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Sophie [7]
2 years ago
15

HELP HELP HELP PLEASSSEEEE!!!!!!! THIS IS MAKING MY MIND GO NUTS!

Mathematics
1 answer:
vlada-n [284]2 years ago
5 0

Answer:

2.5 hours

Step-by-step explanation:

They are 22.5 miles apart. Chase is going 6 mph and Jada is going 3 mph.

6 × 2 = 12

6 × 0.5 = 3

12 + 3 = 15 miles

3 × 2 = 6

3 × 0.5 = 1.5

6 + 1.5 = 7.5 miles

15 + 7.5 = 22.5 miles

It would take them 2.5 hours to reach each other.

Hope that helps.

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Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

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Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

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Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

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