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2 years ago

|x-2| + |2x+1| ≥ 3 How to solve this inequality? HELP

1 answer:

4 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:x\ge \:0\:\\ \:\mathrm{Decimal:}&\:x\le \:-0.66666\dots \quad \mathrm{or}\quad \:x\ge \:0\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{2}{3}]\cup \:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

$\left|x-2\right|+\left|2x+1\right|\ge \:3$

$x$

$x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:0\le \:x$

$x\le \:-\frac{2}{3}\quad \mathrm{or}\quad \:x\ge \:0$

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3 years ago

Musa ships cars into Ghana, Nigeria and Benij republic from the United States of America. The import duty costs are 10%, 25% and

babunello [35]

The Benz C300 markup should be $15525. The markup price for the new Toyota Highland should be $43470

Step-by-step explanation:

For the used Benz C300

Initial price $12,000

Apply import duty for Nigeria which is 25%, which is similar to increasing the price by 25%

100% +25%=125%

12000*125/100 = $15000

Apply the 15% profit

100%+15%=115%

15000*115/100 =$17250

Apply the 10% discount, reducing the price by 10%

100%-10%=90%

17250*90/100 =$15525

The Benz C300 markup should be $15525

For the Toyota Highlander

Initial price = $30,000

Apply import duty for Nigeria for new cars, which is 40%, which is similar to increasing the car price by 40%

100%+40%=140%

30,000*140/100 =$42000

Apply the 15% profit

15%+100%=115%

115/100*42000 =$48300

Apply the 10% discount

100%-10%=90%

48300*90/100=$43470

The markup price for the new Toyota Highland should be $43470

Learn More

Percentage increase and decrease :brainly.com/question/11537235

Keywords : cars, import duty, cost, minimum profit, discount, reseller

#LearnwithBrainly

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2 years ago

IXL 7th grade math could someone please help!

KIM [24]

Answer:

supplementary angles are two angles that when add equal 180 degrees.

The supplement of an angle is 180 - n.

Step-by-step explanation:

n = 17(180 - n)

n = 3060 - 17n

n + 17n = 3060

18n = 3060

n = 3060/18

n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

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2 years ago

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How many number cards are there in a deck of cards

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3 years ago

Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of

natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

$\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33$

$34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)$

b) If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c) If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

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3 years ago