Replace the f(x) with y and proceed to make x the subject:
y=1/4x-12
y+12=1/4x
To ÷1/4 on both sides, ×4 on both sides
4(y+12)=x
4y+48=x
Now swap y with x and replace the isolated x with f(x) to get the inverse function:
882 in one
And 441 in the other (ps. 882 is for 6% and 441 for 3%)
Step-by-step explanation:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
we know the perimeter is 70
70 = 6* w + 10
subtract 10 from both sides
60 = 6* w
w = 10
Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.
l = 2* 10 + 5
l = 20 +5
l = 25
the dimentions of the rectangle are 25cm x 10 cm
I took the test, it is <span>c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment.</span>
Answer:
B
Step-by-step explanation:
To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.
Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.
Now we are told to get the ratio of length of car to length of model.
This means 108:6 = 18:1