charlenethm charlenethm
  • 02-07-2021
  • Mathematics
contestada

Find the points of intersection of the graphs involving the following pair of functions.

f(x)=2x^2 + 3x - 3 and g(x) = -x^2

Respuesta :

Numenius
Numenius Numenius
  • 07-07-2021

Answer:

The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]

Answer Link

Otras preguntas

A perfectly competitive market has? a. only one seller. b. at least a few sellers. c. many buyers and sellers. d. firms that set their own prices.
Jenny expected the school based programs to cost over four million. with that expectation, how many programs would she find in the data that meet this expectati
How did the physician come to the conclusion that the zygoma was fractured in its central portion?
SOLVE ......the system 3x+6y-12=0 x+2y=8
A mother who has been breastfeeding her infant for several weeks develops a fever x 24 hours, malaise, breast erythema, and breast tenderness. what will the pro
Explain why you as the angel investor would require more or less debt versus equity financing.
ASAP!!! HELP!!! Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope?
Activity calculate the mean of each set of numbers. a) 54,35, 27, 61, 38​
One of you relative asked you about your plans to be a prekindergarten teacher? What could you tell them about the issues in nutrition,health and safety that yo
What is the correct order of processes in the accretion of planetesimals