Question

Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest. ​

Answer 1

Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Given system of equations is,

f(x) = x² - 5x + 7

g(x) = 2x + 1

By equating both the functions,

f(x) = g(x)

x²- 5x + 7 = 2x + 1

x² - 5x - 2x + 7 - 1 = 0

x² - 7x + 6 = 0

x² - 6x - x + 6 = 0

x(x - 6) - 1(x - 6) = 0

(x - 1)(x - 6) = 0

x = 1, 6

For x = 1,

g(x) = 2x + 1

g(1) = 2(1) + 1

     = 3

For x = 6,

g(6) = 2(6) + 1

      = 13

Common points (solutions) of both the functions 'f' and 'g' are (1, 3) and (6, 13).  

Both the solutions lie in quadrant 1.

x-coordinate of the solution (1, 3) is x = 1.

y-coordinate of the solution (1, 3) is y = 3.

Therefore, options (2), (4) and (6) are the correct options.