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.
Is it? I would say it is not.
Answer: 3
1/4 of an hour is equal to 15 minutes
15 / 5 = 3 - five minute segments
hey friend your answer is
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Answer:
2(2n² + 2n) + 1
Step-by-step explanation:
(2n + 1)² can also written as
(2n + 1) × (2n + 1)
= 4n² + 2n + 2n + 1
= 4n² + 4n + 1
= 2(2n² + 2n) + 1
= an odd
Hence Proved!
<u>-TheUnknownScientist</u><u> 72</u>
