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kykrilka [37]
3 years ago
8

What is the degree of the polynomial? 2x2 + 3x + 1

Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Answer:

  2

Step-by-step explanation:

The degree of the polynomial ...

  2x^2+3x+1

is the largest exponent of x: 2.

This polynomial has degree 2.

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3 years ago
You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
RUDIKE [14]
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
8 0
3 years ago
Rewrite 11/12 and 14/15 so that they have a common denominator
djyliett [7]
The least common denomonator is 60
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3 years ago
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What is 1 2/3 divided by 5?
Zigmanuir [339]

Answer:

the answer is 1/3

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3 years ago
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What is the common denominator of 2/4 and 7/8
Ivenika [448]

Answer:

8

Step-by-step explanation:

\dfrac 24 = \dfrac{ 2 \times 2}{4 \times 2} = \dfrac 4 8

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