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Vlad [161]
3 years ago
13

A ship has 1400 people on board. There are 200 more adults than children. How many children are on the ship?

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

So,

1400 people in total. Though, subtract 200 for the amount of extra adults. This makes 1200. Divide that by two. You get 600

You need to add 200 to the 600 to get the amount of adults. The amount of adults on board is 800.

The amount of children on board is 600.

600 plus 800 equals 1400, it makes sense. :P

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
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Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

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B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

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Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

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