Answer:
C.) f(x) = −4x + 200
Step-by-step explanation:
Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.
In other words, the easiest way to solve this problem is to check the answers against the given data.
_____
If you want to write the equation from scratch, you need to find the slope. That is ...
(change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4
This matches only one answer, but you can go on to finish the equation by starting with point-slope form:
y -192 = -4(x -2)
y = -4x +8 +192 . . . . add 192, eliminate parentheses
y = -4x + 200 . . . . matches choice C.)
<span>Simplifying
8z + 3z = 8
Combine like terms: 8z + 3z = 11z
11z = 8
Solving
11z = 8
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Divide each side by '11'.
z = 0.7272727273
Simplifying
z = 0.7272727273</span>
Answer:
x=53/4 or 4x=53
Step-by-step explanation:
First move the variable to the left-hand side and change its sign.
6x+12-10x=-41 to 6x-10x=-41-12
Then collect the like terms
6x-10x=-41-12 to -4x=-41-12 which equals to -4x=-53
Now you divide both sides of the equation by -4
-4x=-53 to x=53 over 4 then if you want you divide which gives you x=13.25
Second way:
Kind of the same thing as the first one
Move the variable to the left-hand side and change its sign
6x+12=10x-41 to 6x=12-10x=-41
Then you collect the like terms
6x-10x=-41-12 to -4x=-41-12
Now you multiply both sides of the equation by -1
-4x=-53 to 4x=53
Answer:
A = $15,696.72
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(nt). Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.
Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:
A = $11,499(1 + 0.0052)^60, or
A = $15,696.72
The monthly payment is $15,696.72/60, or $261.61.
