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Tomtit [17]
3 years ago
12

A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches d

oes the spring stretch per ounce of additional weight?
Mathematics
1 answer:
nignag [31]3 years ago
4 0
F = k x 
<span>15 = k *10 </span>
<span>k = 1.5 </span>

<span>check: </span>
<span>24 = 1.5 x </span>
<span>x = 16 sureenough </span>

<span>so 1.5 oz/inch </span>
<span>= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz</span>
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suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
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Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

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the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

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    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

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Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

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