breakeven will be 5 hiurs

How to calculate the breakeven?

The breakeven is the point at which the cost and the revenue are equal.

Since Mitch sells thingamabobs. His revenue is modeled by the function R(h) = 5h+ + 8 for every h hours he spends working and his overhead cost is modeled by the function C'′(h) = h² + 7h − 16.

This wll be:

Revenue = Cost

5h + 8 = h² + 7h - 16

Collect like terms

h² + 7h - 5h - 16 = 0

h² - 2h - 16 = 0

Solving the equation will give h as 5.

The number of hours will be 5 hours.

Learn more about breakeven on:

brainly.com/question/15281855

#SPJ1

There are 5 Thursdays and 4 Saturdays in the month of February in a year. Find the date of the first Monday of the month of march of that year?

Answers

Answer:

March 4

Step-by-step explanation:

The fifth Thursday must happen 4 weeks after the first one. That means that the 5th Thursday is 28 days after the first one.

Feb 1 + 28 days = Feb 29

Feb 1, Thursday

Feb 8, Thursday

Feb 15, Thursday

Feb 22, Thursday

Feb 29, Thursday

Mar 1, Friday

Mar 2, Saturday

Mar 3, Sunday

Mar 4, Monday

Answer: March 4

whats the probabilty tha leahs first flight was delayed

Answers

The probability that her first flight was delayed exists 0.975.

What is meant by probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

Let event that First flight on time be denoted as OT and event that a flight exists delayed be D;

P(OT) = 0.15 and P(D) = 1 - P(OT) = 1 - 0.15 = 0.85

Let event that Luggage will make connecting flight be L and that it won't make it be L',

Given that there is a 0.95 chance that luggage will arrive on time, this is a conditional probability and can be expressed as follows:

P(L/OT) = 0.95 and also P(L/D) = 0.65

From this P(L'/OT) = 1 - P(L/OT) = 1 - 0.95 = 0.05

and P(L'/D) = 1 - P(L/D) = 1 - 0.65 = 0.35

The question is asking for the probability that the first flight was delayed (D) provided that her Luggage was not there (L').

Let the equation of conditional probability be;

P(D/L') = P( D and L')/ P(L')

P(D and L') = P(D) × P(L'/D) = 0.85 × 0.35 = 0.2975

P(L') = P(OT) × P(L'/OT) + P(D) × P(L'/D)

     = 0.15(0.05) + 0.85(0.35)

     = 0.305

P(L/OT) = 0.297/0.305

             = 0.975

Therefore, the probability that her first flight was delayed is 0.975.

The complete question is:

Leah is flying from Boston to Denver with a connection in Chicago. The probability her first flight is on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Chicago is 0.95, but if the first flight is delayed, the probability that the luggage will make it is only 0.65.

Question: Suppose you pick up Leah in Denver and her luggage is not there.

What is the probability that her first flight was delayed?

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

Daniela is trying to solve an equation for x. Original equation: 1/2 x + 3 = 7/2 x + 5 The result of Daniela’s first step was: 3 = 7/2 x - 1/2 x + 5 Describe the first step Daniela made for the equation.

Answers

The first step performed by Daniela was that she subtracted 1 / 2 x from both sides of the equation.

How to solve an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, Daniela is trying to solve an equation for x.

1/2 x + 3 = 7/2 x + 5

The variable of the equation is x. The variable of an equation is a number represented with letters.

Hence, the first step performed by Daniela is as follows:

Subtract 1 / 2 x from both sides of the equation

1/2 x + 3 = 7/2 x + 5

1/2 x - 1 / 2 x + 3 = 7/2 x - 1 / 2 x + 5

3 =  7/2 x - 1 / 2 x + 5

learn more on equation here:https://brainly.com/question/22625751

#SPJ1

find S.I if p=1500,r=5percent ,t=2y6m​

Answers

Answer: 487.5

Step-by-step explanation:

Formula for Simple interest is

S.I = (P×R×T)/ 100

so, we are given with

P = 1500 ; R = 5% ;

T = 2 years 6 months    

*here we need to convert 6 months in to years

so,

6 months = 1/2 year

T = 6 year + 1/2 year = 13/2 years

Now putting these values in formula

We get;

S.I = (1500×5× 13/2) / 100

Ans : 487.5

18 In 2013, approximately 1.6 million students took the critical Reading portion of the SAT exam. The mean score, the modal score, and the standard deviation were calculated to be 115, respectively. 496,430, a Which interval reflects 95% of the Critical Reading scores? (1) 430 t 115 496 115 (2) 430 t 230 (4) 496 t 230

Answers

The interval reflects 95% of the critical reading scores is 430 t 230.

What is intervals?

Interval is the period of time between two points.

As per the given scenario

1.6 million students took the critical Reading portion of the SAT exam. The mean score, the modal score, and the standard deviation were calculated to be 115, respectively. 496,430,

95% confidence intervals

(Mu - 6.7-Mu+6.7)

(430-115×2 , 430+115×2)

By adding or substracting

( 430-230, 430+230)

So interval (430±230)

Thus,

The interval= 430±230.

To know more about interval click-

https://brainly.com/question/1503051

#SPJ1

there are two investments options: option 1: an initial investment of $5 that increases by 50% every year. option 2: an intial investment of $0.01 that doubles every year part a write an equation for each option to model the value a of the account x years prt b explain which investment will eventually have the greater value.

Answers

f(t) =  [tex]0.01 ( 2 )^{t}[/tex] is  which investment will eventually have the greater value.

What investment means?

An asset or object purchased with the intention of generating income or appreciation is referred to as an investment. An asset's value increasing over time is referred to as appreciation.

                               When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

F(t) = [tex]a(b)^{t}[/tex]

option a -                      a = 5

                                b = 1.5

                        f(t) = 5(1.5)

option b -                    a  = 0.01

                                  b = 2

               f(t) =  [tex]0.01 ( 2 )^{t}[/tex]

Learn more about investment

brainly.com/question/15353704

#SPJ4

Can you help me with thisss

Answers

Answer:

B. 2x - 5000

Step-by-step explanation:

She makes x now.

2 times x is 2x.

2 times minus 5000 is 2x - 5000.

Answer: B

Answer:

B. 2x-5000

Step-by-step explanation:

2x, the 2 means you're going to times that sum by 2. Then you have to subtract 5000 from that which we don't know how much she will have so the equation would be: 2x-5000

solving systems by Substitution
x-4y=15=3x-12y=12

Answers

Answer:

There is no solution

Step-by-step explanation:

x - 4y = 15

3x -12y = 12

Times the first equation by -3

-3x +12y = -45

3x - 12y = 12

0 = -33

So, there is no solution.

What is -2/3 to the 5th power?

Answers

-2/3 to the 5th power is equal to -0.008. To do this, we first need to raise -2/3 to the 1st power.

-2/3 to the 5th power can be calculated by raising -2/3 to the 5th power. To do this, we first need to raise -2/3 to the 1st power. This is equal to -2/3. We then need to multiply this result by itself four more times (since it is to the 5th power).

-2/3 * -2/3 = 4/9

4/9 * -2/3 = -8/27

-8/27 * -2/3 = 16/81

16/81 * -2/3 = -32/243

-32/243 * -2/3 = 64/729

Therefore, -2/3 to the 5th power is equal to 64/729. To simplify this, we can divide the numerator and denominator by 64. This gives us 1/11.5 which is equal to -0.008.

Learn more about power here

https://brainly.com/question/29053248

#SPJ4

a container weighs 5kg when empty but weighs 13kg and 25kg when it is completely full of water what is the weight of the water it is one-quarter inside the container when it is one-quarter filled with water

Answers

Answer:

10 kg is indeed the answer as given by Dr. Mani. Let us see how that comes. 30 kg minus 26 kg = 1/5 of water. So, weight of water = 5 times 4 = 20 kg.

Step-by-step explanation:

Answer:

if it filled 25 kg it the one qurter will be 9

Step-by-step explanation:

because to know the weight when it is filled =(25-5)=20kg .

now,

the first quarter =20÷4+4=9kg

in a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8 if we want to test at the 5% level of significance that the population variances differ, what is the value of the test statistic?

Answers

The value of the test statistic is  0.711, for the    test at the 5% level of significance that the population variances differ in a random sample  of 20 patients.

Since the information given to us is from a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8, and tested at the 5% level of significance that the population variances differ. The test statistic for this problem is calculated using the F-test. The formula for the F-test is:

F-test = (variance of sample 1) / (variance of sample 2).  Therefore, the test statistic for this problem is F-test = 128.0 / 178.8 = 0.711.  

To determine the p-value, we need to look up the F-distribution with (df1 = 20-1 = 19, df2 = 15-1 = 14) at a significance level of 5

%. The p-value is 0.347.  Therefore, at a 5% level of significance, the test statistic is 0.711 and the p-value is 0.347. We cannot reject the null hypothesis that the population variances are equal.

To know more about test statistic refer to the link brainly.com/question/14128303

#SPJ4

suppose the confidence interval was (5.68, 7.92). what is the correct interpretation of this interval?

Answers

We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68, 7.92.

The population parameter's (1 - α)% confidence interval denotes a probability of (1 -α ) that the interval contains the parameter's true value.

Or, the parameter's (1 -α )% confidence interval means that there is (1 - α)% certainty or confidence that the interval contains the genuine parameter value.

Assume that the weight's 95% confidence interval is (p1, p2).

The mean weight's 95% confidence interval

The likelihood that the true means fall within this range is 0.95.

95 of these intervals will contain the actual mean weight if 100 of these intervals are generated using 100 identical-sized samples.

For more information on confidence interval kindly visit to

https://brainly.com/question/15683202

#SPJ4

Complete question :

Suppose the confidence interval was (5.68,7.92). What is the correct interpretation of this interval? The true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92 We are 95% confident that the true slope for the relationship between weight and number of gogles for our sample of piknits lies between 5.68 and 7.92. There is a 95% chance that the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92. We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68 and 7.92.

does the data provide sufficient evidence to conclude that the number of errors in auditing technique a is greater than the number of errors in auditing technique b at the 0.1 level of significance? select the [rejection region, decision of reject (rh0) or failure to reject (frh0)]. (hint: the samples are dependent)

Answers

Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

What is standard deviation ?

The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The standard deviation, which is proportional to the square root of variance, is calculated by comparing the variance of each data point to its mean.

Here,

The null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

Alternate hypothesis , [tex]H_{A}[/tex]= [tex]u_{d}[/tex] ≥ 0

thus,

[tex]d^{'}[/tex]=(14 + 11 + 7 + 11 -2 + 5 + 0 +5)/9

[tex]d^{'}[/tex]=4.44

[tex]S_{d}[/tex]=6.747

t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex]

Putting values in above equation

[tex]d_{f}[/tex]=9-1=8

α=0.10 => t(0.1,8)

t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex] = 1.397

Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

To know more about standard deviation , visit

https://brainly.com/question/23907081

#SPJ4

38 is 40% of what number?

Answers

Answer:

95

Step-by-step explanation:

x = 38 over 0.4 = 95

38 over x 100=40%

A function of x is shown on the coordinate plane. Over which intervals is the function increasing ??

Quickest gets brainlest

Answers

Answer:

B

Step-by-step explanation:

The function is increasing anywhere the slope is positive.  This corresponds to the intervals -4<x<-2 and 0<x<2.  So, answer B is correct.

the owner of a bike shop sells unicycels and bicycles and keeps inventory by counting seats ans wheels.one day, she conts 15 seats and 22 wheels. The equation repersenting the total number of seats is u+b=15 where u is the number of unicycels and b is the number of bicycles

Answers

The equation representing the total number of wheels is given as follows:

u + 2b = 22.

How to model the total number of wheels?

This problem is modeled by a system of equations, for which the variables are given as follows:

Variable u: Number of unicycles.Variable b: Number of bicycles.

There is a total of 15 seats, hence, considering that each of the objects have one seat, we have that:

u + b = 15.

There is a total of 22 wheels, and we have that:

An unicycle has one wheel.A bicycle has two wheels.

Then the equation representing the total number of wheels is given as follows:

u + 2b = 22.

Missing Information

The problem asks for the equation representing the total number of wheels in this problem.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

A box of 15 cookies costs $9 dollar sign, 9.
What is the cost for 1 cookie?

Answers

Answer: 0.6

Step-by-step explanation:

9/15 = 0.6

$9 / 15 cookies = $0.6 cents per cookie

Help me solve it please
((3*3)²)²

Answers

Answer:

6,561

Step-by-step explanation:

((3*3)²)²

((9)²)²

(81)²

6,561

Answer:

Step-by-step explanation

answer:6561

3 times 3 = 9

9^2=81

81^2=6561

pls, can someone explain me the solution step by step :)​

Answers

Answer:

4

Step-by-step explanation:

Given expression:

[tex]\left(2-\log_{\sqrt{2}}10\right)\left(2-\log_{\sqrt{5}}10\right)[/tex]

[tex]\textsf{Apply the radical rule}: \quad \sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]\implies \left(2-\log_{2^{\frac{1}{2}}}10\right)\left(2-\log_{5^{\frac{1}{2}}}10\right)[/tex]

[tex]\textsf{Apply the log rule}: \quad \log _{a^n}(x)=\frac{1}{n}\log _a\left(x\right),\:\quad \:a > 0[/tex]

[tex]\implies \left(2-\dfrac{1}{\frac{1}{2}}\log_{2}10\right)\left(2-\dfrac{1}{\frac{1}{2}}\log_{5}10\right)[/tex]

[tex]\implies \left(2-2 \log_{2}10\right)\left(2-2\log_{5}10\right)[/tex]

Rewrite 10 as 2 · 5 and 10 as 5 · 2:

[tex]\implies \left(2-2 \log_{2}(2 \cdot 5)\right)\left(2-2\log_{5}(5 \cdot 2)\right)[/tex]

[tex]\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay[/tex]

[tex]\implies \left(2-(2 \log_{2}2+2\log_2 5)\right)\left(2-(2\log_{5}5 +2\log_52)\right)[/tex]

[tex]\implies \left(2-2 \log_{2}2-2\log_2 5\right)\left(2-2\log_{5}5 -2\log_52\right)[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies \left(2-2(1)-2\log_2 5\right)\left(2-2(1) -2\log_52\right)[/tex]

[tex]\implies \left(2-2-2\log_2 5\right)\left(2-2 -2\log_52\right)[/tex]

[tex]\implies \left(-2\log_2 5\right)\left(-2\log_52\right)[/tex]

Multiply:

[tex]\implies 4 \cdot \log_2 5 \cdot \log_52[/tex]

[tex]\textsf{Apply the log rule}: \quad \log _{a}(x) \cdot \log_{x}(a)=1[/tex]

[tex]\implies 4 \cdot 1[/tex]

[tex]\implies 4[/tex]

Other Questions
A water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. how much water can the tank hold? The HA theom is a special case of the ____ what device in a laser printer provides voltages to the corona wires? group of answer choices acps dcps hvps corona assembly derive an equation for the tension string connected to the two blocks in terms of ; any physical constants sometines when we work with a group a discussion of the issue only makes the group more committed to the intial viewpoint it's almost like the discussion did not occur at all stock price for vinyl record player? Bridgeport Corp. is authorized to issue both preferred and common stock. The par value of the preferred is $50. During the first year of operations, the company had the following events and transactions pertaining to its preferred stock. Feb. 1 Issued 45,000 shares for cash at $51 per share. July 1 Issued 65,000 shares for cash at $57 per share. Your answer is partially correct. Journalize the transactions. true or false: preference decisions are made to prioritize and select from capital budgeting alternatives. In 2019 which beach was designated americas #1 beach according to tripadvisors travelers choice awards? Study the table about Earths interior.A 4 column table with 5 rows. First column is unlabeled with entries: Crust, uppercase mantle, Lower mantle, Outer core, Inner core. Second column is labeled Thickness in kilometers with entries: 30, 720, 2,171, 2,259, 1,221. Third column is labeled Density in grams per centimeters cubed, divided into Top and Bottom columns. Top entries are: 2.2, 3.4, 4.4, 9.9, 12.8. Bottom entries are: 2.9, 4.4, 5.6, 12.2, 13.1. Fourth column is labeled Types of Rock Found with entries: Silicic rocks, Peridotite, Magnesium and silicon oxides, Iron plus oxygen, Iron plus oxygen.If silicic rock is found in a core sample, what evidence does this provide about the rocks location?Its location is likely underneath an ocean or a mountain.Its location is likely denser than Earths lithosphere.Its location likely has a consistency that changes from solid to liquid.Its location likely contributes to the creation of Earths magnetic field.Mark this and return rather than just draw a paycheck. which of daniel pink's motivational elements is uppermost in emil's mind when choosing a career? Dario, a prep cook at an Italian restaurant, spins a salad spinner 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates 6.00 more times before it comes to rest. Assume that the spinner slows down with constant angular acceleration. What is the angular acceleration of the salad spinner as it slows down? Express your answer numerically in radians per second per second. = / t = 20 * 2 * / 5.00 = 8 = 25.13272 radians/s now I can solve for using a kinematic equation: 2f = 20 + 2() 02 = 25.132722 + 2 * * (2 * * 6.00) 0 = 631.6536 + 75.39816 75.39816 = -631.6536 = -8.37757 radians/s2 place the following substances in order of increasing boiling point. ch3ch2ch3 ch3och3 ch3ch2oh ch3ch2ch3 < ch 3och 3 < ch 3ch 2oh ch 3ch 2oh < ch3ch2ch3 < ch 3och 3 ch 3ch 2oh < ch 3och 3 < ch3ch2ch3 ch 3och 3 < ch3ch2ch3 < ch 3ch 2oh ch3ch2ch3 < ch 3ch 2oh < ch 3och 3 significance of chromosomal structure aberration?? What is the Coriolis effect? How does it influence ocean currents? what is the slope of the line classify the substances as atomic elements, molecular elements, molecular compounds, or ionic compounds. _______ allows only limited use of media that has been legally purchased.A) Digital rights managementB) CopyrightC) CopyleftD) Synchronizing describe some of the traits that make leaders successful. you are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. you sell 31 tickets and collect $170. write the system of equations that could be used to determine the number of student tickets, s, and the number of general admission tickets, g, were sold for the high school play. how many student tickets did you sell?