Answer:
34
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 1, 6 ], thus
f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162
f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8
average rate of change = 
= 
= 34
The roots of the quadratic equation 3y² + 3(4y² - 2) is ± √(1/7).
<h3>What is a quadratic equaton?</h3>
A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, 3y² + 3(4y² - 2).
3y² + 12y² - 2.
14y² - 2.
Let 14y² - 2 = 0.
14y² = 2.
y² = (2/14).
y = ± √(2/14) Or ± √(2/2×7) Or ± √(1/7).
learn more about quadratic equations here :
brainly.com/question/17177510
#SPJ1
Answer:
Step-by-step explanation:
The rate of change is measured by the slope of the line in this linear table.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table
m = 
= 
= ← rate of change
1.) 50 - 14 = 4x
x = 50 - 14 divided by 4 = 36/4 = 9.
x = 9
2.) 6(3x) -12 + 5x = 57
18x + 5x = 57 + 12
23x=69
x = 69 divided 23 = 3
x = 3
