<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:
Step-by-step explanation:
Derivatives problem! I love these!
To maximize revenue: Find where R(p) has a maximum
1. Find the derivative
-4p^2 + 2000p - 3000
= (2)(-4p) + (1)2000 - (0)3000
= -8p + 2000
2. Find where the derivative = 0
-8p + 2000 = 0
2000 = 8p
250 = p
<u>a. Price = 250</u>
3. Plug in p to your original equation
-4(250)^2 + 2000(250) - 3000
= 247,000
<u>b. Maximum revenue: $247,000</u>
Answer:9
Step-by-step explanation:
12-9=3 12-3=9 3+9=12
So C=9
Answer:
15
Step-by-step explanation:
you need to get to 35. if one bag is 5 pounds what else plus 5 is 35. so each bag is 15 pounds
