5 x 3 x 7 = 105
Hope I helped you
Answer: it's A
Step-by-step explanation:
since the cost for hiring a plumber for three hours costs $120 so in graph A the graph has more likely stopped at $120 on the y axis which can be said as the cost axis too. I'm pretty sure the answer is A!
Find the inverse of
![y = \left( \dfrac 1 5 \right)^x](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cleft%28%20%5Cdfrac%201%205%20%5Cright%29%5Ex%20)
For the inverse we swap x and y and solve for y.
![x = \left( \dfrac 1 5 \right)^y](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cleft%28%20%5Cdfrac%201%205%20%5Cright%29%5Ey%20)
Taking logs base 1/5
![\log_{1/5} x = y](https://tex.z-dn.net/?f=%20%5Clog_%7B1%2F5%7D%20x%20%3D%20y)
![f^{-1}(x) = \log_{1/5} x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Clog_%7B1%2F5%7D%20x)
Answer: Second Choice
Note: There's more simplification to do but we'll stop here.
Answer:
4 minutes left
Step-by-step explanation:
20 - 16 = 4
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:
![\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%5C%3Abetween%5C%3Atwo%5C%3Apoints%7D%3A%5Cquad%20%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%282%2C%5C%3A1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%283%2C%5C%3A5%5Cright%29)
![m=\frac{5-1}{3-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5-1%7D%7B3-2%7D)
![m=4](https://tex.z-dn.net/?f=m%3D4)
As the slope-intercept form of the line is
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.
![1=\left(4\right)2+b](https://tex.z-dn.net/?f=1%3D%5Cleft%284%5Cright%292%2Bb)
![8+b=1](https://tex.z-dn.net/?f=8%2Bb%3D1)
![8+b-8=1-8](https://tex.z-dn.net/?f=8%2Bb-8%3D1-8)
![b=-7](https://tex.z-dn.net/?f=b%3D-7)
So putting
and
in the slope-intercept form of the line
![y=\left(4\right)x+\left(-7\right)](https://tex.z-dn.net/?f=y%3D%5Cleft%284%5Cright%29x%2B%5Cleft%28-7%5Cright%29)
![y=4x-7](https://tex.z-dn.net/?f=y%3D4x-7)
Therefore, the equation for the linear function will be:
![y=4x-7](https://tex.z-dn.net/?f=y%3D4x-7)