All categories

3 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

2 answers:

azamat3 years ago

6 0

F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4

serg [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Write the rule for h(f(x)).

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

Write the rule for f(h(x)).

f(h(x)) = 2x - 4

You might be interested in

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0

2 years ago

Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets

Inga [223]

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30.

3 0

3 years ago

Expand 2(q+3) please

Y_Kistochka [10]

Answer:

2q + 6

Step-by-step explanation:

<u>Expand the expression with the help of distributive property.</u>

2(q + 3)
=> (2 x q) + (2 x 3)
=> 2q + 6

Hence, the expanded expression is 2q + 6.

5 0

2 years ago

Read 2 more answers

Propane has a heat energy of 2,470 BTU/ft cubed. How much energy can a propane tank with a volume of 43.7 ft cubed produce?

professor190 [17]

Answer: $107939\ BTU$

Step-by-step explanation:

Given

Propane produced heat energy of $2470\ BTU/ft^3$

The volume of the tank is $43.7\ ft^3$

The energy produced by this propane tank is

$\Rightarrow 2470\times 43.7=107939\ BTU$

4 0

2 years ago

Hello im in 8th grade and I need to get my grades up so anyone know the answer to

jolli1 [7]

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

4 0

3 years ago