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3 years ago

X2 + 10x – 11 = (x - 1) x2 + 12x + 11

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

Answer:

x²+12x+11=(3x+21)

Step-by-step explanation:

x²+10x–11=(x–1) (+2x)

x²+12x–11=(3x–1) (+22)

x²+12x+11=(3x+21)

Hope that's what you're looking for

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Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea

asambeis [7]

Answer:

$n\geq 23$

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

$n\geq (\frac{z\sigma}{ME})^2$

Where:

$\sigma$ is the standard deviation
$ME$ is the desired margin of error.

We substitute our given values to calculate the sample size:

$n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23$

Hence, the smallest desired sample size is 23

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3 years ago

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

masya89 [10]

We have to determine the complete factored form of the given polynomial

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Let x= -1 in the given polynomial.

So, $f(-1)= 6(-1)^3-13(-1)^2-4(-1)+15 = -6-13+4+15 = 0$

So, by factor theorem

(x+1) is a factor of the given polynomial.

So, dividing the given polynomial by (x+1), we get quotient as $6x^2-19x+15$ .

So, $6x^3-13x^2-4x+15$ = (x+1) $6x^2-19x+15$ .

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= $(x+1)[ 2x(3x-5)-3(3x-5)]$

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Option D is the correct answer.

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3 years ago

Read 2 more answers

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Monica [59]

Answer:

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Step-by-step explanation:

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Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was

slavikrds [6]

Keywords:

<em>Variables, televisions, generic version, TV brand, dimensions </em>

For this case we have two televisions, one generic version and one brand. We know that the generic version represents $\frac {2} {3}$ the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have: