Mathematics , 17.02.2022 19:25

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

Step-by-step answers

Answered by a new expert

The slopes of the equations must be different:

y1= a*x + b

y2 = c*x + b

then a ≠ c

Step-by-step explanation:

A linear function is:

Y = a*x + b

now, suppose we have other linear function

H = c*x + d

Let's find the condition needed to have an intersection of these two lines, or:

a*x + b = c*x + d

(a - c)*x = d - b

Where a, c, d and b are real numbers.

You can see that the only condition is that the coefficient that multiplicates the variable (x) must be different than 0 (because if it is 0, the x vanishes and we can never solve the equation)

So we must have that the slopes of the two linear equations need to be different.

Show answers

Other questions on the subject: Mathematics

Mathematics, 10.01.2022 22:11
Three numbers are circled in the multiplication table. Use the drop-down menus to explain why the sum of two of the numbers is the third number. Click the arrows to choose an answer from each menu. One circled number equals _ . Another circled number equals _ . The sum of those numbers is the third
Answers: 0
Mathematics, 10.01.2022 22:29
Explain how you can tell 4/5 is in simplest form
Answers: 0
Mathematics, 25.03.2021 21:01
The table shows the completion times of four runners in a race. Race Times RunnerTime (seconds) Joe1212 Ellen12.09 Steve1225 Patty12.8 Which list shows the runners in order by their completion times from fastest to slowest? A. Patty, Joe, Steve, Ellen B. Ellen, Joe, Steve, Patty C. Ellen, Steve, Joe,
Answers: 0
Mathematics, 25.03.2021 21:02
Ruben buys a basketball for $25 plus an 8% tax Pablo buys a soccer ball for $30 plus an 8% tax enter the difference in the amount Ruben and Pablo paid including tax
Answers: 0

Popular questions today:

English, 24.09.2021 19:55
Mathematics, 09.02.2022 03:27
answerAnswered by an experienced expert
English, 09.02.2022 03:32