solve for x -
[tex]\bold{x {}^{2} + 5x + 6 = 0}\\\\[/tex]
ty! ~

Answers

Answer 1

The solution of the given quadratic equation is x=-2 or x=-3.

The given quadratic equation is x²+5x+6=0.

What are different methods to solve a quadratic equation?

The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.

By using the splitting middle term method we can solve x²+5x+6=0.

That is, x²+2x+3x+6=0

⇒x(x+2)+3(x+2)=0

⇒(x+2)(x+3)=0

⇒(x+2)=0, (x+3)=0

x=-2 or x=-3.

Therefore, the solution of the given quadratic equation is x=-2 or x=-3.

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Related Questions

The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?

Answers

Answer:

40%

Step-by-step explanation:

We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ⇒ Y = 8/20

By multiplying both numerator and denominator by 100 we will get:

Step 2 ⇒ Y = 8/20 × 100/100 = 40/100

Step 3 ⇒ Y = 40

Finally, we have found the value of Y which is 40 and that is our answer.

21 less than or equal to -3(x-4) less than 30

Answers

Answer:

-3(-4-4) would work giving you 24

Step-by-step explanation:

im sorry that qustion doesnt make sense, if you mean higher then 21, less than 30 than -3(-4-4) would work giving you 24

The graph below have the same shape. What is the equation of the red graph

Answers

Answer:

G(x)=x³-1

because it intersect at the negative side of y

Answer:

g(x) = x³ - 1

(option C)

Step-by-step explanation:

We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).

The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).

Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1

Find the area (in square units) of the region under the graph of the function f on the interval [-1,5].

F(X) = 2x+8

Square units: ?

Answers

Answer:

So generally, when you're trying to find the area under the curve, you want to integrate the function within the bounds in question, which in this case is 3 and 5. As a result, you get 4e^x - x^2/2. Then you want to subtract this when you put 3 in for x from when you put 5 in for x, such as the following:

(4e^5-25/2) - (4e^3 - 9/2)

When you combine like terms, you end up with the following answer:

4e^5 - 4e^3 - 8 square units

However, you can approximate the answer to 505.31 square units

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

Answers

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

What is the Z-score of a test statistic?

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

[tex]\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}[/tex]

[tex]\mathbf{Mean (\bar x) = \dfrac{24256}{10}}[/tex]

Mean (x) = 2425.6

The hypothesis testing can be computed as:

[tex]\mathbf{H_o: \mu = 2425.6}[/tex]

[tex]\mathbf{H_1: \mu \ne 2425.6}[/tex]

The standard deviation (σ) is:

[tex]\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}[/tex]

[tex]\mathbf{= \sqrt{3199489}}[/tex]

= 1788.71

Now, the Z-test statistic is determined using the formula:

[tex]\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }[/tex]

[tex]\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }[/tex]

[tex]\mathbf{|Z| = |-2.3058| }[/tex]

Z ≅ 2.306  

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

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Which table has greater constant of proportionality?

Answers

The table with greater proportionality is table 3.

What is constant proportionality?

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

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&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} S = square numbers E = even numbers Complete the Venn diagram. E S D E & = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } S = square numbers E = even numbers Complete the Venn diagram . E S D E​

Answers

Answer:

E = [1,2,3,4,5,6,7,8,9,10,11,12]

S = [4,9]

E = [2,4,6,8,10,12]

The number that satisfies both conditions S and E is [4]

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

The numbers in the Venn diagram are given,

S          S∩E         E

1,9          4          2, 6, 8, 10, 12

What is a Venn diagram?

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

S = square numbers

This means,

1² = 1

2² = 4

3² = 9

S = {1, 4, 9}

E = even numbers

This means,

E = {2, 4, 6, 8, 10, 12}

Now,

S ∩ E = Numbers that are even and square.

S ∩ E = {4}

Thus,

The numbers in the Venn diagram are given,

S          S∩E         E

1,9          4          2, 6, 8, 10, 12

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Which absolute value function defines this graph?

Answers

The vertex of the graph is at (-2, 3).

This means the equation is of the form [tex]f(x)=a|x+2|+3[/tex].

Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),

[tex]-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4[/tex]

So, the equation is [tex]\boxed{f(x)=-4|x+2|+3}[/tex]

Solve: 2v+15=3w for w.

Answers

Answer:

w= 2v/3 plus 5

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

Alex's recipe calls for 1/3 cup of chocolate chips for every 2 cups of flour. If he increases the
amount of flour to 3 cups, how many cups of chocolate chips will he need?

Answers

Answer:

1 cup

Step-by-step explanation:

1/3 cup of chocolate chips : 2 cup of flours

So 1/3:2 = x:3

Because we want to find x, the number of how many cups of chocolate chips he needs.
you can cross multiply where you get 1/3·3=2x
which is 1=2x and x=1

Trevor uses 2 ounces of almonds in each bag of trail mix he makes

Answers

The line on the graph which represents the same relationship between quantities. is line B; y = 2x

Line graph

Number of almonds = 2 ounces

Bags of trail mix = x

Total mix = y

The equation:

y = 2 × x

y = 2x

Complete question:

Trevor uses 2 ounces of almonds in each bag of trail mix he makes.

Bags of Trail Mix Almonds (oz.)

6 Line on the graph represents the same relationship between quantities.

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PLEASE HELP Only A

PLEASE

Answers

- 9/20 but decimal form is -0.45

Answer:

= -9/15 ÷ 4/3

= -9/15×3/5

= -9/15×3/4

= 36/5

=7

Using side lengths only, could the triangles be similar?

Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5.
No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction.
Yes, StartFraction 0.5 Over 1 EndFraction = StartFraction 0.5 Over 1 EndFraction.
Yes, One-half = StartFraction 0.5 Over 1 EndFraction.
Yes, StartFraction 1.5 Over 1 EndFraction = StartFraction 2 Over 1.5 EndFraction.

Answers

The triangles are not similar as the ratios are different.

How to depict the triangle?

ΔXYZ

XY = 1.5, XZ = 1, ZY = 2

Δ QSR

QR =1, RS = 1.5, SQ = 0.5

Ratios:

XY/SQ = 1.5/0.5

XZ/QR = 1/1  

ZY/RS = 2/1.5

The answer is no because ratios are different

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A piecewise function is shown here:

f(x) = {-3x +5 if x <2
{1/2x - 4 if 2 < or = to x < or = to 8
{2 if x > 8

Use the piecewise function to find each value given below.

f(0) =
f(-4) =
f(6) =
f(9)=
f(2) =

Answers

f(0) = -3(0) + 5 = 5

f(-4) = -3(-4) + 5 = 17

f(6) = ½(6) - 4 = -1

f(9) = 2

f(2) = ½(2) - 4 = -3

Using the restraints, find which equation the f(x) function validates and plug it in.

1) point)
Problem 2. Fill out the blank to make the given table a discrete probability distribution.
1) point)
2
3
4
P(x)
0.03
0.14
0.65
0.08

Answers

Answer:   0.10

Explanation:

Add up the given decimal values

0.03+0.14+0.65+0.08 = 0.90

Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10

As a check,

0.03+0.14+0.65+0.08 + 0.10 = 1

In the past month, Ryan has had five pizzas delivered. He kept a record of how long it took to get the
pizzas: 35 minutes, 25 minutes, 15 minutes, 40 minutes, and 50 minutes.
If the sixth time he orders pizza, it takes 95 minutes, how will this affect his data?
a.) It will have little to no effect on both the mean and the median.
b.) It will have little to no effect on the mean, but it will make the median a less useful measure
of center.
c.) It will make both the mean and the median less useful measures of center.
d.) It will have little to no effect on the median, but it will make the mean a less useful measure
of center.

Answers

It will have little to no effect on the median, but it will make the mean a less useful measure of center.

How to determine the effect?

The initial data elements are given as:

35, 25, 15, 40, 50

When a new data element is added, we have:

35, 25, 15, 40, 50, 95

See that 95 is far from the other data elements.

This means that 95 is an outlier of the data elements

Outliers have effects on the mean and it renders the mean useless.

However, it has little to no effect on the median

Hence, the true statement is (d)

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Answer:

Step-by-step explanation:

it will have little to no effect on the median but will make the mean a less useful measure of center.

Find y please help !!!

Answers

Answer:

20°

Step-by-step explanation:

take the sum of 3y + 10 and y and equal it to 90° that creates an equation making it easier for you to continue

Answer:

Y = 20°

let's assume the opposite angle of Y to be X

angle Y = angle X ( vertically opposite angles)

3y + 10 + X + 90° = 180° ( forming linear pair)

3y + X + 100 = 180°

X + 3y = 80° ----(1)

Y + 3y = 80°

4y = 80°

y = 20°

Evaluate sin ( Cos^-1( -15/17)) enter your answer as a fraction using the slash bar (/)

Answers

Answer:

sin(cos^-1(-15/17))=8/17

Step-by-step explanation:

I apologize for the bad writing, I hope you can read it

Problem 5. Utility Bills The monthly utility bills in a city are normally distributed and
represented by the variable X, with a mean of $100 and a standard deviation of $12. Find the
probability that a randomly selected utility bill is
(a) less than $70,
(b) between $90 and $120,
(c) more than $140.
(2 points)
(2 points)
(2 points)
Hint: Convert the normal distribution X to Standard normal using Z formula Z =
and then look the Z-values from the table and then find the probability.
X-μ
6

Answers

The probabilities in the question are

0.00620.74990.000429

How to solve for the probabilities

a. For  x < 70

we have

z< 70 - 100/12

= z < -30/12

= -2.5

Such that p (x<70) = 0.0062

Hence the probability that is is less than $70 = 0.0062

b.  between $90 and $120,

90 - 100/12. 120 - 100/12

= -0.8333 <z< 1.67

p(90<x<120) = 0.95224 - 0.20234

= 0.7499

0.7499 is the probability of  between $90 and $120.

c. more than $140

140-100/12

= P(Z>3.3333)

= 0.000429

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Where does billy bob johns

Answers

Answer:

in ur moms house

Step-by-step explanation:

Answer:

he doesn't

Step-by-step explanation:

The following data represent the number of people aged 25 to 64 years covered by health insurance​ (private or​ government) in 2018. Approximate the mean and standard deviation for age.
Age Lower Limit Upper Limit Number (millions)
25-34 25 34 26200000
35-44 35 44 33800000
45-54 45 54 33100000
55-64 55 64 29600000

Answers

Answer:

X=∑fX ∑f , where ¯X is the mean.

Mean = 115/4 = 28.75

Standard deviation = [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]     n = the number of items = 4

Standard deviation = √28.37/4 = √7.0925 = 2.66317

Step-by-step explanation:

Mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.

Standard deviation is the square root of the arithmetic mean of the squares of deviations of the items from their mean values

So, Class intervals are given here.

We have to find the middle point of the class interval.

So,

Class interval= 25- 34

Middle point= [tex]\frac{34-25}{2}[/tex]= [tex]\frac{9}{2}= 4.5[/tex]

Let's add 4.5 to the lower interval,

=> 25 + 4.5= 29.5

This is the median point and do the same for the other intervals too

i.e 39.5,49.5 and then 59.5 then multiply the number with the middle point.

So midpoint times the number. So, we get

29.5 * 21.7 = 640.15 & so on we get 129,...

Then add these numbers together. So that becomes 5375.75. And what about the total number here, that is

=>21.7 + 32.8 + 36.8 + 21.7= 118.5

So here,

Mean value, that should be equal to the sum of mean times the number divided by the total number here,

Mean= [tex]\frac{5375.75}{118.5}[/tex] = 45.36

So, this is the mean value.

Standard deviation:

Standard deviation =  [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]

[tex]\sigma[/tex] = population standard deviation

N = the size of the population

[tex]x_{i}[/tex] = each value from the population

[tex]\mu[/tex] = the population mean

So here is what we have to do,

We have to subtract the mean value from the middle point that is,

=>45.36- 21.5 and squared plus 45.36 -39.5 Squared. And plus this is 45.36 -49.5 Squared plus 45.36 -59.5 squared. And then, this is 45.

Let me just inside the apprentices Inside the practices, this is 45 .36 29.5 and take the square of this one And then add another one Which is 45.36 39.5 and then take the square this one too. And plus inside parentheses, this is 45.36 minus Which is 490.5 And then squared. That is 45.36 And -59 0.5 so And then take the square, there's 12 if you just add all of them, so we will get five 47.1184.

So the standard deviation is the square of 547, divided by The total frequency here.

Standard deviation = √28.37/4 = √7.0925 = 2.66317

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Emma bought 1305 bags of carrot for 16910 dollars. Find the unit rate in terms of bags per dollar.

Answers

Answer: $12.96

Given:

1305 bags of carrots purchased

Total cost = $16,910

Step-by-step explanation:

To find the unit cost, divide 16910 by 1305 to find the cost of one bag of carrots:

[tex]\frac{16910}{1305} = 12.96[/tex]  (rounded to nearest hundredth)

Fill in the blank to make the tw
7
9
||
0
54
X

Answers

Answer:

lol

79*540=lol haha

Step-by-step explanation:

then lol lala lol hahahaha hahaha ten another big lol get it lollalol

Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7

Answers

Answer:

y = 2

Step-by-step explanation:

Addition Method:

4x - 2y = 6

2x + y = 7

-2(2x + y) = -2(7)

4x - 2y = 6

-4x - 2y = -14

-4y = -8

y = 2

Substitution Method:

4x - 2y = 6

2x + y = 7

-2y = 6 - 4x

2y = 4x - 6

y = 2x - 3

2x + (2x - 3) = 7

4x - 3 = 7

4x = 10

x = 2.5

2(2.5) + y = 7

5 + y = 7

y = 2

Brainliest, please :)

three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?​

Answers

Answer:

200 Bricks

Step-by-step explanation:

1/3 of the bricks were not used(which was 50 bricks), meaning that 3/3 is 150 bricks of the pile. Since 150 is 3/4 of the original pile, that means that there was 200 bricks at the beginning.

a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). she can walk at the rate of 5 mi/h from C to B and row a boat at 3.5 mi/h from A to C . setting T (x) function to the time by interlaced AC, x is interlacted AC. how to move for shortest.

Answers

If she arrives by boat;

The distance she needs to row = Lake diameter

Distance = Lake diameter = 2 x Radius

Boat distance = 2 x 2 miles = 4 miles

So;

When moving on foot

The distance that needs to be moved D = Half of the circle circle

∴ D = π × Radius

The distance that needs to be moved D = π × 2 miles = 2π Miles

Arc length = Radius × θ

String length = radius x 2 x sin (θ / 2)

0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1

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Prove that < AOD and < BOD are supplementary

Answers

Angle AOD and < BOD are supplementary since they are both right angles which equal 180°.

What is a supplementary angle?

It should be noted that a supplementary angle simply means an angle that adds up to 180°.

In this case, the angles given are both rights angles. This will be:

= 90° + 90°

= 180°

In this case, Angle AOD and < BOD are supplementary since they are both rights angles which equal 180°.

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Evaluate: y(x+x)+3, where x=1 and y=3 A. 3 B. 10 C. 9 D. 5

Answers

Answer:

C. 9

Step-by-step explanation:

y(x+x) +3

{x= 1 , y= 3}

Putting values..

3 (1+1) +3

= 3 (2) +3

= 6 + 3

= 9

So, the option C. 9 is the correct answer.

Question Content Area
Strait Co. manufactures office furniture. During the most productive month of the year, 3,500 desks were manufactured at a total cost of $83,800. In the month of lowest production, the company made 1,240 desks at a cost of $61,900. Using the high-low method of cost estimation, total fixed costs are

a.$21,900
b.$49,885
c.$61,900
d.$83,800

Answers

b. Total fixed cost are $49885

What is fixed cost of product ?

Sometimes production of a product may increase or decrease, but the cost which do not change with the change of output is called fixed cost of the product.

What is the total fixed cost ?

Highest monthly total cost = $83800

Highest monthly production units = 3500 desks

Lowest monthly total cost = $61900

Lowset monthly production units = 1240 desks

So, variable cost per unit = (Highest cost-lower cost)/(highest production units-lowest production units)

= ($83800-$61900)/(3500-1240)

= $21900/2260

= $9.7

∴ Total fixed costs=Highest monthly total cost-(highest production units×variable cost per unit)

= $83800-(3500×$9.7)

= $83800-$33950

= $49850

Nearest value is $49885, whch is the correct one.

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Answer this please, thank you in advance :D

Answers

i) Student A used the property of the power of a power and student B used the definition of power and the property of the product of power with the same base. ii) Both were correct.

How to understand power properties

In this question we must analyze the procedure used by each student to simplify a power into the form rⁿ:

i) The student A used the property of the power of a power which states that [tex](r^{m})^{n} = r^{m\cdot n}[/tex]. In exchange, the student B used the definition of power and the property of the product of powers with the same base.

ii) Based on the description in i), both students used correct methods of simplifying.

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Use the multiplication law for logarithm to expand the following expression:[tex]log_{8} (21)[/tex]- worth 20pt What type of facility has a frequency of 108.15 MHz? A researcher wants to compare math performance scores of high school juniors who are located in various urban areas.The researcher will most likely conduct the research by using which descriptive research method? i need this answer a.s.a.p!!! The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family hadat least 3 girls? at most 3 girls? the 5 end of the dna molecule is considered ____, while the 3 end of the dna molecule is considered the _____ PLEASE HELP!!Write Y=x^2+4x+3 in standard form Please help me answer this task about Plant Biotechnology Please help!!! Consider the segment UV.Type the correct answer in each box. Use numerals instead of words. can you help me solve this question What does the Supplement nutrition assistance program (SNAP) provide? Why are stems so controversial suppose the theoretical probability of winning a prize in the carnival game 0.18 based on this probability how many more customers would u have expected to win a prize which type of virtual machine (vm) takes advantage of unused capacity in data centers at a much lower cost than regular vms of similar sizes? Who was the leader of the war hawks for the southern states, advocating going to war with Britain in 1812? A.James MadisonB.John MarshallC.Henry ClayD.John C. CalhounIt is not C or A What is the product? Assume x>0.(3x + 5)15x+230O 3x5+3165x+10-6O 3x5 +610x +53x +10/6O 3x5+1060 63x+106 Priya wants to sketch a graph of the polynomial f defined by f(x)=x^3+5x^2+2x-8. She knows f(1)=0, so she suspects that (x-1) could be a factor of x^3+5x^2+2x-8 and writes (x^3+5x^2+2x-8) = (x-1) (?x^2+?x+?) and draws a diagram. 1. Finish Priya's diagram 2. Write f(x) as the product of (x-1) and another factor. 3. Write f(x) as the product of three linear factors. 4. Make a sketch of y=f(x). Many medicines started out as natural products. Aspirin was originally made from _______________A. The bark of the willow treeB. PoppiesC. MoldD. The foxglove flower. Which is not a characteristic of the absolute value parent function? Study the following list of words. Check all the words which could be categorized as SLOW words. Use your dictionary or thesaurus if you are not sure of a word's meaning.lullturtleskimdashrapidswiftsoftlycrawlcrashhushsoundlessshoutrelaxjumplagcrackfleesplashjanglestillhotcreeproarzoommurmursilenceseveresnailboomdartyellloitersleepskipbarkpeacelazyelegantspeedy