Which of the following is not true about the boundary line in the graph of a linear inequality in two​ variables?
A. The points on the boundary line are always solutions to the linear inequality.
B. The boundary line separates the ordered pair solutions to the inequality from the ordered pairs that are not solutions to the inequality.
C. A solid line is used when the inequality is​ non-strict ​( ≤ or ≥ ​).
D. A dashed line is used when the inequality is strict ​( < or > ​)

Answers

Answer 1

D. A dashed line is used when the inequality is strict ​( < or > ​)

A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.

The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.

When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.

So, A dashed line is used when the inequality is strict ​( < or > ​) is not true about the boundary line in the graph of a linear inequality in two​ variables

Therefore, the correct option is D.

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Related Questions

what is the value of x in the triangle

Answers

Answer:

C

Step-by-step explanation:

chase is comparing music subscription price . a 12 month with all ears cost $91.80 and a subscription with press play cost $19.35 which service cost less per month ?

Answers

Answer:

its press play

Step-by-step explanation:

Press Play Step-by-step explanation:

1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year

A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time in months.
(a) Find the time at which the population becomes extinct if p(0)=1075
Round your answer to two decimal places in months.
(b) Find the initial population Po if the population is to become extinct in 1 year.
Round your answer to the nearest integer.
Po= mice

Answers

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

[tex]\frac{dP}{dt} = 0.4p-450[/tex]

Integrating the above equation with respect to time, we get -

[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]

let us define new variable x

[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]

substituting these values in above integral equation, we get -

[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]

[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]

at t = 0, P (0) = 1075, using this condition, we get -

[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]

3 - r/8 = -9.2
solve for r and explain

Answers

Answer:

r = 97.6

Step-by-step explanation:

3 - r/8 = -9.2

24 - r = - 73.6

- r = - 73.6 - 24

- r = - 97.6

r = 97.6

Help I'll mark brainliest

Answers

I think it’s f also I like ur lights

Answer:

J

Step-by-step explanation:

Acute angles are less than 90 degrees.

Obtuse angles are more than 90 degrees.

So J is the only polygon that has angles less than 90 degrees and angles more than 90 degrees.

The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hungry at 7pm given that she has not had dinner is 0.99. Assume that there is probability 0.9 that Chloe has eaten dinner by 7pm on a given day. a) (1 pt) If Chloe is acting hungry at 7pm, find the probability that she has not had dinner yet. b) (1 pt) If Chloe is not acting hungry at 7pm, find the probability that she has already had dinner.

Answers

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Order this set of integers from greatest to least:


Answers

Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

can you answer this​

Answers

Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

x + 15 = 28
O A. x= 13
O B. x = 33
O C. x = 43
O D. x = 23

Answers

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

Please help quick!
8 + 3x = −13

Answers

Answer:

x=-7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Simplifying

-1(8 + -3x) = 13

(8 * -1 + -3x * -1) = 13

(-8 + 3x) = 13

Solving

-8 + 3x = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0

0 + 3x = 13 + 8

3x = 13 + 8

Combine like terms: 13 + 8 = 21

3x = 21

Divide each side by '3'.

x = 7

Simplifying

x = 7

Help plz plz if u do u will get 10 points

Answers

Answer:

C? Sorry if im wrong

Step-by-step explanation:

Answer:

B (10,40)

E (6,24)

Step-by-step explanation:

(2,8) is equal to (10,40) and (6,24)

WILL GIVE BRAINLEST, What is the height of the trapezoid if the Area = 77 ft²?

Answers

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D

Solid A is dilated using a scale factor of 2⁄5, resulting in Solid B. Solid B is also dilated using a scale factor of 2⁄5, resulting in Solid C. If the volume of Solid B is 72 km^3, what is the volume of Solid A and Solid C?

Answers

Answer:

28.8 and 180

Step-by-step explanation:

you just times B by 2/5 to get C and divide it by 2/5 to get A

C = (72)(2/5) = 28.8 km³

A = (72)/(2/5) = 180 km³

We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

Rich is tossing a normal quarter. He tosses the quarter 25 times and it lands on heads 5 times. If Rich tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.

Answers

Answer:

ss

Step-by-step explanation:

sss

Answer:

1/2

Step-by-step explanation:

No matter how many times you get tails or heads it will always be 50/50

Terry and Jan are in college. Terry has earned twice as many credits as Jan. How many credits do Jan & Terry have if together they earned 51 hours ?

Answers

Answer:

Jan has 17 credits and Terry has 34 credits.

Step-by-step explanation:

Set up an equation:

Assume Jan’s credits is x

Terry’s credits is 2x

They add up to 51 hours.

Equation: 2x+x=51

x= 17

Jan: 17 credits

Terry: 34 credits.

what is the opportunity cost (in civilian output) of a defense buildup that raises military spending from 4.0 to 4.3 percent of a $20 trillion economy?

Answers

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line

Answers

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

I need help what is the simplest form for the number 10 6/9?

Answers

10 2/3 yepppp ig i beed more answers

3/8x5/4 Helpppppp pls

Answers

Answer:

9/25 or .36

Step-by-step explanation:

Fill in the blanks. See picture and give answers please as quickly as possible.

Answers

Answer: Global maximum: max{-(x - 1)^2 + 4} = 4 at x = 1

Step-by-step explanation:

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9. The mean score on the SAT mathematics test was 480 and the standard deviation was 130. The distributions of both scores are approximately bell-shaped. Round the answers to at least two decimal places.

Required:
Find the z-score for an ACT score of 26.

Answers

Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

what is the value of X in the equation 6X+3+4=1/2(9+10X)

Answers

Answer:

[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]

Step-by-step explanation:

sana p mkatulong............


[tex]10 + {8}^{2} \div 2 \times {3 }^{2} [/tex]

Answers

=10+(64)/2*(9)
=10+32*9
=10+288
=298

Add 4/5 + 1/4 visually!

Answers

Answer:

1 and 1/20

Step-by-step explanation:

LCM of 5 and 4 = 20

4/5 = 16/20

1/4 = 5/20

Each edge of a Rubik's cube has a length of 5.7 centimeters. What is the volume of
the Rubik's cube?

Answers

185.193 Cm, 5.7x5.7x5.7 is the volume

The volume of the Rubik's cube is 183.51 cubic centimeters.

To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.

In this case, the length of each edge is given as 5.7 centimeters.

Substituting this value into the formula, we have:

V = (5.7 cm) ³

Calculating the volume:

V = 5.7 cm * 5.7 cm * 5.7 cm

V = 32.49 * 5.7

V = 183.51 cm ³

Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.

To know more about volume click here :

https://brainly.com/question/11168779

#SPJ2


Can someone help me please

Answers

Answer:

5n units

Step-by-step explanation:

C=2πr =2·π·2.5

What is the area of ACDE to the nearest whole number?
A) 87 cm
B) 105 cm
C)123 cm
D) 210 cm
Thanks!

Answers

Answer: its A

Step-by-step explanation:

For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

Answers

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

18 percent are longer than 6.5 feet.

This means that [tex]p = 0.18[/tex]

A random sample of 90 sea turtles

This means that [tex]n = 90[/tex]

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164

Using the knowledge about central limit theorem, we will have what the proportion will be;

For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:

[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]

See more about proportion at brainly.com/question/2548537

Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96 .If the equation is 3x​+27=96 represents this situation, what does the variable x represent?

Answers

should be 23, start by subtracting 96-27 and from there you can divide that answer by3 to get x

The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately what percentage of their scores will fall within one standard deviation of the mean

Answers

Answer:

Approximately 68% of their scores will fall within one standard deviation of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.

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