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3 years ago

What expression represents"one third of the difference between fifteen and some number"?

1 answer:

3 0

I think it is A. Because it says that 1/3 is dividing the difference of 15 and an number, furthermore "one third" mean divide by 3.

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Express the following repeating decimal as a fraction in simplest form.

Ivenika [448]

Answer:

$0.\overline{369} = \frac{41}{111}$

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

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3 years ago

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jolli1 [7]

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3 years ago

Read 2 more answers

Consider the polynomial P(x)=x⁴+3x³-28x²-36x+144. Write the equation of P in factored form.

garik1379 [7]

Answer:

P(x)=(x-2)(x-4)(x+3)(x+6)

Step-by-step explanation:

Given: P(x)=x⁴+3x³-28x²-36x+144

It is a polynomial with degree 4.

It should maximum four factor.

Hit and trial error method.

Put x = 2 into P(x)

P(2)=2⁴+3×2³-28×2²-36×2+144

P(2) = 0

So, x-2 would be factor of P(x)

Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors

$(x^4+3x^3-28x^2-36x+144)\div (x-2) = x^3+5x^2-18x-72$

$P(x)=(x-2)(x^3+5x^2-18x-72)$

Put x = 4

$P(4) = 0$

now divide $x^3+5x^2-18x-72$ by x-4

$(x^3+5x^2-18x-72)\div (x-4) = x^2+9x+18$

$P(x)=(x-2)(x-4)(x^2+9x+18)$

Now factor $x^2+9x+18$

$\Rightarrow x^2+9x+18$

$\Rightarrow (x+6)(x+3)$

Complete factor of P(x)

P(x)=(x-2)(x-4)(x+3)(x+6)

7 0

3 years ago