Which expression is the simplest form of -(4x+y)+2(x-3y)?

PLEASE I NEED THIS TODAY!!!

Troyanec [42]

Answer:

Option D $y\leq -3x-3$ and $y$

Step-by-step explanation:

step 1

<u>Find the equation of the inequality A</u>

we know that

The solution of the inequality A (dashed line) is the shaded area below the dashed line

The equation of the dashed line is $y=-\frac{1}{2}x+2$

therefore

The equation of the inequality A is $y$

step 2

<u>Find the equation of the inequality B</u>

we know that

The solution of the inequality B (solid line) is the shaded area below the solid line

The equation of the solid line is $y=-3x-3$

therefore

The equation of the inequality B is $y\leq -3x-3$

The system of linear inequalities is

$y\leq -3x-3$ and $y$

6 0

3 years ago

According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World

Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $\mu = 441.84$ .

The standard deviation is of $\sigma = 120$ .

The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

$Z = \frac{X - \mu}{\sigma}$

$0.84 = \frac{X - 441.84}{120}$

$X - 441.84 = 0.84(120)$

$X = 542.64$

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

Please answer this (:

svetlana [45]

Since we know that there is a 1 in 12 chance that the spinners will land on "4" and "C" and we know the total amount of spins is 240, we can find one twelfth of 240. To do so, you multiply 240 by 1/12 which is the same as 240/12. This can be simplified to 20 through division. Therefore, the answer is 20 times.

I hope this helps.<span />

7 0

3 years ago

An electric current, I, in amps, is given by I=cos(wt)+√8sin(wt), where w≠0 is a constant. What are the maximum and minimum valu

exis [7]

Take the derivative with respect to t
$- w \sin(wt) + \sqrt{8} w cos(wt)$
the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero
$0 = -w \sin(wt) + \sqrt{8} w cos(wt)$
divide by w
$0 =- \sin(wt) + \sqrt{8} cos(wt)$
we add sin(wt) to both sides

$\sin(wt)= \sqrt{8} cos(wt)$
divide both sides by cos(wt)
$\frac{sin(wt)}{cos(wt)}= \sqrt{8} \\ \\ arctan(tan(wt))=arctan( \sqrt{8} ) \\ \\ wt=arctan(2 \sqrt{2)}$ OR $\\$ $wt=arctan( { \frac{1}{ \sqrt{2} } )$
(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

$I=cos(2n \pi -2arctan( \sqrt{2} ))$
since 2npi is just the period of cos
$cos(2arctan( \sqrt{2} ))= \frac{-1}{3} 
$
substituting our second soultion we get
$I=cos(2n \pi +2arctan( \frac{1}{ \sqrt{2} } ))$
since 2npi is the period
$I=cos(2arctan( \frac{1}{ \sqrt{2}} ))= \frac{1}{3}$
so the maximum value = $\frac{1}{3}$
minimum value = $- \frac{1}{3}$

4 0

3 years ago

Which angles are supplementary angles?

7nadin3 [17]

Answer:

KJM and KJH

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees

7 0

3 years ago

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