clutz86
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!

Sagot :

Answer:  (-1, 11)

This means x = -1 and y = 11 pair up together.

================================================

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

View image jimthompson5910
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.