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sweet [91]
3 years ago
12

after 3.5 hours, Pasha had traveled 217 miles. if she travels ata constant speed, how far will she have traveled after 4 hours?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0
Pasha travels 62 miles in an hour (217 divided by 3.5 is 62). So, 62 times 4 hours is 248. So, in 4 hours, she would have traveled 248 miles
Natasha_Volkova [10]3 years ago
4 0

Answer:

248 miles

Step-by-step explanation:

We have been given that after 3.5 hours, Pasha had traveled 217 miles.

First of all, we will find distance traveled by Pasha per hour by dividing 217 by 3.5.

\text{Pasha's driving rate}=\frac{\text{217 miles}}{\text{3.5 hours}}

\text{Pasha's driving rate}=\frac{\text{62 miles}}{\text{hour}}

Now, we will multiply 62 by 4 as:

\text{Distance covered by Pasha in 4 hours}=\frac{\text{62 miles}}{\text{hour}}\times 4\text{ hours}

\text{Distance covered by Pasha in 4 hours}=\text{62 miles}\times 4

\text{Distance covered by Pasha in 4 hours}=\text{248 miles}

Therefore, Pasha will travel 248 miles in 4 hours.

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P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
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Answer:

The polynomial is:

p(x) = -x^3 - 2x^2 + 5x + 6

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that x_1 = -3, x_2 = -1, x_3 = 2. Thus

p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)

p(x) = a(x - (-3))*(x - (-1))*(x-2)

p(x) = a(x+3)(x+1)(x-2)

p(x) = a(x^2+4x+3)(x-2)

p(x) = a(x^3+2x^2-5x-6)

Passes through the point (1,12).

This means that when x = 1, p(x) = 12. We use this to find a.

12 = a(1 + 2 - 5 - 6)

-12a = 12

a = -\frac{12}{12}

a = -1

Thus

p(x) = -(x^3+2x^2-5x-6)

p(x) = -x^3 - 2x^2 + 5x + 6

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