A cosine function is graphed below. Use the drop-down menus to describe the graph. The amplitude of the graph is __ . The equati
on of the midline is __ . The period of the function is __ . The function is shifted __ left. The function is shifted __ units up.
2 answers:
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Answer:
-2<x<8
see below for graph
Step-by-step explanation:
First, we need to solve the inequality.
Inequality: |x-3|<5
Split into two equations:
x-3<5
x-3>-5 (notice how the sign is flipped when we make the number negative)
let's start with x-3<5
add 3 to both sides
x<8
now
x-3>-5
add 3 to both sides
x>-2
The graph is below
the intersection is the solution.
Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)
the equation is -2<x<8
Hope this helps!
Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So, ---A
Substitute x =9 in A
LHS = RHS
Substitute x = 3.5
LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.