Answer:
4
Step-by-step explanation:
f⁻¹(x) = x²+3, but none of that matters, since f(f⁻¹(x)) = x
X-intercept: y = 0
y-intercept: x = 0
3x + 4y = 0
x-intercept: subtitute y = 0
3x + 4 · 0 = 0
3x = 0
x = 0 → (0; 0)
y-intercept: subtitute x = 0
3 · 0 + 4y = 0
4y = 0
y = 0 → (0; 0)
Answer:
Step-by-step explanation:
A) The constant of proportionality in terms of minutes per bracelet is
15/3 = 5 minutes per bracelet
B) The constant of proportionality represents man hour rate
C) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
t = kb
D) the constant of proportionality in terms of number of bracelets per minute is
3/15 = 1/5
E) The constant of proportionality represents production rate
F) let k = constant of proportionality, t = time in minutes and b = number of bracelets produced. Therefore,
b = kt
G) The constants of proportionality are reciprocals
H) Two equations are equivalent if they have the same solution. They are not equivalent. By inputting the different values of k, the solutions will always be the same. Therefore, they are equivalent.
3 days : 1 week
1 week = 7 days
therefore 3 days : 1 week = 3 days : 7 days = 3 : 7
Answer: Choice D) x can be anything but 13
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Explanation:
The domain of
is the same as the domain of g(x)
The domain for g(x) is
saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because

and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.