Answer:
See Below.
Step-by-step explanation:
We want to prove that:
We can factor the divisor:
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (<em>x</em> - <em>a</em>) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (<em>x</em> - 4) and (<em>x</em> + 3). Thus, <em>a</em> = 4 and <em>a</em> = -3.
Evaluate the polynomial for both of these factors:
And:
Since both yielded zero, the original polynomial is divisible by both (<em>x</em> - 4) and (<em>x</em> + 3) or <em>x</em>² - <em>x</em> - 12. Hence:
Answer:
23?
Step-by-step explanation:
sorry I dont get what im supposed to be anwsering
Answer:
f(g(x)) = 3x -5
h(g(x)) = x^2 -8x +17
Step-by-step explanation:
— f(g(x))
f(g(x)) = f(x -4) = 3(x -4) +7 = 3x -12 +7
f(g(x)) = 3x -5
_____
— h(g(x))
h(g(x)) = h(x -4) = (x -4)^2 +1 = x^2 -8x +16 +1
h(g(x)) = x^2 -8x +17
Answer:
30
Step-by-step explanation:
Each z-score = 1 standard deviation from the mean, so 18 + (6 x 2) = 30
The answer would be 35 items