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Kaylis [27]
3 years ago
13

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its othe

r base. It takes as input the other base value, and returns as output the area of the trapezoid a(b) = 14 * (b + 5)/2 Which equation below represents the inverse function b(a) , which takes the trapezoid's area as input and returns as output the length of the other base? N(c) = (c + 15)/20; n(c) = (c + 20)/15; n(c) = (c - 20)/15; n(G) = (Q - 15)/20
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

b(a) = \frac{a}{7} -5

Step-by-step explanation:

Given

a(b) = 14 * \frac{b + 5}{2}

Required

The inverse function

We have:

a(b) = 14 * \frac{b + 5}{2}

a(b) = 7(b + 5)

Rewrite as:

a = 7(b + 5)

Divide by 7

\frac{a}{7} =b + 5

Subtract 5

b = \frac{a}{7} -5

Express as:

b(a) = \frac{a}{7} -5 --- the inverse function

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Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

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