All categories

3 years ago

If h(x) = 2x and g(x) = 3x2 + 1, what is h(g(x))?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

8 0

Answer:

h(g(x))=h(3x^2+1)=2(3x^2+1)=6x^2+2

You might be interested in

Help if you can thank you

nata0808 [166]

Both of them are 6 units

6 0

3 years ago

Read 2 more answers

Solve by both sides variable josh has two leaking pipes in his basement. while waiting for the plumber to come, josh puts a buck

aleksandrvk [35]

First off, you misspelled some words, second WHICH BUCKET does josh's brother take? That's important!

6 0

3 years ago

A homeowner has 32 feet of fencing to build three sides of a rectangular chicken coup. One side of the chicken coup will be agai

zepelin [54]

Answer:

The ideal length is 16 feet

The ideal width is 8 feet

Step-by-step explanation:

The given parameters are;

The length of the fencing available to the homeowner = 32 feet

The number of sides of the rectangular chicken coup the fence will be applied = 3 sides

Let L represent the length and W, represent the width

Therefore, we have;

The perimeter of the fence = 2W + L = 32 feet

L = 32 - 2·W

The area is given by, A = Length, L × Width, W

A = (32 - 2·W) × W = 32·W - 2·W²

Differentiating with respect to W and equating to 0 to find the maximum point gives;

dA/dW = d(32·W - 2·W²)/dW = 0

32 - 4·W = 0

4·W = 32

W = 32/4 = 8

W = 8 feet

Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point

The ideal width W = 8 feet

The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet

Therefore, the ideal length, L = 16 feet.

6 0

3 years ago

Help, please. I just need an answer, so if anyone is bored, for the love of god please...

Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

$3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}$

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em> $y-y_1=m(x-x_1)$

$y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1$

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

$-\frac{3}{4}x+y=1$

If we multiply the whole equation by -4, we can get rid of the fraction.

$-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4$

Hence, option B is also correct.

7 0

1 year ago

Determined to find the slope<br>(1 7K), and (-3,5K)

Helga [31]

Answer: $\dfrac{K}{2}$ .

Step-by-step explanation:

As we know ,

The slope of a line that passes through $(x_1,y_1)$ and $(x_2,y_2)$ is given by :

$\dfrac{y_2-y_1}{x_2-x_1}$

The slope of a line that passes through (1 , 7K), and (-3,5K) =

$\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}$

Hence, the slope of the given line is $\dfrac{K}{2}$ .

8 0

3 years ago