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mafiozo [28]
3 years ago
15

Which expressions are polynomials??

Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + \frac{x}{1+x})

2). A polynomial can't have a negative exponent.

  Example : (x^{-2}+y-6)

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : x^2+x^{\frac{1}{2}}-1

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

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Answer:

4 \times \frac{1}{9}

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Let's begin by listing out the information given to us:

There are four students: n = 4

Number of students to be selected: r = 2

To calculate the combination of 2 students to be chosen, we use:

\begin{gathered} ^4C_2=\frac{n!}{(n-r)!}=\frac{4!}{(4-2)!}=\frac{4!}{2!} \\ ^4C_2=\frac{4\cdot3\cdot2\cdot1}{2\cdot1}=\frac{4\cdot3}{1}=12 \\ ^4C_2=12 \end{gathered}

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1 year ago
Using Unit Rates to compare Ratios continued
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Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball 75 times for  550 yards, and Pete has 42 carries for 380 yards.

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SOLUTION:

Total yards traveled by Brandon =550\text{yards}

No. of times ball carried by Brandon =75\text{ times}

Average yards per carry for Brandon =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

                                                              =\frac{550}{75}

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No. of times ball carried by Pete =42\text{ times}

Average yards per carry for Pete =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

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Answer:

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