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snow_tiger [21]
3 years ago
15

Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more a

rrows?
Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

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Answer:  

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=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

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The a and b values are plugged into the formula below to get

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h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

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y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

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We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

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We'll compare the y values of each vertex

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If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

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