Answer:
- The simplified expression for f(g(x)) is x.
- The simplified expression for g(f(x)) is x.
- The functions are inverses of each other.
Step-by-step explanation:
<u>Given</u>:
We find that ...
__
So, the statements that apply are ...
- The simplified expression for f(g(x)) is x.
- The simplified expression for g(f(x)) is x.
- The functions are inverses of each other.
The vertex form: y = a(x - h)² + k
y = ax² + bx + c then h = -b/2a and k = f(h).
y = x² - 12x + 8
a = 1; b = -12; c = 8
h = -(-12)/(2·1) = 12/2 = 6
k = f(6) = 6² - 12·6 + 8 = 36 - 72 + 8 = -28
Answer: y = (x - 6)² - 28.
The statements expresses as
w <span>∝ b
where w = body's weight, b = amount of blood
Changing it into a direct variation becomes
w = kb or k = w/b
where k = proportionality constant
We know that k is obviously constant, we equation it into two states as
w</span>₁/b₁ = w₂/b₂
Given that w₁ = 160 lb, b₁ = 4.6 qt, b₂ = 175, w₂ = 175 lb. Then b₂ will be
160/4.6 = 175/b₂
b₂ = 160/(4.6*175) = 160/805 = 0.20 quarts
Your questions are integrated in just step-by-step solution.
Answer:
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Step-by-step explanation:
Unbalanced, if it was balanced the ice skater wouldn’t move