Solve the equation to this problem

Answer:

C. f(x) = x4(x – a)(x – b)2

Step-by-step explanation:

just took the test on edge

A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².

In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.

This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:

In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².

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Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

The answer is: [tex]y=-x^2[/tex].

Hope this helps.

Answer:

=0.065x10−0.1

Step-by-step explanation:

(1.3x10−2)(0.05)

=(1.3x10+−2)(0.05)

=(1.3x10)(0.05)+(−2)(0.05)

=0.065x10−0.1

Answer: 0.55

Step-by-step explanation:

1.3 x 10= 13

13-2= 11

11  x 0.05= 0.55

BOOM! math.

Answer:

90

Step-by-step explanation:

If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.

Answer:

x = 90°

Step-by-step explanation:

Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]1/12 \times 3/4[/tex]

[tex]3/48[/tex]

[tex]=1/16[/tex]

1/16 ft^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

425 in.^3

Step-by-step explanation:

volume = length * width * height

Change all mixed numerals into decimals.

volume = 12.5 in. * 8.5 in. * 4 in.

Now use a calculator to multiply the three numbers together.

volume = 425 in.^3

Answer:

10$

Step-by-step explanation:

math

Answer:

10

Step-by-step explanation:

because i know

Answer:

[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

Answer:

The answer would be D

Step-by-step explanation:

Answer:

D

The triangle moved 6 units right and one unit up.

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

Answer:

Histogram

Step-by-step explanation:

A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one

Answer:

The equations are:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

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Answer:

[tex]\frac{27}{125}[/tex] or 0.216

Step-by-step explanation:

Assuming you meant 3 × (√81) ÷ 125 =

3 × 9 ÷ 125 =

27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216

Answer:

[tex]\frac{15x-5}{5x+6}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{3x-5}{x+6}[/tex]

To evaluate f(5x) substitute x = 5x into f(x)

f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24

Answer:

D.

Step-by-step explanation:

If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.

Answer:

1)  C)[tex]\sqrt{149}[/tex]

2) A) Yes

Step-by-step explanation:

Answer:

Where is the picture?  Also, Im kinda confused

Step-by-step explanation:

Answer:

A box plot would make it easier to see that the third quartile is 14 degrees C.

Step-by-step explanation:

On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.

Answer:

Box plot and dot plot

Step-by-step explanation:

Because I checked.

Follow me

get me to brainliest

Peace out

Answer:

a. 100usd{99.30487yen/1usd}

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

Answer:

Scale = 1/200 = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Step-by-step explanation:

Scale is the ratio of the original object to the drawn plan.

Scale = plan : original

Scale = plan length ÷ original length

Plan length = 7.5 centimeters

Original length = 1.5 meters = 1,500 centimeters

Substituting the values;

Scale = 7.5/1500 = 1/200

Scale = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Answer:

His profit from mowing x lawns is 19x-15

Step-by-step explanation:

Revenue for mowing x lawns = 25x

Cost for gas and the mower rental = 6x+15

We are supposed to find His profit from mowing x lawns

p(x) denotes His profit from mowing x lawns

Profit = Revenue - Cost

So,p(x)=25x-(6x+15)

p(x)=25x-6x-15

p(x)=19x-15

So, Option B is true

Hence His profit from mowing x lawns is 19x-15

Answer:

2 seconds to reach maximum height

Step-by-step explanation:

Answer:

s cubed

Step-by-step explanation:

Formula for volume of a cube is side ^3

The volume of cube with side length s is s cubed.

A cube is a region of space formed by six identical square faces joined along their edges.

The volume of cube is defined as the total number of cubic units occupied by a cube.

The Formula for the volume of cube is given by

[tex]v = a^{3}[/tex]

Where, v is the volume of cube

and, a is the side of cube.

According to the given question we have

The side length of cube is s.

Therefore, the formula for finding the volume of cube is given by

volume of cube = [tex]s^{3}[/tex]

Hence, the volume of cube with side length s is s cubed.

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Answer: transforms

Step-by-step explanation:

7/12

12/12 is the total

So 12/12 minus 5/12 is 7/12

Correct me if I am wrong

Answer:

x < 11

Step-by-step explanation:

–8x + 16 > –72

Let's transfer the components which do not contain x to the right side and change sign of these components

-8x > -72 - 16

Now, we simplify the right side

-8x > -88

We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol

(-1/8)*(-8)x < (-1/8)*(-88)

Finally, we simplify both sides to solve this inequality

x < 11

Hope this helps!