A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).
<h3>What is the Equation of a parabola?</h3>
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.
Comparing the given equation with the equation of a parabola, we will get,
y = a(x -h)² + k
y = -4(x+3)² + 2
Hence, the vertex of the parabola will lie at (-3,2).
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Answer:
8x + 12 = 12 + 8x
0 = 0
Step-by-step explanation:
Distribute then simplify
Answer:
1 hold
2 hold
3 does not hold
4 hold
5 hold
6 hold
7 does not hold
8 does not hold
9 Does not hold
10 Hold
Step-by-step explanation:
The detailed step by step verification is as shown in the attachment
Answer:
3(n+7)-6=2n+10+n
Step-by-step explanation:
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost
dollars and each pound of jelly beans cost
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So,
--------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So,
--------------- 2
Multiplying equation 2 by -3, we get

Now, adding equations 1 and 3, we get

Now, plug in
in equation 1 and solve for
.

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.