Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
Answer:
189 gallons
Step-by-step explanation:
7 gallons for 3 classrooms, so 7/3 for 1 classroom
multiply 7/3 * 129 to get 301 gallons at North High School
multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary
301 - 112 = 189 gallons more at North High School than at Edgewater Elementary
Answer: 1. 3x=15. 2. is correct
3. X=15
For the same reasons as the last problem...
s(n)=20(1-(1/2)^n)/(1-1/2)
s(n)=40(1-(1/2)^n)
But this time we are not starting at one so we must subtract the sum of s(2) from the sum of s(12) so:
40((1-(1/2)^12-(1-(1/2)^2)
40(0.249755859375)
≈9.99 (to nearest one-thousandth)