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kondaur [170]
3 years ago
15

Horses age more rapidly than humans. Suppose that the “horse age” and “human age” vary directly, and suppose that a 5 year old h

orse is equivalent to a 15 year human. Find the equivalent human age for a horse who has lived 16 years.
Mathematics
1 answer:
Temka [501]3 years ago
6 0
Well, lets start with what you know. We know that 5 horse years is equal to 15 human years. If the horse is 16, 5 times 3.2 equals 16.
5 year old horse/ 15 year old human
16 year old horse/ ? human?
3.2 times 5 is 16. To find the answer, do 3.2 times 15, or 320% of 15. Three times fifteen is 45. 20% of 16 is 3.2. 45 plus 3.2 is 47.2! Did this help you?
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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

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⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

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{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

{:\implies \quad \sf D=100-108}

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{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

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Refer to the attachment for the graph as well .

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