Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: , where r is the radius. From above, we know that , so we can plug this into the equation:
Thus, the answer is C.
Answer:
6) The answer is 210p - 105
7) The answer is -124q + 216
Step-by-step explanation:
1. Always Distributive Property first
6) -14 (8 - 15p) 7) -12 ( -18 + 10q)
-112 +210p 216 -120q
2. Combine like terms
6) -112 + 7 = -105 your full answer is 210p -105
7) -120q + -4q = -124q Your full answer is -124q +216.
Hope this helps.
Answer:
The dimensions are 24 and 12 meters.
Step-by-step explanation:
W + L + W + L = 72 perimeter
(L-12) + L + (L-12) + L = 72
4L - 24 = 72
4L = 72 + 24 = 96 ====> L = 96%2F4 = 24.