Ratio: 3/4 : 1/2
We can also write this as:
3/4 / 1/2
Flip the 2nd fraction and multiply:
3/4 * 2/1
Multiply the numerators and denominators together:
6/4
Simplify:
3/2
Answer:
Step-by-step In presidential election years. (Every 4 years)
Answer:
2x^2 + 6.
Step-by-step explanation:
Replace the x in f(x) by g(x):
f(g(x)) = 2(x^2 + 3)
= 2x^2 + 6.
<h3>
Answer: n = -11</h3>
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Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.