Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is

We need to solve the above equation by finding the zeros of

The vertex form of an absolute function is

where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.

Add 3 on both sides.


Add 2 on both sides.

and 
and 
Therefore the solution of given equation are -1 and 5.
Answer:
Answer: Option C is the best expression. Step-by-step explanation: We are asked to find 18.6 by 1.2.
Step-by-step explanation:
<h3>
Answer: 54 gallons</h3>
Work Shown:
(distance)/(gallons used) = (distance)/(gallons used)
(333 miles)/(37 gallons) = (486 miles)/(x gallons)
333/37 = 486/x
333x = 37*486 .... cross multiplication
333x = 17,982
x = (17,982)/333
x = 54 gallons
You need 54 gallons to travel 486 miles.
Answer:
Step-by-step explanation:
c