![\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3 \\\\\\ 0=(x+7)^2(x-7)^3\implies \begin{cases} 0=(x+7)^7\\ \qquad 0=(x+7)(x+7)\\ \qquad -7=x\\ \qquad -7=x\\ ----------\\ 0=(x-7)^3\\ \qquad 0=(x-7)(x-7)(x-7)\\ \qquad 7=x\\ \qquad 7=x\\ \qquad 7=x \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%20%3D%204%28x%20%2B%207%29%5E2%28x%20-%207%29%5E3%5Cimplies%200%20%3D%204%28x%20%2B%207%29%5E2%28x%20-%207%29%5E3%0A%5C%5C%5C%5C%5C%5C%0A0%3D%28x%2B7%29%5E2%28x-7%29%5E3%5Cimplies%20%0A%5Cbegin%7Bcases%7D%0A0%3D%28x%2B7%29%5E7%5C%5C%0A%5Cqquad%200%3D%28x%2B7%29%28x%2B7%29%5C%5C%0A%5Cqquad%20-7%3Dx%5C%5C%0A%5Cqquad%20-7%3Dx%5C%5C%0A----------%5C%5C%0A0%3D%28x-7%29%5E3%5C%5C%0A%5Cqquad%200%3D%28x-7%29%28x-7%29%28x-7%29%5C%5C%0A%5Cqquad%207%3Dx%5C%5C%0A%5Cqquad%207%3Dx%5C%5C%0A%5Cqquad%207%3Dx%0A%5Cend%7Bcases%7D)
the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
Answer:
173
Step-by-step explanation:
Answer:
0.025
Step-by-step explanation:
Answer:
The answer to the nearest tenth is 8.2
Step-by-step explanation:
In order to find the distance between any two points, you must use the distance formula. when you plug in the points into the formula you end up with 8.246, rounded to the nearest tenth would be 8.2. I hope this helps!
9514 1404 393
Answer:
$10,308.92 interest earned
Step-by-step explanation:
The account balance is given by ...
A = P(1 +r/12)^n
where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...
A = $35,000(1 +0.0972/12)^32 = $45,308.92
The interest earned is the excess of the balance over the original investment:
interest = $45,308.92 -35,000 = $10,308.92