9514 1404 393
Answer:
(A) -7
Step-by-step explanation:
The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.
x^2 +2 = 6x +k . . . . . must be true at x=3
3^2 +2 = 6(3) +k . . . . substitute 3 for x
9 +2 -18 = k . . . . . . . . subtract 18
k = -7 . . . . . . . simplify
Answer:
C y = 1/3 x - 1
Step-by-step explanation:
The y-intercept is -1, so b = -1.
The slope is run/rise = 1/3
Equation:
y = 1/3 x - 1
Answer:
D) ![(\sqrt[4]{2x -8} )^4 = (-\sqrt[4]{2x + 8} )^4](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B2x%20-8%7D%20%29%5E4%20%3D%20%28-%5Csqrt%5B4%5D%7B2x%20%2B%208%7D%20%29%5E4)
Step-by-step explanation:
The given equation is ![\sqrt[4]{2x - 8} + \sqrt[4]{2x + 8 } = 0](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2x%20-%208%7D%20%20%2B%20%5Csqrt%5B4%5D%7B2x%20%2B%208%20%7D%20%3D%200)
Before, solve this equation, we have to get rid off the radical sign.
So we move the second term on the other side.
![\sqrt[4]{2x-8} = -\sqrt[4]{2x + 8}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2x-8%7D%20%3D%20-%5Csqrt%5B4%5D%7B2x%20%2B%208%7D)
Since we have to radical of 4, we need to raise the power to 4 on both sides
![(\sqrt[4]{2x - 8)} )^4 = (-\sqrt[4]{2x + 8} )^4\\](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B2x%20-%208%29%7D%20%29%5E4%20%3D%20%28-%5Csqrt%5B4%5D%7B2x%20%2B%208%7D%20%29%5E4%5C%5C)
Thank you.
A<span>t the end of the month, Ira's balance would be C) -$40.25.</span>
His starting balance is $300. But since he withdraw $565.25 ($450.00 + $115.25) and made a $225.00 deposit, 300 - 565.25 + 225 = -40.25.