Answer:
(3) D.
(4) A.
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (3, 11) and (x₂, y₂ ) = (6, 17) ← ordered pairs from the table
m = = = 2 → A
Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:
- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:
So, we have:
Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:
Where:
m =Rate = 9.0
So, we have:
Expand
Represent as a function
Hence, the function that models the table is:
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
brainly.com/question/23184115
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Answer:
x² + 6x + 8 = 0
Factor the equation by finding two numbers that sum up to 6 and multiply into 8:
4 + 2 = 6
4 ×2 = 8
Rewrite in factored form:
(x + 4) (x + 2) = 0
Find the roots using the Zero-Product Property:
x + 4 = 0
x = - 4
x + 2 = 0
x = -2.
Therefore, the roots of this equation are at x = -4 and -2.