Answer:
f of x equals 7 times one eighth to the x power
Step-by-step explanation:
Given phrase,
function f of x equals 7 times one half to the 3 times x power,
![\implies f(x) = 7(\frac{1}{2})^{3x}](https://tex.z-dn.net/?f=%5Cimplies%20f%28x%29%20%3D%207%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B3x%7D)
By the power to power property of exponent,
That is,
![(a^m)^n=a^{m.n}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bm.n%7D)
![f(x) = 7((\frac{1}{2})^3)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%207%28%28%5Cfrac%7B1%7D%7B2%7D%29%5E3%29%5Ex)
![f(x) = 7(\frac{1}{8})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%207%28%5Cfrac%7B1%7D%7B8%7D%29%5Ex)
= f of x equals 7 times one eighth to the x power
Answer:
y = (2/3)x - 1, slope-intercept form
Step-by-step explanation:
3x + 2y = - 8
2y = -3x - 8
y = (-3/2) x - 4
Slope of this line is -3/2.
For the perpendicular line slope is 2/3.
Point - slope form is
(y - y1) = m(x - x1)
Point is (3,1). Slope m = 2/3.
y - 1 = (2/3)*(x - 3)
y - 1 = (2/3)x - 2
y = (2/3)x - 1, slope-intercept form
Answer:y=2x+5
Step-by-step explanation:
Answer:
two million, three hundred eighty-nine thousand and nine
Step-by-step explanation:
Answer:
The host can only prepare 7 plates
Step-by-step explanation:
7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)