Answer:
y = 0.05x
Step-by-step explanation:
A movie theater sends out a coupon for 95% off the price of a ticket, so the price of the ticket with the coupon is 100% - 95% = 5% of the original price.
Let
x = original price
y = price of the ticket with the coupon
Then
x - 100%
y - 5%
Write a proportion:
![\dfrac{x}{y}=\dfrac{100}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7By%7D%3D%5Cdfrac%7B100%7D%7B5%7D)
Cross multiply:
![100y=5x\\ \\y=0.05x](https://tex.z-dn.net/?f=100y%3D5x%5C%5C%20%5C%5Cy%3D0.05x)
Since the original price and final price are always greater than 0, then the graph of this equation is in the first quadrant (see attached diagram)
First you need to change the equation to slope intercept form. You would get
y = 2x - 8
This equation gives us the answers to question c and d. The y intercept is 8 and the slope is 2. Now using this information we can now graph the equation. Since the y intercept is 8 this means that the line you will draw on the graph is going to pass through the y axis at point (0,8). So put a dot 8 spots up from the center. Then from there we use the slope to find the other points. Our slope is 2, so this means that in order to get to the next point you must go up 2 and to the right 1. Once you’ve got your next point continue until you run out of space. The to fill in the line to the left of your first point you have to do the reverse. Go down 2 and to the left 1 until you run out of space. Connect the points. Now for question b notice where your line passes through the x axis (the horizontal line on the graph) and this should be 4 spaces away from the center. Since this point is to the left of the center it’s going to be negative. So your answer would be -4.
All you have to do is measure angle c and redraw it and call it d
Answer:
![7^{14}](https://tex.z-dn.net/?f=7%5E%7B14%7D)
Step-by-step explanation:
Using the rule of exponents
×
=
, then
×
=
= ![7^{14}](https://tex.z-dn.net/?f=7%5E%7B14%7D)
2/5 + (-4/5) = -2/5!
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