Answer:
What is the question?
Step-by-step explanation:
I'm so sorry! I would love to help you!
Answer:
Butter: 18/4 cups
Flour: 36 cups
Step-by-step explanation: I think this is right.
4 1/2 = 9/2
9/2 x 1/4 = 18/4 x 1/4 = 18/4
1 1/3 = 4/3
9/2 x 4/3 = 27/6 x 8/6 = 216/6 = 36
<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:
Since we know that each of the three triplets are the same age we can put next to n, 3.
And given that another child is 14 years old we can put that next to the "+" sign.
In total, it would equal 32, so put the 32 after the equal sign.
It should look like this:
3n + 14 = 32
But now they want us to solve for the triplet's ages, so we just solve for n;
3n + 14 = 32
-14 -14
3n = 18
/3 /3
n = 6, the triplet's ages are 6 years old each.
