Answer:
![\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}](https://tex.z-dn.net/?f=%5Ctext%7Ba%29%20%7D64%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bb%29%20%7D%5Csqrt%5B6%5D%7B64%7D%3D2%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D%5Cqquad%5Ctextbf%7Ba%20surd%7D%5C%5C%5C%5C%5Ctext%7Bd%29%20%7D%5Csqrt%5B3%5D%7B64%7D%3D4%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
Answer:
c=-32
Step-by-step explanation:
c/2=-16
c=-16*2
c=-32
