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.
It’s asking you to work out the median which you have to find the middle number for.
Answer:
(x + 1)(x + 9) = 0
Step-by-step explanation:
After you subtract 16 from both sides, you get ...
x² +10x +9 = 0
When you factor this equation, it becomes ...
(x +1)(x +9) = 0
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For the zero product property to be of any use, the form of the equation must be a product that equals zero.
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<em>Comment on the other answer choice</em>
(x -1)(x -9) = 0 = x² -10x +9 . . . . . the x term is different from that in the given equation. It has the wrong sign.
Answer:
He could buy 3/8 pound of potato salad.
Step-by-step explanation:
4.25 +2.25=6.50
8-6.50=1.50
4/4=1 for 1/4 of a pound.
1/4 + 1/8 = 3/8
He can buy 3/8 of a pound of potato salad which equals 1.50.
for 8 dollars he can buy apple juice, tuna sandwich, and 3/8 pound of potato salad.
-Please mark as brainliest!-
-I hope this helps!-
-good luck!-
Answer:
16.65
Step-by-step explanation:
10% of 18.50 is 1.85, so you just subtract that.