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Katena32 [7]
3 years ago
15

A printer takes 30 minutes to print a banner and a poster. I will take 50 minutes to print a banner and three posters. How long

does it take to print a banner?
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

b+p=30\\b+3p=50

We can solve for the unknown "p" by subtracting term by term in the equation set above:

b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

b+p=30\\b+10=30\\b=20

So, it takes 20 minutes to print a banner.

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Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.
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The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

a) 36x^2-4x+16

What is the form of perfect square polynomial?

(ax+b)^2

we solve this method by using perfect square method

add and subtract 1/9

36x^2-4x+16+\frac{1}{9}-\frac{1}{9}

factor 36

\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )

Now complete the square

\frac{143}{9}+36(x^2-\frac{1}{18})^2

Therefore this is not perfect square trinomial.

Similarly for

b) 16x^2-8x+36

Complete square is,

16(x-\frac{1}{4})^2+35

This polynomial is also not perfect square trinomial.

c) 25x^2+9x+4\\

complete square is,

25(x+\frac{9}{50})^2+\frac{319}{100}

This polynomial is not perfect square trinomial.

d)4x^2+20x+25\\

complete square is,

(2x+5)^2

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

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24

Step-by-step explanation:

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