I hope I’m not too late. Substitute x = 4y + 5y = 2
y = 2. Substitute this value into the first equation: x + -4 x 2 = -8. So the answer is (-8,2).
Answer:
First off, we look for which circles are open or closed.
We start with an open interval since the circle on the left is open and end with a closed interval since the circle on the right is closed.
Domain is all x values, Range is all y values
The graph shows the continous function going from -3 to 1 on the x axis.
According to the circles, this means our domain will be (-3,1].
Now, the range doesn't care about if its closed or not. So we can say the graph is on the y axis from -4 and 0. This means the range is -4<y<0
I used different notations for both just incase you need to represent your answer differently :)
-3<x<1 & (-3,1] . Range is [-4,0]. 0>y>-4 looks correct as-well.
y² - 4y - 2x - 4 = 0
<u> +2x +4 </u> <u>+2x + 4 </u>
y² - 4y = 2x + 4
<u> +4 </u> <u> +4 </u>
(y - 2)² = 2x + 8
<u> -8 </u> <u> -8 </u>
(y - 2)² - 8 = 2x
(y - 2)² - 4 = x
x = (y - 2)² - 4
<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>
Answer:
y = 2x - 3
Step-by-step explanation:
Slope = 2
Y-intercept = -3
