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2 years ago

When factored completely, the expression 3x? – 9x + 6 equivalent to is

Mathematics

1 answer:

vodka [1.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

The given quadratic expression is

3x² - 9x + 6

Dividing each term in the expression by 3 in order to simplify it further, it becomes

x² - 3x + 2 = 0

We would determine two numbers such that their sum or difference is -3x and their product is 2x².

The two numbers are - 2x and - x.

Therefore,

x² - 2x - x + 2

x(x - 2) - 1(x - 2)

(x - 1)(x - 2)

When the expression is factored completely, it is equivalent to

(x - 1)(x - 2)

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the gross earnings • group health insurance (assuming 15% of gross earnings) pension deduction (assuming 6.5% of gross earnings)

sveta [45]

Step-by-step explanation:

Calculate the gross earnings:

40*7.75 = 310.00

Health insurance deduction:

310.00*15/100 = 46.50

Pension deduction:

310.00*6.5/100 = 20.15

Total deductions:

55.00 + 15.50 + 21.25 + 46.50 + 20.15 = 158.40

Net pay:

310.00 - 158.40 = 151.60

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2 years ago

Greta has finished reading 15 pages from a 20-page magazine article. Which of these is another way to express the fraction of th

Verizon [17]

Answers: H

Work: 15/20=0.75

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3 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$

$P(20 \leq x \leq 30) =99.84\%$

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3 years ago

What do you think makes a relation a function or not a function?

never [62]

Answer:

A relation is a function if... none of the x terms repeat. The y terms don't matter.

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2 years ago

Solve using the quadratic formula. Approximate answers to the nearest tenth. Help

Pepsi [2]

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

6 0

2 years ago