As it is one-to-one function,<span> f −1(12) = 1</span>
Answer:
x = 4
Step-by-step explanation:
Given that the triangle is equilateral then the measure of each angle is 60°
Equate 9x + 24 to 60 and solve for x
9x + 24 = 60 ( subtract 24 from each side )
9x = 36 ( divide both sides by 9 )
x = 4
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
Answer:
Area of the resulting rectangle = 23.375 inch²
Step-by-step explanation:
After 1 fold width or length reduces to half.
Area = Length x width
So after 1 fold area will reduce to half.
So we have
Initial area = 8.5 x 11 = 93.5 inch²
Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is
Number of folds = 2
Area after 2 folds = 23.375 inch²
Area of the resulting rectangle = 23.375 inch²
