Answer:
Simplest form = 4<em>z </em>+ 21
Case 1: True, Case II: false and Case III: true
Step-by-step explanation:
18<em>z </em>- 7( -3 + 2z)
= 18<em>z</em> + 21 - 14z
= 18<em>z</em> -14z + 21
= 4<em>z </em>+ 21
So, in the above expression we have two terms. First term is 4z and second term is 21.
So the first case is true. As the expression has two terms.
The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.
The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.
The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change=

In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally:

Answer: The average rate of change for f(x) from x=4 to x=7 is 15.
D.
This is because the probability of getting a number greater than 2 is 4/6.
Therefore, simplifying the expression gives us the fraction 2/3.