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3 years ago

Factor the expression 12x^2 + 14x - 6. You must show your work.

Mathematics

1 answer:

KatRina [158]3 years ago

6 0

2(3x - 1)(2x + 3) Correct answer

2(6x^2 + 7x - 3)

2(6x^2 + 9x - 2x - 3)

2(3x •(2x + 3)- 2x - 3)

2(2x + 3)•(3x - 1)

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The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability t

Svetlanka [38]

Answer:

$P(X = 5) = 0.166$

Step-by-step explanation:

Given

$Mean = 4.3$

$x = 5$

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

$P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}$

Where

$\alpha$ is used to represent the mean

and

$\alpha = 4.3$

$x = 5$

$e = 2.71828$ ---- Euler's constant

So, we have:

$P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}$

$P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}$

$P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}$

$P(X = 5) = \frac{19.9469850243}{120}$

$P(X = 5) = 0.1662248752$

$P(X = 5) = 0.166$ Approximated

6 0

2 years ago

HELP PLEASE WILL GIVE BRAINLIEST

abruzzese [7]

Answer:
$1.21

Explanation:
What we know:
- $5.88=3 pounds of apples
- price went up by $0.75 per pound

First, we divide $5.88 by 3 to find out how much one pound of apples cost.

5.88/3
=1.96

Therefore, the new price of apples per pound is $1.96.

Because the old price of apples per pound was $0.75 cheaper, we subtract 0.75 from 1.96.

1.96-0.75
=1.21

Therefore, the old price of apples per pound was $1.21.

I hope this helps! Please comment if you have any questions.

7 0

3 years ago

Read 2 more answers

Evaluate : -80 - (-15) =

frosja888 [35]

Answer:

-65

Step-by-step explanation:

-80 - -15

Two minuses become plus

= -80+15

Subtract and keep the sign of the higher number

= -(80-15)

= -65

6 0

2 years ago

Read 2 more answers

A) Rearrange the equation to make w the subject. 2(1 + W) = P

insens350 [35]

Answer:

Step-by-step explanation:

$2(1 + W) = P\\Divide -both-sides-of-the-equation-by ; 2\\\frac{ 2(1 + W) }{2} = \frac{P}{2} \\1+ W = P/2\\W = \frac{P}{2} -1\\\\(b .) 2y = 10x + 6\\Re -write -in -slope-intercept-form : y= mx+b\\\frac{2y}{2} =\frac{10x}{2} +\frac{6}{2} \\y = 5x + 3\\Gradient = 5$

4 0

2 years ago

Sylvia invested 500 in an account compounded annually with an interest rate of 8%. Manuel invested 600 in an account with a comp

il63 [147K]

Answer:

Sylvia's investment would double first

Step-by-step explanation:

The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:

Sylvia investment:

Sylvia's investment would double in 9 years' time (72/8)

Manuel's investment"

Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)

From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first

8 0

2 years ago