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zvonat [6]
3 years ago
5

Which of the following are polynomials and which are not polynomials?

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

only (2) and (4) are polynomial out of given options.

Step-by-step explanation:

Polynomial  is an expression having  variables having positive integer exponents with real constant coefficients. example 2x^2+3x+4

We are given some polynomials and we have to choose whether are polynomial or not.

Consider ,

1) x^{\frac{2}{7}}+1

Since, Polynomial does not have a fractional exponent.

So, 1) Not a polynomial.

2) -2x^3+2x+4

Since all of the variables have integer exponents that are positive this is a polynomial.

3) x^{-3}+4x

Not a polynomial because a term has a negative exponent .

4) 6x-x^3+4x^2

Since all of the variables have integer exponents that are positive this is a polynomial.

Thus, only (2) and (4) are polynomial out of given options.




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Help please I need the correct answer
patriot [66]

Answer:

Do it on standard form

Step-by-step explanation:

Doing it by standard form ensures simplifying

3 0
4 years ago
Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
Aneli [31]
\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
5 0
4 years ago
Write 6 11/13 as an improper fraction.
hoa [83]

Answer:

89/13

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

13 × 6 = 78

Step 2

Add the answer from Step 1 to the numerator

78 + 11 = 89

Step 3

Write answer from Step 2 over the denominator

89/13

3 0
3 years ago
7 + 7 + (-1) = ?<br><br>A. 16<br>B. 10<br>C. 13<br>D. 7
saul85 [17]
7 + 7 + (-1)
7 + 7 - 1
13

Hope this helps :)
5 0
3 years ago
Read 2 more answers
What is the y-intercept of the graph of 4y = 2x + 8?<br> 4<br> 2<br> 6<br> 00<br> N
Jet001 [13]

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

Divide each side by 4

4y/4 = 2x/4 +8/4

y = 1/2x +2

The slope is 1/2 and the y intercept is 2

8 0
3 years ago
Read 2 more answers
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