<span>Jocelyn
bought 2 sweaters for the same price.
She paid $23.56, including sales tax of $1.36 and a $5.00 discount coupon.
Problem: Find the price of 1 sweater before the tax and coupon
=> 2 sweaters = 23.56 dollars included tax and discount
=> remove the tax and discount first
=> 23.56 + 5.00 = 28.56 dollars since this is a discount, we need to add
this to the amount
=> 28.56 – 1.36 = 27.2 dollars is the
price of 2 sweaters
=> 1 sweater costs 13.6 dollars </span>
Answer:
The answer is
<h2>
![y = - \frac{6}{5} x - 8 \\](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B6%7D%7B5%7D%20x%20-%208%20%20%5C%5C%20)
</h2>
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
![y - y_1 = m(x - x_1) \\](https://tex.z-dn.net/?f=y%20-%20%20y_1%20%3D%20m%28x%20-%20%20x_1%29%20%5C%5C%20)
where
m is the slope
( x1 , y1) is the point
From the question the point is (-5,-2) and the slope is - 6/5
The equation of the line is
![y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%20%20-%20%20%5Cfrac%7B6%7D%7B5%7D%20%28x%20%2B%205%29%20%5C%5C%20y%20%2B%202%20%20%3D%20%20-%20%20%5Cfrac%7B6%7D%7B5%7D%20x%20-%206%20%5C%5C%20y%20%3D%20%20-%20%20%5Cfrac%7B6%7D%7B5%7D%20x%20-%206%20-%202)
We have the final answer as
![y = - \frac{6}{5} x - 8 \\](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B6%7D%7B5%7D%20x%20-%208%20%20%5C%5C%20)
Hope this helps you
Answer:
left 2 and 8
right 2 and 4
Step-by-step explanation:
For each equation at the top you substitute the number into x for the numbers on the left
y=2(1)^2
y=2
y=2(2)^2
y=8
y=2^1
y=2
y=2^2
y=4
(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