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Dafna11 [192]
3 years ago
6

Rewrite the function by completing the square. f(x) = x2 – 10x + 44 + f(x) = (x+

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

f(x)=(x-5)^{2}+19

Step-by-step explanation:

we have

f(x)=x^{2}-10x+44

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-44=x^{2}-10x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-44+25=x^{2}-10x+25

f(x)-19=x^{2}-10x+25

Rewrite as perfect squares

f(x)-19=(x-5)^{2}

f(x)=(x-5)^{2}+19

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The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
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Finally, the thief leaves the nursery with 10 plants
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x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

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1 year ago
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Step-by-step explanation:

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