<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.
Answer: 1/16
0.0625
Step-by-step explanation:
Answer:
4 /15
Step-by-step explanation:
From the number cube :
Count of Numbers greater than 4 = 16
Sample space of number cube = 20
P(number greater than 4) = 16 / 20 = 4/5
Word : ATTENTION
Count of letters in attention = 9
Count of T's in attention = 3
P(choosing T) = 3 / 9 = 1/3
P(greater than 4, then T) = 4/5 * 1/3 = 4 /15
I hope this helps
<span>372° - 360° = 12°</span>
Hey! I'll provide you the answers!
First you want to simplify the equation using cross-multiplication.

Finally, you would want to divide both sides by 15.
n = 161