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geniusboy [140]
3 years ago
6

A rectangular wall in Andrew's house has the dimensions shown. If

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

b. 189 square feet

18 X 12 = 216 square feet

4.5 X 3 = 13.5

13.5 X 2 = 27

216 - 27 = 189 square feet

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Answers:

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f(-1):  replace x in f(x) = x² + 3 with -1:  f(-1)  =  (-1)² + 3 = 4

f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em>  =  16 + 3 <em>- 2 + 3</em> = 20   <em>(since g(x) = 2X + 3)</em>

<em />

3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6  =  3x² - 4x + 3

f(g(2)):  First, evaluate g(2).  It is g(2) = 2(2) + 3 = 7.  Next, use this output, 7, as the input to f(x):    f(g(x)) = (7)² + 3 = 49 + 3 = 52

g(f(2)):  First, evaluate f(x) at x = 2:  f(2) = (2)² + 3 = 7.  Next, use this 7 as the input to g(x):     g(f(2)) = g(7) = 2(7) + 3 = 17

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