Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:

for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Answer:
Step-by-step explanation: If the square is 30 ft on one side the other side must be too. So 30x30 = 900. Now, we know the rectangle must also be 900 in area. So, the width must be 10feet and the length must be 90ft because 10x90 is also 900. How I got the length? I did 10x2+70.
Answer:
3 7/8
Step-by-step explanation:
Answer:
<h2>11 units</h2>
Step-by-step explanation:
Method 1:
The formula of a distance between two points:

We have the points (7, 2) and (-4, 2). Substitute:

Method 2:
Look at the picture. Mark points in the coordinate system.
Read the length of the segment.
ANSWER

EXPLANATION
The given polynomials are:

and

We want to subtract these two polynomials.

Expand the right hand side to obtain:

Group the similar terms:

Combine the similar terms to get:
