Answer:
6t = -21
Step-by-step explanation:
3t-7 = 5t simplifies by subtracting 5t on both sides, then adding 7 on both sides:
3t -5t -7 +7 = 5t-5t+7
-2t = 7
t = -7/2
Then 6t = 6*-7/2 = -21
(701+y)/(3+1)<200
(701+y)/4<200
701+y<800
y<99
So the most yards they can allow in the next game is 98 yards
The first thing we must do for this case is to find the equation of the line.
![y-yo = m (x-xo) ](https://tex.z-dn.net/?f=y-yo%20%3D%20m%20%28x-xo%29%0A)
We have then:
![m = (y2 - y1) / (x2-x1) m = (-3 - 0) / (2-8) m = 1/2](https://tex.z-dn.net/?f=m%20%3D%20%28y2%20-%20y1%29%20%2F%20%28x2-x1%29%0A%0Am%20%3D%20%28-3%20-%200%29%20%2F%20%282-8%29%0A%0Am%20%3D%201%2F2)
We choose an ordered pair:
![(xo, yo) = (8, 0) ](https://tex.z-dn.net/?f=%28xo%2C%20yo%29%20%3D%20%288%2C%200%29%0A)
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
![-5 = (1/2) (- 2) - 4 -5 = -1 - 4 -5 = - 5](https://tex.z-dn.net/?f=-5%20%3D%20%281%2F2%29%20%28-%202%29%20-%204%0A%0A-5%20%3D%20-1%20-%204%0A%0A-5%20%3D%20-%205)
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Answer:
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Step-by-step explanation:
whats your question
Answer:
The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Step-by-step explanation:
Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:
365.84 x 10/100 = X
3,658.4 / 100 = X
36,584 = X
36.584 + 365.84 = 402.424
Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.