Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
Step-by-step explanation:
Given
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
-- i.e. the perimeter of the border material
Solve for y
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
Substitute
We want to find the axis of symmetry of the function;
STEP 1:
The equation for the axis of symmetry of a line is given as;
From the equation, a = 6 and b = -3, so,
STEP 2: Insert the values of a and b into the equation to obtain;
CONCLUSION:
Therefore, we see that the axis of symmetry is the line;