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ollegr [7]
3 years ago
7

If f(x) = x2 + 1 and g(x) = 5x – 3, what is f(g(x))?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

5x2 - 10

Step-by-step explanation:

F(5x - 3)

(5x - 3)2 + 1

5x2 - 9 + 1

5x2 - 10

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What is the maximum area for a rectangle whose perimeter is 48 meters?
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Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length)  + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W   (divide both sides by 2)

24 = L + W

or

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W  -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

A = -W² + 24W

Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) =  -b/2a

In this case, b = 24 and a = -1

-b/2a = -24/[ 2(-1) ] = 12

Hence for A to be maximum A(max) = 12m² (Answer)

5 0
3 years ago
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HACTEHA [7]

Answer:

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8 0
3 years ago
What is 8 groups of0.32?
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To check you multiply:

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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
What is 32/36 simplified
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32/36 simplified is 8/9 
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