Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
Looking at <span>4x3 + x2 – 8x – 2, I see immediately that x^2 can be factored out of the first 2 terms => 4x^2(x+1)
and -2 out of the last 2 terms => -2(4x+1).
Notice how the factor (4x+1) shows up twice.
We can factor this (4x+1) out, obtaining (x^2 - 2) (4x+1). These are the desired factors, found "by grouping."
</span>
100÷4=25
25×4=100
so the answers for the a,b,and c is 25%