this one would also be the third option
Answer:
250
Step-by-step explanation:
250 ÷ 400 = 0.625 = 0.625 × 100/100 = (0.625 × 100)/100 = 62.5/100 = 62.5% Answer: Percentage of 62.5% of what number = 250?
Answer:
42
Step-by-step explanation:
To determine a + a² just substitute the value of a.
Given a = 6.
Therefore, a + a² would become 6 + 6² = 6 + 36
= 42
∴ a + a² = 42
formula for the slope of a line, problem solving by solving simpler parts first, and cartesian plane for graphing.
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
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Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).