Answer:
x ≤ 13
Step-by-step explanation:
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<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:
$2125
Step-by-step explanation:
Given
P=$8,500
t=5
r=5%
So simple interest=8500×5×5/100
= 85×5×5
=$2125
So the interest is $2125
Answer:
2010.
Step-by-step explanation:
We have been given an exponential growth formula 
, which represents number of passengers traveling by airplane since 1990.
To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:
Take natural log of both sides:
Using property 
, we will get:
This means that in the 20th year since 1990, 900 million passengers would travel by airline.
Therefore, 900 million passengers would travel by airline in 2010.
