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hjlf
3 years ago
14

Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c

ars are 500 miles apart, how long will it be before they pass each other? Round to the nearest tenth of an hour.
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
Set 500 to sum of distances traveled by both cars.
55t + 60t = 500  \\ 115t = 500  \\ t = (500/115) = 4.3
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Sergeeva-Olga [200]

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

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This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

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3 years ago
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wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

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We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

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Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

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Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
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