y=x^2 + x - 2
x + y = 1
Replace y in the second equation:
x + x^2 + x -2 = 1
Simplify:
x^2 + 2x -2 = 1
Subtract 1 from both sides:
x^2 + 2x -3 = 0
Factor:
(x-1) (x+3) = 0
Solve for both x's:
x = 1 and x = -3
Now replace x in the second equation and solve for y using both x values:
1 + y = 1, y = 0
-3 + y = 1, y = 4
Now you have (1,0) and (-3,4) as solutions for (x,y)
XY = x times y:
1 x 0 = 0
-3 x 4 = -12
The answer would be -12
<span>Proportions happen because two events or scenarios are related or associated with one another </span>
Answer:
Line "L" has the slope of 1 and line "K" has the slope of 2.
In order to graph a line with the slope of 
think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)
Step-by-step explanation:
A slope of "1" is simply 
so you rise up one and move to the right once. This clearly demonstrated on line "L".
A slope of "2" is 
so you rise up two and move to the right once, as is demonstrated on line "K".
For the 2nd question, line "A" will have a slope of therefore it will move up once and then to the side three times. It will look like the image attached to this answer.
I hope this helped! Feel free to ask questions if needed!
Based on the information given, it should be noted that the mean and standard deviation of Y will be 0.4899 and 0.699 respectively.
<h3>Calculating the mean.</h3>
Based on the information given, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
= (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
= 0 + 0.25 + 0.25
= 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
= ✓0.4899
= 0.699
Learn more about mean on:
brainly.com/question/19243813
