Answer:
a) 186
Step-by-step explanation:
g(x) = 7(x^2 + 3) - 10
g(5) = 7((5)^2 + 3) - 10
g(5) = 7(25 + 3) - 10
g(5) = 7 × 25 + 7 × 3 - 10
g(5) = 175 + 21 - 10
g(5) = 186
Answer:
f(g(x)) = (5x)^2 = 25x^2
Step-by-step explanation:
If f(x) = x^2 and g(x) = 5x, then
f(g(x)) = (5x)^2 = 25x^2
16 - 5(3t - 4) = 8(-2t + 11) <em>use distributive property</em>: <em>a(b + c) = ab + ac</em>
16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)
16 - 15t + 20 = -16t + 88
36 - 15t = -16t + 88 <em>subtract 36 from both sides</em>
-15t = -16t + 52 <em>add 16t to both sides</em>
t = 52
