Answer:
2.2.6
Step-by-step explanation:
Answer: y<1x-2
Step-by-step explanation:
Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.
First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it already indicates that the y intercept is -2 .
(0,-2)
(2,0) Use these points o the find the slope.
0- 2 = -2
-2 -0 = -2
-2/-2 = 1 The slope is one so the equation will be y = 1x - 2 But since this is not an inequality we have to change the equal to sign to an inequality sign.
Looking at the line, it is a dashed line so the inequality sign will be > or <
The painted side of the graph represents the solutions of the graph and that is all underneath the graph so the inequality will be y < 1x-2
Vertex: (-5,-2); parabola opens up;
General form of the equation for a vertical parabola opening up is:
y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:
y+2 = a(x+5)^2. We need to find the value of the coefficient a.
From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).
subst. these values into y+2 = a(x+5)^2, we get:
10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or 1 = a(169/16).
Solving for a: a = 16/169 = 0.09, or approx 16/160, or 1/10. Unfortunately, this is not close to any of the four answer choices.
I thought it best to try again, and fortunately my second try was correct:
10+2 = a(13/4)^2, or (169/16)a. Thus, 12 = a(169/16)
12
Solving for a: a = ------------- = 1.14. The answer choice closest to this is 1.
169/16
Answer A is correct.
least to greatest: -0.51, -1/2, 0.42, 11/20
greatest to least: 11/20, 0.42, -1/2, -0.51
Answer:
i dont think this is a real equation.
Step-by-step explanation:
