Please Help!
Select all of the expressions that are equivalent to 10x-30.
Select all that apply.

The functions f(x), g(x) and h(x) are related as a result of composite functions

The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2

From the question, we have the following equation

h(x) = f(x)/g(x)

This gives

f(x) = g(x) * h(x)

The function h(x) is given as:

h(x) = x - 4

So, we have:

f(x) = g(x) * (x - 4)

The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2

Next, we assume that:

g(x) = x² - x - 2

So, we have:

f(x) = (x² - x - 2) * (x - 4)

Expand

f(x) = (x³ - x² - 2x - 4x² + 4x + 8)

Evaluate like terms

f(x) = x³ - 5x² + 2x + 8

The above function exists in the given table.

Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2

Read more about composite functions at:

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Answer:

x-intercepts are points at which the curve intercepts the x-axis, so when y = 0.

If the vertex of a quadratic function is on the x-axis, there will be only one x-intercept since the parabola will intersect the x-axis at one point only.

If the vertex of the function touches the x-axis, the zero at this point will have a multiplicity of two.  For example, if the vertex is at (4, 0), and therefore the zero is at x = 4, then the function will be [tex]y=a(x - 4)^2[/tex] (where a is some constant).

Vertex form of parabola

Where

So

if vertex is on x axis k is 0 and the parabola has only 1 x intercept

The form will be

Answer:

h=97

Step-by-step explanation:

38+45=83

180-83=97

Jaleel did the sides by eachother.

Since it's 3d, it also wants them/us to count the sides that are not shown. He did one side by the length and then another by the height, then doubled it. Finally he added it all together

Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.

The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, the weights are as follows:

Hence, her weighed mean is given as follows:

[tex]M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6[/tex]

Mara's average for the course was of 68.6.

More can be learned about the weighed mean formula at https://brainly.com/question/24398353

Answer:

a)

[tex] {x}^{2} - 16 \\ = {x}^{2} - {4}^{2} \\ = (x + 4)(x - 4)[/tex]

b)

[tex] {9y}^{2} - 25 \\ = {(3y)}^{2} - {5}^{2} \\ = (3y + 5)(3y - 5) [/tex]

here is the answer hope that will help you

Answer:

option (b) 1.707

Step-by-step explanation:

1.707 is your required answer

[tex]2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}[/tex]

[tex]\text{Hence the answer is A}[/tex]

Answer:

[tex] \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]

Step-by-step explanation:

[tex] \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]

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Answer:

40 Percent decrease

Step-by-step explanation:

We can use a simple formula to solve this problem.

Starting price * X/100 = Ending Price

We plug in our values to solve for X

45 * x/100 = 18

You simplify the equation and you should get X as 40, meaning there is a 40 Percent decrease in price.

Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.

A deposit ticket is a little paper where you are required to fill in the details of the deposit that you seek to make into your savings account. All information in the ticket ought to be filled accurately.

The teller may have declined to receive the ticket due to incorrect total amount filled on the ticket. Alisa should either fill out a new ticket or write the correct amount and append her signature beside it.

Learn more about savings account:

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Answer:

a. the subtotal is calculated incorrectly

Step-by-step explanation:

I'm good at math ;)

Answer:

A

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = [tex]\frac{x}{3}[/tex] - 2 ( add 2 to both sides )

y + 2 = [tex]\frac{x}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

3(y + 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then inverse function is

[tex]f^{-1}[/tex] (x) = 3(x + 2)

Yes the pre image and image are congruent inspite of reflection, rotation or translation

This happens because they are rotated or translated according to a constant factor called scale factor

Answer:

4 inches x 8 inches x 3 inches = 96 inches³

Answer:

5y^2(4y^4 - 3y^2 +8

Step-by-step explanation:

20y^6 - 15y^4 + 40y^2

Answer:

The slope should be -2

You should go down 2 and go over 1.

Slope Intercept Form: y= -2x+3

Step-by-step explanation:

First, you need to identify the slope: (meaning whether it is a postive or negative.)

In this case, You have a negative slope.

This means instead of rising you're decreasing down.

When you "run" or move horizontally you MUST move right even if it's a negative slope.

Now, you need to identify your Y-Intercept.

Your Y-Intercept should be (0,3)

Next, you have to find your slope:

In order to find your slope, you need to find where the line is crossing the coordinate.

Start at (-1,5) and go down and over to (0,3)

Your answer should be that you went down 2 and over 1.

The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.

The slope is -2.

In Slope Intercept Form: y= -2x+3

Answer:

A transformation of (0,4), in order words, adding 4 to all your y-values.

Step-by-step explanation:

If you were to plot f(x) and g(x), you'd notice that all the y-values have been moved up by 4. To prove this to yourself, lets take the y-intercept.

Let x = 0, then g(0) = 2 and f(0) = -2, as you can see the y-value of the intersect has been shifted upwards by 4. Therefore, it can be said that f(x) has been shifted by (0,4), so f(x) +4 = g(x).

Answer:

Step-by-step explanation:

First Multiply 12.8, 36, and 24 1/2 or 12.8 x 36 x 24.5 which equals 11289.6, and divide it by 2 which gives you 5644.8 inches of water.

Answer:

See below.

Step-by-step explanation:

The rate of a taxi is a $5 per mile and there is a service charge of $10. Represent the total cost, y, as a function of number of miles, x.

Answer:

Francesca can buy 4 packages of balloons for $34.

Step-by-step explanation:

35.42 x 100 = 3542 ÷2 = 1771

 8.36 x 100 =   836 ÷2 =  418

1771 ÷ 418 = 4.236842105263158 (We will round it to 4.23)

If we round it to 5, it will exceed Francesca's budget, so we will make 4.23 4.

4 x 8.36 = $33.44

We cannot cut the 44 cents so we will round it to $34.

Hope this helped!

Answer:

D

Step-by-step explanation:

[tex](40 - 10)x - 12000 \geqslant 980[/tex]

[tex]30x - 12000 \geqslant 980[/tex]

There is no figure pic above

Step-by-step explanation:

Answer:

5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer:

5.20 ft (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Height of an equilateral triangle}=\dfrac12(\sqrt{3}x)\quad \textsf{(where}\:x\:\textsf{is the side length)}[/tex]

Given:

[tex]\begin{aligned}\implies \textsf{Height} & =\dfrac12(6\sqrt{3})\\ & =3\sqrt{3}\\ & =5.20\: \sf ft \: \textsf{(nearest hundredth)}\end{aligned}[/tex]

If no withdrawls were made, the total amount of money Yoko would have in her account in 8 years is $6,319.84.

When an account is compounded semiannually, it means both the amount deposited and the interest accrued increases in value twice yearly.

The formula that can be used to determine the value of the account in 8 years is:

FV = P (1 + r)^nm

$4000 x (1.029)^(2x8) = $6,319.84

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

a

Step-by-step explanation: bc i just did it

Answer:

0.42

Step-by-step explanation:

when your multiplying decimals that small, it usually doesnt go into the whole number range

Check the picture below.

Answer: A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest."Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

18

Step-by-step explanation:

2/3 = 66%

66% of 18 =

12-6=

6