Answer:
Step-by-step explanation:
f(x) = 4-x
g(x) = h+k
g(f(x)) = 2-16x+26
so put f(x) in g(x)
h+k
h((4-x)(4-x) + k
h(-8x+16)+k
if h = 2 , then
2-16x+32 + k
and we want 26 instead of 32 so subtract 6 so K = (-6)
2-16x+32 + (-6)
2-16x+32 - 6
2-16x+26
h=2
k=(-6)
a) I have attached an image of a probability tree diagram.
b) 0.02332 (please round to where you need)
The probability that Terri chooses a blue pen is 2/7. The probability that Terri chooses a red pen is 4/7. The probability that Terri chooses neither a red nor blue pen is 1/7.
2/7 x 4/7 x 1/7 = 0.02332
Hope this helps! :)
Answer:
f(- 2) = 8
Step-by-step explanation:
Evaluating for x = - 2
f(- 2) = 2 - 4(- 2)³ - 11(- 2)² + 3(- 2) - 6
= (2 × 16) + (- 4 × - 8) + (- 11 × 4) - 6 - 6
= 32 + 32 - 44 - 6 - 6 = 8