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Andrews [41]
3 years ago
9

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:  \bigg(n+\dfrac{5}{4}\bigg)^2

<u>Step-by-step explanation:</u>

n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2

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Answer:

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Step-by-step explanation:

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=> x² + 3x - 2x - 6 = 0 or x = 0

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4 0
3 years ago
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spr
nordsb [41]

Answer:

t > 82

Step-by-step explanation:

First write what we know.

Earned $72

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The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

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400 = 4t + 72   Subtract 72 from each side.

400 - 72 = 4t + 72 - 72  

328 = 4t     Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82

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