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olga55 [171]
3 years ago
7

If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer: 4

Step-by-step explanation:

(g*h)(5) = 4

Firstly, h(5) = 5 - 7 = -2

Then, evaluate g(-2) = (-2)^2 = 4

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A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

brainly.com/question/76387

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2 years ago
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What is the equation for the translation of X^2+y^2=9 four units to the right and three units down
icang [17]
We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
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the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

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3 years ago
Espen predicted that he would sell 32 baseball caps, but he actually sold 29 baseball caps. Which expression would find the perc
tiny-mole [99]

Answer:C is the answer

Step-by-step explanation:

3 0
3 years ago
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Find the product of<br> (x2 + 3x + 1)(x2 + x + 2)
Bogdan [553]

Answer: x^4+4x^3+6x^2+7x+2

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2

4 0
3 years ago
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