As we travel from (-2, p) to (2, 2p+1), x increases by 4 and y increases by p+1. Note that -2 + 4 = 2 (which is correct), and that p + (p+1) = 2p+1 (which is also correct).
p+1
Thus, the slope of this line is m = rise / run = -------- = 9
4
Then p + 1 = 36, and p = 35.
2x + 3y = 1,470
To solve using the slope intercept method, we need to solve for y.
First, subtract 2x from each side.
3y = -2x +1470
The, we need to divide both sides of the equation by by 3 to solve for y
y = -2/3 x + 490.
We know the y intercept is 470, which means on the y axis we place at point at positive 490. The slope is -2/3. We go down 2 units and over to the right 3 units and place a point. We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials. We cannot have negative y, because y is the number of specials sold.
Answer:
13.9
Step-by-step explanation:
Use Pythagorean Theorem:
Both of the lengths given are the legs,
13.5^2 + 3.2^2 = c^2
182.25 + 10.24 = c^2
192.49 = c^2
13.87 = c
Answer:
Infinitely many solutions.
Step-by-step explanation:
12(x+3)=4(2x+9)+4x
12x+36=8x+36+4x
12x+36=12x+36
infinitely many solutions
Answer:
Step-by-step explanation:
1 gallon = 16 cups (STANDARD)
For 10 servings:
10 servings = 2 cups of water
10 servings = 2 / 16 gallons
10 servings = 0.125 gallons
<u>For 320 servings:</u>
10 servings = 0.125 gallons
Multiply both sides by 32
10 * 32 servings = 0.125 * 32 gallons
320 servings = 4 gallons
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
