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AURORKA [14]
3 years ago
7

Which of the following equations demonstrate that the set of polynomials is not closed under the certain operations?

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0

Answer:

D. Division: (x² - 5x + 3) ÷ (x-5) = x + 3/(x - 5)

Step-by-step explanation:

Polynomials are closed under subtraction and multiplication because any subtraction or multiplication of polynomials gives as result another polynomial.

As can be seen in option D, polynomials aren't closed under division because not every division between polynomials gives as result another polynomial.

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What is the domain and range of <br> f(x)=2x^2+6x+2
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As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

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Keisha the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the
gregori [183]

Answer:

Plan A last 0.75 hours or 45 minutes.

Plan B last 1.5 hours or 90 minutes.

Step-by-step explanation:

Let a be the number of hours that the plan A last, an b the number of hours of plan B. Then for the Wednesday you have:

2a+3b=6

And for the Thursday is:

6a+5b=12

Multiply the equation of Wednesday by -3:

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Using the method of addition using this last equation and the equation of Thursday

-6a-9b=-18\\6a+5b=12\\--------\\-4b=-6\\b=\frac{-6}{-4}\\b=1.5 hours

Replacing the value of b in one of the equations

6a+5b=12\\6a+5(1.5)=12\\6a+7.5=12\\6a=12-7.5\\a=\frac{4.5}{6} \\a=0.75hours

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The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
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Answer:

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Step-by-step explanation:

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