Answer:
B, E
Step-by-step explanation:
It can be helpful to factor the first two terms:
f(x) = x^2(x -7) +36
This can make it easier to evaluate the function for different values of x.
The answer choices suggest you need to know whether f(5) and f(-14) match the values given here.
f(5) = 5^2(5 -7) +36 = -50 +36 = -14 . . . . matches choice B (and E)
f(-14) = (-14)^2(-14-7) +36 = -21(196) +36 . . . . <em>does not match</em> choice A (or D)
__
The one remaining answer choice we need to consider is C. If we look at f(0) for this equation, we find it is (-5)(-10) +14 = 64, which <em>does not match</em> f(0) = 36 for the function given in the problem statement.
The only true answer choices are B and E.
_____
The remainder theorem tells you that f(a) = the remainder from f(x)/(x -a).
An inverse function reverses the roles of inputs and outputs (of x-values and y-values).
If (2,4) is on the graph of a function, then (4,2) is on the graph of the inverse function.
If (9,7) is on the graph of the inverse, then (7,9) would be on the graph of the original function.
If (a,b) is on the graph of the function, then (b,a) is on the graph of the inverse.
Getting to your question, which of the points listed has the inverse listed up in the table?
Yes, no x values repeated
Answer:
y = 36
Step-by-step explanation:
The two angles are supplementary since they are same side exterior angles
74 + (2y+34) = 180
Combine like terms
2t+108 =180
Subtract 108 from each side
2y = 180-108
2y = 72
Divide by 2
2y/2 = 72/2
y =36
Answer:
9x-27
Step-by-step explanation:
x(9)-3(9)--->distributive property