Answer:
Step-by-step explanation:
74*5 = 370
370 - 65 - 70 -70 -80 = 85
So. you need to get 85 on your fifth test.
Answer: $284.80
look when you are trying to find the percent of a number you need to turn the percent into a decimal then multiply the decimal by the number:
1st. 40% as a decimal is 0.40 because as a fraction 40% is 40/100 so that means that 1.00 is 100 and 0.40 is 40%
2nd. Next, you do 0.40 x 712.00 = or
712.00
x 0.40
______
$284.80
Using polynomial long division, we get
3x^3+6x^2+11x
_____________
(x+2) | 3x^4-x^2+cx-2
-(3x^4+6x^3)
____________
6x^3-x^2+cx-2
- (6x^3+12x^2)
_____________
11x^2+cx-2
-(11x^2+22x)
__________
(22+c)x-2.
If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.
For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
Answer:
Option A. 
Step-by-step explanation:
Let
d -----> the number of days
C(d) -----> the total cost
we know that
The linear equation in slope intercept form is

where
m is the rate or slope of the linear function
b is the y-coordinate of the y-intercept
In this problem we have that

The slope of the linear equation is equal to the charge of $25 per day to board dogs
so

The y-intercept is the value of y when the value of x is equal to zero
In this problem the C-intercept is the total cost when the number of days (d) is equal to zero
The C-intercept is equal to the cost of the bath $12
so

substitute the values
