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mixer [17]
2 years ago
14

Annabel and Riley were given a homework packet of 120 math questions to finish over the summer.

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Step-by-step explanation:

the answer is 25%

hope it helps!

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URGENT!!! 50 POINTS!!! URGENT!!!!!!! Consider the polynomial functions P (x) and Q (x)​ , where neither polynomial is a constant
Nutka1998 [239]

Answer:

Always

Always

Sometimes

Never

Step-by-step explanation:

P(X) + Q(X)

Sum of two polynomials is always a polynomial.

For example, Let P(x) = 3x² and Q(x) = 5x

$ \implies P(x) + Q(x) = 3x² + 5x

This is again a polynomial.

In other words, we can say that Polynomial is closed under addition.

P(x) . Q(x)

Product of two polynomials is again a polynomial.

Let P(x) = 2x and Q(x) = a constant function, 5

Then the product = 10x, is again a polynomial.

Multiplication of two polynomials is closed.

P(x) / Q(x)

This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.

But let's say P(x) = 5x² and Q(x) = x.

$ \frac{P(x)}{Q(x)} $ = $ \frac{5x^2}{x} $ = 5x, a polynomial.

So, $ \frac{P(x)}{Q(x)} $ is a polynomial sometimes.

We can, say Division is not always closed.

1/Q(x)

This could never be a polynomial. This is not even in the form of a polynomial. So, $ \frac{1}{Q(x)} $ is never a polynomial.

Hence, the answer.

7 0
2 years ago
Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain
jasenka [17]

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box

7 0
3 years ago
What is the value of x?
romanna [79]

Answer:

x=30

Step-by-step explanation:

7 0
3 years ago
Graph the line y=-5/3x-1
Pepsi [2]

Answer:

Put a dot on -1. Go down 5 and then 3 to the right. You will have two points which is enough to make a line. Grab a ruler and connect both of them. You have the line y=-5/3x-1 graphed


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
What is the remainder of (3-6×2-9xl+3)?
Naddik [55]
9lx−6x^2+6
It not 91 it the letter L just lower case
3 0
3 years ago
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