ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.
ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;



The y-intercept can be obtained by finding the equation of the line in the form:

We plug in the slope and the point (-4,-3) to find c.
This implies that,



Hence the y-intercept is -4.
The given line is

This is already in the slope intercept form:
The slope is

The y-intercept is c=1
Answer:
Th rule here is that every week he works 6 more hours and in those six hours he adds $54 to the original price
Step-by-step explanation:
Answer for question B:
324