All categories

3 years ago

A system of linear inequalities can have solutions in exactly three of the quadrants

Mathematics

2 answers:

Anarel [89]3 years ago

8 0

It would be true that all three quadrants could be occupied

bogdanovich [222]3 years ago

4 0

Answer with explanation:

Consider the Inequality

x - y >0

⇒x > y

or, x -y < 0

⇒ x < y

It has solution in all the three regions.

Plotting the Inequality in x y plane and showing that the solution lies in three of the Quadrants

So, Yes , a system of linear inequalities can have solutions in exactly three of the quadrants.

You might be interested in

You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e

victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = $\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}$

mean = 15.58

the standard deviation $\sigma$ = $\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}$

the standard deviation = $\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }$

standard deviation = 9.62297

Degrees of freedom df = n-1

Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df at 4 and 80% confidence level, the critical value t from t table = 1.533

The Margin of Error M.O.E = $t \times \dfrac{\sigma}{\sqrt{n}}$

The Margin of Error M.O.E = $1.533 \times \dfrac{9.62297}{\sqrt{5}}$

The Margin of Error M.O.E = $1.533 \times 4.3035$

The Margin of Error M.O.E = 6.60

The Confidence interval = ( $\mu \pm M.O.E$ )

The Confidence interval = ( $\mu + M.O.E$ , $\mu - M.O.E$ )

The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The Confidence interval = (8.98 , 22.18)

7 0

3 years ago

One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printin

Rufina [12.5K]

He would have to print 9

7 0

3 years ago

Read 2 more answers

A charity fundraiser charges 102 dollars per plate. If there are 85 guests at the fundraiser , how much money did they earn

Naddik [55]

Answer:

8,670

Step-by-step explanation:

because if 102 dollars per plate you take 102x85 = 8,670

5 0

3 years ago

Read 2 more answers

Miguel plots points A, B, and C in the coordinate plane.

serg [7]

Answer:

part a: 5

part b: no, ABC is not an equilateral triangle

Step-by-step explanation:

part a: if you do the distance formula for points A and B, you get 5

part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length

6 0

2 years ago

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.