<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:
57.75
Step-by-step explanation:
Doug did clean 1 3/4 hour.
Doug did paperwork for 2 1/3 hour
Doug did serving for 1 5/12
Add 1 3/4+ 2 1/3+1 5/12=16/12 or 5.5 hrs
In one hour Doug earns $
10.50
.
Therefore in 5.5 hour Doug earns 5.5 $ 10.50 =
$
57.75
Hence the total which Doug earned is $
57.75
The equation would be y = 25x + 50
In order to find this equation, we need to know how much the gift from her grandparents was. To do so, we have to find out how much she's saved from dog walking.
Since she saves $25 a month for 7 months, we can find the total amount as:
25*7 = 175
Then we can subtract that from the total she has saved to find the amount for the gift.
225 - 175 = 50
Finally, we put the amount per month in the equation with the gift as the y intercept to create the equation above.
A=0
With step by step you can find the awnser out
