1) The two lines are <em>perpendicular</em>. (Correct choice: True)
2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
<h3>How to analyze and interpret linear functions</h3>
Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:
Exercise 1
If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:
m · m' = - 1
[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]
(- 1 / 1) · (1 / 1)
- 1
The two lines are <em>perpendicular</em>. (Correct choice: True)
Exercise 2
In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:
m = ($ 10 - $ 0) / (1 h - 0 h)
m = $ 10 per hour
The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)
To learn more on linear functions: brainly.com/question/21107621
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Area= 5(-4-(-1)) + 5(-1-(-1))+1(-1(-4))/2 = 6.00
Answer:
False
Step-by-step explanation:
for a rational number expressed as (A / B) where A & B are integers
if the numerator (A) is zero, then (A/B) is simplify zero
i.e (A / B) = (0 / B) = 0
however if the denominator (B) is zero, then by definition any value divided by zero is undefined.
(A / B) = (A / 0) = {undefined}
Answer: 8 hours
Step-by-step explanation:
The pay is for 2 weeks which means that she worked for 80 hours.
At 80 hours, the regular income she should make is:
= 80 * 13.15
= $1,052
The total she made from overtime is therefore:
= 1,209.84 - 1,052
= $157.84
When she works overtime, she gets paid at a rate of a time and half. This means she gets:
= 13.15 * 1.5
= $19.73
The hours of overtime she worked is therefore:
= 157.84/19.73
= 8 hours
