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3 years ago

Factor the quadratic expression 3x to the 2nd power +9x +6

Mathematics

1 answer:

Naily [24]3 years ago

6 0

Answer:

3(x + 1)(x + 2)

Step-by-step explanation:

Given

3x² + 9x + 6 ← factor out 3 from each term

= 3(x² + 3x + 2) ← factor the quadratic

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 1 and + 2, since

2 × 1 = 2 and 2 + 1 = 3, thus

x² + 3x + 2 = (x + 1)(x + 2) and

3x² + 9x + 6 = 3(x + 1)(x + 2)

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3 years ago

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4 years ago

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mariarad [96]

Answer:

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Step-by-step explanation:

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3 years ago

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Snezhnost [94]

Answer:

A right triangle

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4 years ago

A data set includes 103 body temperatures of healthy adult humans for which x= 98.1 and s = 0.56.

lutik1710 [3]

Answer:

98.1, No does not contain, yes contains.

Step-by-step explanation:

Given that

sample size n =103

Sample mean = 98.1

sample std dev s = 0.56

a) the best point estimate of the mean body temperature of all healthy humans = sample mean =98.1

b) 99% confidence interval estimate of the mean body temperature of all healthy humans

We can use Z critical since sample size is large though sigma is not known

99% CI = $(98.1-\frac{0.56}{\sqrt{103} },98.1+\frac{0.56}{\sqrt{103} } )\\=(98.045, 98.155)$

This does not contain 98.6

This sample does not represent the population, i.e. may be biased sample.

c) CI of population mean

= populaiton mean + /- margin of error

=(98.545, 98.656)

Yes contains 98.6

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3 years ago