9514 1404 393
Answer:
- length: 29 ft
- width: 20 ft
Step-by-step explanation:
Assuming the dimensions are integer numbers of feet, you're looking for factors of 580 that have a difference of 9.
580 = 1×580 = 2×290 = 4×145 = 5×116 = 10×58 = 20×29
The last pair of factors differs by 9, so ...
the length is 29 feet; the width is 20 feet.
Answer:
A.)
Step-by-step explanation:
Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.
The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).
g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)
Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
![[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x](https://tex.z-dn.net/?f=%5Btex%5Dy%3D10%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5C%5C%5Clog%20y%3Dlog%2010%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5Clog%20y%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20.%20log10%5C%5C%5Cfrac%7Blog%20Y%7D%7Blog10%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5C%5Cfrac%7Blog%20Y%7D%7B1%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5Clog%20Y-%5Cfrac%7B2%7D%7B3%7D%3Dx)
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Now we change the variables.
F(x) and g(x) are not inverse functions.
Answer:
(x -2) (x- 8) (x+7)
Step-by-step explanation:
