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Answer:

Step-by-step explanation:
Given

Required
Find 
First, we calculate the inverse function

Express f(x) as y

Swap the positions of x and y

Solve for y: Add 4 to both sides


Square both sides

Divide both sides by 2

Express y as an inverse function

Next, solve for: 
Substitute 6 for x




x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
Answer:
In ∆ABC AND ∆DEF
ABC=DEF...........each 90°
SIDE AB =SIDE ED...........given
SIDE BC =SIDE EF............B-F-C and E-C-F
∆ABC =∆DEF....................by SAS test
Answer:
Graph D.
Step-by-step explanation:
The line goes through the origin, and therefore shows direct variation.