All categories

3 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3

Mathematics

2 answers:

Vinil7 [7]3 years ago

4 0

Answer:

h(f(x)) = 2x - 11

(the second answer is f(h(x)) = 2x - 4)

Step-by-step explanation:

h(x-7) = 2(x-7) + 3

h(x) = 2x -14 + 3

h(x) = 2x - 11

Andrei [34K]3 years ago

3 0

<u>Answer:</u>

The correct answer option is h(f(x)) = 2x - 11

<u>Step-by-step explanation:</u>

We are given two functions:

$f(x) = x-7$ and $h(x) = 2x+3$

and we supposed to find another function which is $h(f(x))$ .

To find $h(f(x))$ , we need to substitute the value of $f(x)$ in the other function i.e. $h(x)$ to get:

$h(f(x)) = h(x-7)$

$h(f(x))= 2(x-7)+3$

$h(f(x))=2x-14+3$

$h(f(x)) 2x-11$

Therefore, the correct answer is h(f(x)) = 2x - 11.

You might be interested in

Which set of ratios could be used to determine if one triangle is a dilation of the other

Lisa [10]

Answer:

See explanation

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

$\frac{3.6}{3} = 1.2$

$\frac{5.4}{4.5} = 1.2$

$\frac{6}{5} = 1.2$

The set of ratios which could be used to determine if one triangle is a dilation of the other is

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

If there are multiple correct options then check this one too.

$\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}$

3 0

3 years ago

The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a

faust18 [17]

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes

$V = \pi (x+8)^2(2x+3)$

If you want, you can simplify it by expanding the square and then multiply the two parenthesis:

$V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)$

6 0

3 years ago

WILL MARK BRAINLIEST

lutik1710 [3]

Answer:

x = 15

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

3 0

3 years ago

While shopping at Walmart, I had the option to buy either a 12 pack of Soda for $13, or I could buy a 24 pack for $24. Based on

ira [324]

Answer:

The 24 pack for 24 dollars!

Step-by-step explanation:

This is because you see that 12 is 1/2 of 24 and if you do 13x2 you get 26$ so for the 12 pack if you double it you will be paying 2$ more than if you got the OG 24 pack

8 0

2 years ago

Read 2 more answers

Evaluate the follow expression

STatiana [176]

I see the answers,but where is the problem (equation that needs to be solved)

4 0

2 years ago