Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = 
Given function is,
g(x) = 
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = 
g(3) = 
= 2.5 + 1
= 3.5
g(-4) = 
= -1 + 1
= 0
Average rate of change = 
= 
= 
Therefore, Option B will be the answer.
Answer:
A=7.5
Step-by-step explanation:
A=a+b
2h=1+2
2·5=7.5
Answer:
<em>The measure of the angles is 45° and 135°</em>
Step-by-step explanation:
When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.
Let's call x and y the two required angles. Knowing they form a linear pair:
x+y=180
We also know one angle is 1/3 of the other angle, thus:
x=y/3
Or, equivalently:
3x=y
Substituting y into the first equation:
x+3x=180
Simplifying:
4x=180
Solving:
x=180/4=45
The other angle is:
y=3x=3\cdot 45=135
Thus the measure of the angles is 45° and 135°
Answer:
8.9x+1.66
Step-by-step explanation:
Combine like terms:
5.3x+3.6x+9.8-8.14
Simplify.
8.9x+1.66