Very interesting question!
Let's try to get something that would work for just 5 for now.
Any of these numbers would leave a remainder of 1 when divided by just 5:
6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, ...
Notice that they all look like 5*(something) + 1. Basically, they are all multiples of 5 plus 1.
Let's see what would work for just 8:
9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, ...
Are there any matches... AHA! It's 81. This is the lowest positive integer greater than 1 that follows the rule for both 5 and 8.
Answer:

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>!</em>
Answer:
y=-3x+7
Step-by-step explanation:
y=mx+b is the formula you are going to end up once completed.
This, by given two points:
(4,-5) (3,-2)
= Point-Slope Intercept Form
= After subtracting both from above
-3 = is your slope, decreasing.
Substitute -3 for y=mx+b
y=-3x+b
Use one of the given points (any) to find what b equals.
(4,-5)
x y
-5=-3(4)+b
-5= -12+b
7=b
Final Equation:
y=-3x+7
Answer:
Jennifer would complete the job on her own in 5 hours.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Rates
The together rate is the sum of their separates rate.
We have that:
Jennifer takes x hours to complete the job on her own, so her rate is 1/x.
Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).
The together rate is 1/4. So



Applying cross multiplication.



Quadratic equation with
. So



Since the time to complete the job has to be a positive value.
Jennifer would complete the job on her own in 5 hours.