Answer:
100$
Step-by-step explanation:
he profit from 1 popcorn=0.85$
from 200=170$
170$-70$=100
The total distance must be greater than 80. She has already ridden 18 miles. And she will continue to ride m miles per day for at least 6 more days, so:
6m+18>80
More "work"...
distance>80
distance=18+6m
6m+18>80
8/15 divided by -0.35 is B. -32/21.
We just have to write one function inside the other:
Since we have a fraction with x in the denominator, we have to remove from the domain the value of that makes null the denominator. Thus,
Furthermore, we also have to remove the value of x that annuls the denominator of g(x), because that's the first function that we use. So:
Hence, the domain is:
![D((f\circ g)(x)) = \left]-\infty,-3\right[\cup \left]-3,\dfrac{22}{3}\right[\cup\left]\dfrac{22}{3},\infty\right[](https://tex.z-dn.net/?f=D%28%28f%5Ccirc%20g%29%28x%29%29%20%3D%20%5Cleft%5D-%5Cinfty%2C-3%5Cright%5B%5Ccup%20%5Cleft%5D-3%2C%5Cdfrac%7B22%7D%7B3%7D%5Cright%5B%5Ccup%5Cleft%5D%5Cdfrac%7B22%7D%7B3%7D%2C%5Cinfty%5Cright%5B)
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
2x+9y=5
9y = - 2x + 5
y = -2x/9 + 5/9
Comparing with the slope intercept form, slope = -2/9
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (4,-9) is 9/2
To determine the intercept, we would substitute m = 9/2, x = 4 and y = -9 into y = mx + c. It becomes
- 9 = 9/2×4 + c = 18 + c
c = - 9 - 18 = - 27
The equation becomes
y = 9x/2 - 27
