Step 1: Find the slope:
This gives you , but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
Now take that b-value and plug in into the slope-intercept form:
It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial
, then
. Essentially, it says that
is a factor if when you substitute
into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if
is a factor of the polynomial. Given this information, we can solve for
:
The solution is c = 3.
Each pair of sneakers cost $33.25
Step-by-step explanation:
Given,
Total spent by Mark = $68.82
Sales tax = $5.32
Coupon used = $3.00
Price without sales tax = Total spent - sales tax
Price without sales tax = 68.82 - 5.32 = $63.50
As Mark used coupon, we will add this amount.
Amount of sneakers = Price without sales tax + Coupon used
Amount of sneakers = 63.50+3.00 = $66.50
As this is price of two sneakers, we will divide it by 2;
Cost of one sneaker =
Each pair of sneakers cost $33.25
Keywords: subtraction, addition
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