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labwork [276]
3 years ago
11

An eighth-grade student claims she can prove that subtraction of integers is commutative. She points out that if a and b are int

egers, then
a - b = a + (-b)
Mathematics
1 answer:
irina [24]3 years ago
7 0
That is right. Just like a * b = b * a
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We are given function f(a) = 1.07a for total amount including sales tax.

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We need to write function g(f(a)).

g(f(a)) = g of f(a).

We need to substitute function f(a) in g(b) function for b.

g(f(a)) = g(1.07a) = 1.07a +50.

<h3>Therefore,  g(f(a)) = 1.07a +50.</h3>

We are given mattress price a = $1125.

In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.

Plugging a= $1125, we get

g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.

<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
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