Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and (1, 0) (–2, 0) and (1, 0) (0, –2) and (0, 1)

the second choice: (0, - 2) and (1, 0).

Explanation:

1) The solution of a graphed system of equations is the points of intersection of the equations.

2) Hence, this method requires to graph each function in one Cartesian coordinate system.

3) To graph the function y = x² + x  - 2, you can follow these steps

       y = (x² + x)  - 2

       y + 1/4 =  (x² + x + 1/4)  - 2

        y + 1/4 = (x + 1/2)²  - 2

        y = (x + 1/2)²  - 2 - 1/4

        y = (x + 1/2)² - 9/4

        Compare with the vertex form y = (x + h)² + k, where the coordinates of the vertex are (h,k). Therefore, the vertex is (1/2, - 9/4).

4) To graph the function y = 2x - 2, you can follow these steps:

The tables show that these points are common to the two functions: (0, - 2) and (1,0).

The graphs are shown in the figure attached.

You can see that the parabola (blue curve) and the line (purple line) intercept each other at those two points ( 0, - 2) and (1,0).

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)