Mathematics, 02.10.2019 06:30 719729

Graph the system of equations:
y=-x^2+3x-1
2y-1=x

Answers: 1

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Y = -x² + 3x - 1
x = 2y - 1

x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
- x       - x
0 = -2x² + 5x - 3
x = -(5) +/- √((5)² - 4(-2)(-3))
      2(-2)
x = -5 +/- √(25 - 24)
   -4
x = -5 +/- √(1)
-4
x = -5 +/- 1
   -4
x = -5 + 1 or x = -5 - 1
   -4       -4
x = -4     x = -6
      -4    -4
x = 1      x = 1.5

2y - 1 = x
2y - 1 = 1
   + 1 + 1
   2y = 2
      2    2
   y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
    + 1 + 1
   2y = 2.5
      2 2
   y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).

Answer from: Quest

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Graph the system of equations:
y=-x^2+3x-1
2y-1=x...