which ecpression is the simplest form of 3(3x-4)-5(x+3)

Answers

Answer 1

[tex]\boxed{ \sf{Answer}} [/tex]

[tex] \sf \: 3(3x - 4) - 5(x + 3) \\ \sf =( 3 \times 3x) - (3 \times 4) + ( - 5 \times x) +( - 5 \times 3 ) \\ \sf = 9x - 12 - 5x - 15 \\ \sf = 9x - 5x - 12 - 15 \\ = \underline{ \bf 4x - 27}[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer 2

[tex]\\ \sf\longmapsto 3(3x-4)-5(x+3)[/tex]

[tex]\\ \sf\longmapsto 9x-12-5x-15[/tex]

[tex]\\ \sf\longmapsto 9x-5x-15-12[/tex]

[tex]\\ \sf\longmapsto (9-5)x-27[/tex]

[tex]\\ \sf\longmapsto 4x-27[/tex]


Related Questions

Find the missing segment in the image below

Answers

Answer:

Step-by-step explanation:

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____. a. parabolic band of points b. band of points having a slope consistent with that of the regression equation c. horizontal band of points centered near 0 d. widening band of points

Answers

Answer:

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____.

c. horizontal band of points centered near 0

Step-by-step explanation:

This residual graph or plot shows the residual values (or the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line) on the vertical axis and displays the independent variable on the horizontal axis.  A linear regression model becomes appropriate for a dataset when the points are randomly dispersed around the horizontal axis near 0; otherwise, a nonlinear model becomes more appropriate.

What is the domain of the following function?

Answers

Answer:

the domain is all real numbers except  x=3

Step-by-step explanation:

The domain is the values that x can take

X can be all real number except when the denominators equal zero

x-3 ≠ 0

x≠3

the domain is all real numbers except 3

Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The formula for the area of a circle is A = ar?)​

Answers

Answer:

Using 3.14   for pi  A = 113.0  ft^2

Using the pi button A = 113.1 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi ( 6)^2

A = 36 pi

Using 3.14 for an approximation for pi

A = 36(3.14) = 113.04

To 1 decimal

113.0

Using the pi button

A = 113.0973355

A = 113.1

Ray’s weight increased by 11% in the last two years. If he gained 16.5 pounds, what was his weight two years ago?

Answers

Answer:

Ray weighed 150 pounds two years ago.

Step-by-step explanation:

11/100 = 16.5/x

11x = 16.5(100)

11x = 1,650

(11x)/11 = (1,650)/11

x = 150

About time that he should start going to the gym!

Which expression is equivalent to 5y^-3?​

Answers

Answer:

5/y^3

Step-by-step explanation:

which expression is equivalent to 5y^-3

for example a^-1 = 1/a

5y^-3 = 5/y^3

Are 3(3x - y) and 12 ( x - 4y ) equivalent expression?

Answers

Answer:

No, they are not.

Step-by-step explanation:

If you distributed 12(x - 4y), you would get 12x - 48y. If you distributed 3(3x-y), you would get 9x- 3y. 12x - 48y and 9x - 3y are not equivalent. Hope this helped!

Is this the correct answer?

Answers

Answer:

25.40

Step-by-step explanation:

tickets  ( 2 at 10.95 each) = 2* 10.95 = 21.90

popcorn ( 1 at 7.50)         = 7.50

Total cost before discount

21.90+7.50=29.40

subtract the discount

29.40-4.00 =25.40

Answer:

Yep! That's correct!

Step-by-step explanation:

We know that Marilyn and her sister are each getting a ticket that cost $10.95. They are also getting a $7.50 popcorn to share. Let's add those values up.

(10.95 * 2) + 7.50 {Multiply 10.95 by 2 to get 21.90.}

21.90 + 7.50 {Add 7.50 to 21.90 to get 29.40}

$29.40 (without the credit) in toal

A credit on a movie reward card functions as a discount, so what we need to do next is subtract 4 from 29.40. That will get us $25.40 as the total cost.

After doing the math, I can deduce that your answer is correct!

log13 X + log13 (12x-1)=1

Answers

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  ≈  0.13893498

a new automobile cause 11300 which is 100 more than 25 times a certain number what is the number​

Answers

Answer:

25x + 100 = 11300

25x = 11200

448 = x

Step-by-step explanation:

the certain number is 448

Change to cylindrical coordinates. 3∫−3 9-x^2∫0 9−x^2-y^2∫x^2+y^2 dz dy dx

Answers

I think the given integral reads

[tex]\displaystyle \int_{-3}^3 \int_0^{9-x^2} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

In cylindrical coordinates, we take

x ² + y ² = r ²

x = r cos(θ)

y = r sin(θ)

and leave z alone. The volume element becomes

dV = dx dy dz = r dr dθ dz

Then the integral in cylindrical coordinates is

[tex]\displaystyle \boxed{\int_0^\pi \int_0^{(\sqrt{35\cos^2(\theta)+1}-\sin(\theta))/(2\cos^2(\theta))} \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta}[/tex]

To arrive at this integral, first look at the "shadow" of the integration region in the x-y plane. It's the set

{(x, y) : -3 ≤ x ≤ 3 and 0 ≤ y ≤ 9 - x ²}

which is the area between a paraboloid and the x-axis in the upper half of the plane. So right away, you know θ will fall in the first two quadrants, so that 0 ≤ θ ≤ π.

Next, r describes the distance from the origin to the parabola y = 9 - x ². In cylindrical coordinates, this equation changes to

r sin(θ) = 9 - (r cos(θ))²

You can solve this explicitly for r as a function of θ :

r sin(θ) = 9 - r ² cos²(θ)

r ² cos²(θ) + r sin(θ) = 9

r ² + r sin(θ)/cos²(θ) = 9/cos²(θ)

(r + sin(θ)/(2 cos²(θ)))² = 9/cos²(θ) + sin²(θ)/(4 cos⁴(θ))

(r + sin(θ)/(2 cos²(θ)))² = (36 cos²(θ) + sin²(θ))/(4 cos⁴(θ))

(r + sin(θ)/(2 cos²(θ)))² = (35 cos²(θ) + 1)/(4 cos⁴(θ))

r + sin(θ)/(2 cos²(θ)) = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))]

r  = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))] - sin(θ)/(2 cos²(θ))

Then r ranges from 0 to this upper limit.

Lastly, the limits for z can be converted immediately since there's no underlying dependence on r or θ.

The expression above is a bit complicated, so I wonder if you are missing some square roots in the given integral... Perhaps you meant

[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

or

[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{\sqrt{9-x^2-y^2}} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

For either of these, the "shadow" in the x-y plane is a semicircle of radius 3, so the only difference is that the upper limit on r in either integral would be r = 3. The limits for z would essentially stay the same. So you'd have either

[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]

or

[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{\sqrt{9-r^2}} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]

Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.

Answers

Answer:

[tex]C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right[/tex]

Step-by-step explanation:

Given

See attachment for question

Required

The piece-wise function

From the attachment, we have:

(1) $4/hr for first 2 hours

This is represented as:

[tex]C(x) = 4x[/tex]

The domain is: [tex]0 \le x \le 2[/tex]

(2) $2/hr for next 4 hours

Here, we have:

[tex]Rate = 2[/tex]

The total cost in the first 2 hours is:

[tex]C(x) = 4x[/tex]

[tex]C(2) = 4*2 = 8[/tex]

So, this function is represented as:

[tex]C(x) = C(2) + Rate * (Time - 2)[/tex] ----- 2 represents the first 2 hours

So, we have:

[tex]C(x) = C(2) + Rate * (Time - 2)[/tex]

[tex]C(x) =8 + 2(x - 2)[/tex]

Open brackets

[tex]C(x) =8 + 2x - 4[/tex]

Collect like terms

[tex]C(x) =8 - 4+ 2x[/tex]

[tex]C(x) =4+ 2x[/tex]

The domain is:

[tex]2 < x \le 2 + 4[/tex]

[tex]2 <x \le 6[/tex]

(3) 0 charges for the last 2 hours

The maximum charge from (2) is:

[tex]C(x) =4+ 2x[/tex]

[tex]C(6) = 4 + 2*6[/tex]

[tex]C(6) = 4 + 12[/tex]

[tex]C(6) = 16[/tex]

Since there will be no additional charges, then:

[tex]C(x) = 16[/tex]

And the domain is:

[tex]6 < x \le 8[/tex] --- 8 represents the limit

So, we have:

[tex]C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right[/tex]

Given the data, identity the type of data for each variable. (For example, determine whether the variable Day is categorical or quantitative data). Which variable is most appropriate to summarize using ungrouped frequency distributions

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

The variables in the heavenly chocolate dataset is attached below :

Variables are classed as either Categorical or Quantitative.

Categorical variables are used for non - numeric variables which are used to group values based on labels whole quantitative variables are those which are numeric.

Therefore, the variables ;

Customer = Quantitative (represented with number values)

Day = Categorical (Non-numeric)

Browser = Categorical (Non - numeric)

Time = Quantitative (contains numeric values)

Pages viewed = Quantitative (contains numeric values)

Amount spent = Quantitative (contains numeric values)

Quantitative variables are most appropriate to summarize using ungrouped frequency as the attributed of the data can be adequately ibtia Ed without have to seperates or place data into categories.

the art club held a show for 2 days a total 269 people attended the show. On the second day, 15 more people attended than had come to the show the first day how many people attended on the first day?

Answers

Answer:

127 people

Step-by-step explanation:

Number of attendees the first day = x.

Solve the following equation for x:

x + (x + 15) = 2692x = 269 - 152x = 254x = 254/2x = 127

Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20

Answers

Correct options are -10 and 10

-7 + (-10² - 19)³/⁴ = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

-7 + (10² - 19)^3/4 = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

Rest options are incorrect

Answered by Gauthmath must click thanks and mark brainliest

Answer:

B and C, so 10 and -10

Step-by-step explanation:

A researcher would like to investigate whether or not there is a difference in IQ between Psychology and History majors. She gathers 16 students (8 whose major is Psychology, and 8 whose major is history) and has them all take an IQ test to test this hypothesis using an alpha level of .01. Below are the data: Psych History
110 90 120 98 100 100 90110 124 100 102 120 110 110 123 120
a. What is the appropriate test?
b. State the null hypothesis:
c. State the alternative hypothesis:
d. Find the critical value:
e. Calculate the obtained statistic:
f. Make a decision:
g. What does your decision mean?

Answers

Answer:

Paired t test

H0 : μd = 0

H1 : μd > 0

Critical value = 3.499

Test statistic = 2.230

Reject H0 if test statistic > Critical value

Kindly check explanation.

Step-by-step explanation:

Given the data :

110 90 120 98 100 100 90 110

124 100 102 120 110 110 123 120

The hypothesis :

H0 : μd = 0

H1 : μd > 0

Tcritical value, df = n - 1 = 8 - 1 = 7

Tcritical(0.01, 7) = 3.499

The difference, d = (-14,-10,18,-22,-10,-10,-33,-10)

The test statistic :

Xdbar / Sd/√n

The mean difference, Xdbar = Σx / n = - 11.375

The standard deviation of difference, Sd = 14.431

The test statistic :

-11.375 / (14.431/√8) ;

-11.375 / 5.102

= 2.230

Decison :

Reject H0 if test statistic > Critical value

Since ; 2.230 <3.499 ;

We fail to reject the null

Write 55% as a fraction in simplest form

Answers

Answer:

11/20

Step-by-step explanation:

If 10 wholes are divided into pieces that are one half of a whole each how many pieces are there?

Answers

9514 1404 393

Answer:

  20

Step-by-step explanation:

A whole can be divided into two pieces that are each 1/2 of the whole.

 (10 wholes) × (2 pieces per whole) = 20 pieces

round 12.5478 to the nearest hundredths

Answers

Answer:

12.04

Step-by-step explanation:

Find the number in the hundredth place  4  and look one place to the right for the rounding digit  1 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

What is the value of…
–13
–12
12
13

Answers

Answer:

-12

Step-by-step explanation:

that is b

A researcher wants to better understand the health benefits of eating vegetables. In a study he finds 300 adults aged 45-60 who eat at least 3 servings of vegetables a day on average. He finds another 200 adults who eat less than 3 servings of vegetables a day on average. The researcher looks at rates of cancer and heart disease in each group and compares both groups. In another study, the researcher finds 500 adults aged 45-60 who eat less than 3 servings of vegetables a day on average, and are willing to participate in a study. The researcher randomly assigns 250 of these adults to a diet which includes 4 servings of vegetables a day. The other 250 continue their usual habits. After 4 years, the rates of cancer and heart disease between the two groups are compared
Identify the statement that correctly states the reason for considering the first study as an observational study and second study as an experiment.
a. In the first study, the treatment is not imposed on the subjects, whereas in the second study the treatment is imposed on the subjects.
b. In the first study, the treatment is not imposed on every subject, whereas in the second study the treatment is imposed on every subject.
c. In the first study, the subjects were not randomly chosen, whereas in the second study the subjects were randomly assigned.

Answers

Answer:

a. In first study, the treatment is not imposed on the subjects, whereas in the second study the treatment is imposed on subjects.

Step-by-step explanation:

In the first study, observation are made on 300 adults who eat 3 servings of vegetables a day on average. The second study has further intensified the research which imposed treatment on the subjects. The random samples of adults are observed in both studies.

mr albernathy perchases a selection of wrenches for his shop. his bill was $78. he buys the same number of $1.50 wrenches and $2.50 wrenches, and half as may $4 dollars wrenches. the number of $3 wrenches is one more than the number of $4 dollars wrenches. how many of each did he purchase?

Answers

Answer:

Mr. Abernathy purchased 10 of $1.50 wrenches, 10 of $2.50 wrenches, 5 of $4 wrenches and 6 of $3 wrenches.

Step-by-step explanation:

In how many ways can a committee of 3 men and 2 women can be formed from 7 men and 5 women?​

Answers

Answer:

in five (5) ways a committee can be formed from 7 men and 5 women

Find mPMA + mCMT. Please help..

Answers

PMA = 37

CMT =  101 - 54 =47

Total = 37 + 47 = 84

Answer: A. 84

how many itegers from 15 to 85, inclusive are multibles of 8

Answers

Answer:

9

Step-by-step explanation:

First multiple of 8 in that range is 8(2)=16.

The last multiple of 8 in that range is 8(10)=80.

So we just need to find how many numbers there are between 2 and 10. inclusive.

10-2+1=9

It's also not that long to write out and count.

1-2

2-3

3-4

4-5

5-6

6-7

7-8

8-9

9-10

9 numbers there are

Multiply those 9 numbers by i you will have all multiples of 8 btw 15 and 85.

8(2)=16

8(3)=24

8(4)=32

8(5)=40

8(6)=48

8(7)=56

8(8)=64

8(9)=72

8(10)=80

72a^7/-9 as a monomial

Answers

Answer:

− 8 a ^7

Step-by-step explanation:

See picture for steps :)

Find the smallest possible value of x+y so that x^2 − y^2 is divisible by 74, where x and y are positive integers.

Answers

Answer: 2

Step-by-step explanation:

We know by different of squares, (x-y)(x+y)=74. Since we need to find the smallest possible answer for x+y, we let x+y=2, where both x and y = 1.

Help please. I need the answer

Answers

Answer:

y=-2/3x+6

Step-by-step explanation:

Graph it

Answer:

y= -2/3 x + 6

Step-by-step explanation:

1. In the graph, you can see the points (0,6) and (6,2)

2. Since you have all the available options, you can input both points into all equations.

3. In this case, the correct answer is y= -2/3 x + 6

Tìm diện tích của mặt. Phần mặt x2+y2+z2=9 nằm bên trên mặt phẳng z=1.

Answers

If you're familiar with surface integrals, start by parameterizing the surface by the vector-valued function,

r(u, v) = 3 cos(u) sin(v) i + 3 sin(u) sin(v) j + 3 cos(v) k

with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(1/√8).

Then the area of the surface (I denote it by S) is

[tex]\displaystyle\iint_S\mathrm dA = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}\left\|\dfrac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm dv\,\mathrm du \\\\ = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}9\sin(v)\,\mathrm dv\,\mathrm du \\\\ =18\pi \int_0^{\arccos\left(1/\sqrt8\right)}\sin(v)\,\mathrm dv = \boxed{\frac{9(4-\sqrt2)\pi}2}[/tex]

What is the slope line that passes through the points (10, 8) and (-15, 18)? Write your answer in simplest form

Answers

Answer: [tex]y=-\frac{2}{5}x+12[/tex]

y = mx + b

m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{18-8}{-15-10}=\frac{10}{-25}=\frac{2(5)}{-5(5)}=-\frac{2}{5}[/tex]

The y-intercept(b) can be found by substituting a point into the function.

[tex]y = -\frac{2}{5}x + b \\\\8=-\frac{2}{5}(10) + b\\\\8=-4+b\\\\b=8+4=12[/tex]

Therefore, the function is:

[tex]y=-\frac{2}{5}x+12[/tex]

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The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive? A story that ends with strike while the iron is hot Ly v d thc tin v 2 thuc tnh ca hng ha A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning. Explain which intermolecular force is primarily responsible for the unusually high boiling point of H2OH2O. Compare the strengths of intermolecular forces of attraction present in a sample of liquid water to the strengths of intermolecular forces of attraction present in liquid samples of H2SH2S, H2SeH2Se, and H2TeH2Te. Justify your answer using the information presented in both tables, and complete the statements below. 1. What are five modern practices towards animals that are reared for consumption?2. Explain the term "speciesism" in detail. i dont know what it is can someone help breaking larger molecules into smaller molecules and carbon How do you Graph 3x+4y< -16 on the coordinate plane With officers in night, he would march to the canteen like a guardsman. (Annotate) What do you know to be true about the values of p and q? Which of the following expressions is equal to x2 +25?O A. (x+10)(x-15)O B. (x-51)(x+51)OC.-512O D. (x+5)Will give brainyliest answer 300-20+100 divided by 4= Someone help me with this Carboxylic acid derivatives undergo hydrolysis to make carboxylic acids.a. Trueb. False Write a response about the pro-choice or pro-life debate. A physical trainer decides to collect data to see if people are actually weight changing weight during the shelter in place. He believes there will not be a meaningful change in weight due to the shelter in place order. He randomly chooses a sample of 30 of his clients. From each client, he records their weight before the shelter in place order, and again 10 days after the order. A summary of the data is below.The trainer claims, "on average, there is no difference in my clients' weights before and after the shelter in place order." Select the pair of hypotheses that are appropriate for testing this claim.H0: d = 0H1: d < 0 (claim)H0: d = 0 (claim)H1: d 0H0: d 0 (claim)H1: d = 0H0: d = 0 (claim)H1: d > 0H0: d = 0H1: d > 0 (claim)H0: d = 0H1: d 0 (claim)H0: d = 0 (claim)H1: d < 0H0: d 0H1: d = 0 (claim)b) Select the choice that best describes the nature and direction of a hypothesis test for this claim.This is a right-tail t-test for d.This is a right-tail z-test for d.This is a two-tail t-test for d.This is a two-tail z-test for d.This is a left-tail t-test for d.This is a left-tail z-test for d.c) Find the standardized test statistic for this hypothesis test. Round your answer to 2 decimal places.d) Find the P-value for this hypothesis test. Round your answer to 4 decimal places.e) Using your previous calculations, select the correct decision for this hypothesis test.Fail to reject the alternative hypothesis.Reject the alternative hypothesis.Fail to reject the claim.Reject the claim.Fail to reject the null hypothesis.Reject the null hypothesis.f) Consider the following statements related to the trainer's claim. Interpret your decision in the context of the problem (ignoring the claim) and interpret them in the context of the claim. Select the correct answer.Read the sentences from the passage.Meryl banged on the door, and before Kinsley could grant her permission or bar her from entering, she was breaking inand flopping onto her bed."Are you still staring at yourself? You know, Narcissus died and turned into a flower doing that," Meryl sald. "It's really notgood to be so in love with yourself," she offered, flipping through Kinsley's teen magazine.If only I did love myself, Kinsley thought, pulling on a pink-and-white checked hat, breaking in the floppy brim until shecould make it cover her protruding ears.What does the phrase "breaking in" mean as it is used in the passage?OA. In the first instance, it means "to stop doing something," and in the second instance, it means "to makesomething come apart."B. In the first instance, it means "to make something come apart," and in the second instance, it means "tostop doing something."OC. In the first instance, it means "to enter without permission, and in the second Instance, it means "to makesofter through use."OD"SIn the first instance, it means "to make softer through use," and in the second instance, it means "to enterwithout permission." What type of mutation is caused when a codon that corresponds to one of the twentyamino acids specified by the genetic code is changed to a chain-terminating codon?A nonsense mutation B silent mutation C chromosomal mutation D missense mutation Anyone Btsarmy here??