Answer:
B) 3x +2y >= 6
Step-by-step explanation:
Answer:
3.25,
Step-by-step explanation:
no it doesnt appear to be so. I did the math it said no
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.
Answer: 603
<u>Step-by-step explanation:</u>
Average rate of change is the slope over the given interval.
Interval [7, 9] is between x = 7 and x = 9. Use the table to see that the coordinates are (7, 1852) and (9, 3878). Then use the slope formula:
Interval [4, 6] is between x = 4 and x = 6. Use the table to see that the coordinates are (4, 358) and (6, 1178). Then use the slope formula:
Next, find the difference between the slopes above:
[7, 9] - [4, 6]
= 1013 - 410
= 603