Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
Answer:
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Step-by-step explanation:
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Answer:
54!
Step-by-step explanation:
you add and subtract all the numbers!
Answer:
When did Mary and Wyatt meet? 0.5 minutes later
How far from point Q did they meet? 3.5 km
Step-by-step explanation:
Mary’s motion is represented by d = 8t----(1)
Wyatt’s motion is represented by 2d + 14t = 15----(2)
We solve for d in equation (2) to get:d=7.5-7t----(3)
We equate equation (1) and (3) to get:
We now solve for t to get:
Now put t=0.5 into equation (1) to get d=0.5*8=4
This means they met 4 km from point P.
Therefore they meet 7.5-4=3.5km from point Q
