In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1

Respuesta :

Answer:

  • A. 0.8

Step-by-step explanation:

An easy way is to substitute values into both equations and compare:

A. x = 0.8

  • f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88
  • g(x) = 5(0.8) - 1 = 3

B. x = 0.9

  • f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92
  • g(x) = 5(0.9) - 1 = 3.5

C. x = 1.9

  • f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52
  • g(x) = 5(1.9) - 1 = 8.5

D. x = 1.1

  • f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12
  • g(x) = 5(1.1) - 1 = 4.5

As we see the most accurate one is A

Let's graph both function(Attached)

Let's round 0.775

[tex]\\ \sf\longmapsto 0.775[/tex]

[tex]\\ \sf\longmapsto 0.77[/tex]

[tex]\\ \sf\longmapsto 0.8[/tex]

Option A is correct

Ver imagen Аноним