PLEASE ANSWER ASAP THXXX the graph shows the solution to which system of equations
A) y=x+2 and y= -x - 4
B) y= -3x +7 and y= x+12
C) y=2x - 3 and y= -2x + 1
D) y= -x + 4 and y = -2x +5

9514 1404 393

  C) y=2x - 3 and y= -2x + 1

Step-by-step explanation:

Sometimes a simple check can find the right answer with almost no work.

The y-intercepts of the lines are +1 (green line) and -3 (red line). The only offered choice with those y-intercepts is choice C.

__

The slope-intercept form of the equation of a line is ...

  y = mx + b

where m is the slope, and b is the y-intercept (where the line crosses the y-axis).

All of the answer choices have the equations written in this form. All have different y-intercepts, so the correct pair is not hard to find.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

a

step-by-step explanation: