Answer:
C
Step-by-step explanation:
(2x + 3)^5 = C(5,0)2x^5*3^0 +
C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5
Recall that
C(n,r) = n! / (n-r)! r!
C(5,0) = 1
C(5,1) = 5
C(5,2) = 10
C(5,3) = 10
C(5,4) = 5
C(5,5) = 1
= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5
= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243
= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243
= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
Answer:
5 visits
Step-by-step explanation:
70 + 12.5 = 82.5 points
145 - 82.5 = 62.5
62.5 ÷ 12.5 = 5
5 visits.
Answer:
a) (0, ∞)
b) (-∞, ∞)
c) x = 0
Step-by-step explanation:
It helps to have some idea what the log function is.
__
a) The domain is all positive numbers: (0, ∞).
b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)
c) There is a vertical asymptote where the argument of the log function is zero: at x=0.
-5 because it is closest to zero and -17 is farther than zero on a number line :) <span />
