2x − y < 4
x + y > −1

In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.

Answers

Answer 1

The graph should visually represent the shaded regions A and B, as well as their overlap in region AB. It's important to note that without a specific scale or values, the graph may not accurately depict the exact shape and position of the shaded regions.

To graph the system of inequalities 2x - y < 4 and x + y > -1, we can start by graphing each inequality separately and then determining the overlapping region.

For the inequality 2x - y < 4:

Start by graphing the line 2x - y = 4. Choose two points on the line, such as (0, -4) and (2, 0), and connect them to draw the line.

Since the inequality is "less than" (<), shade the region below the line. Label this shaded region as A.

For the inequality x + y > -1:

Graph the line x + y = -1 using points such as (-2, 1) and (0, -1). Connect the points to draw the line.

Since the inequality is "greater than" (>), shade the region above the line. Label this shaded region as B.

Finally, identify the overlapping region of the shaded regions A and B. This region represents the solution to the system of inequalities and is labeled as AB. This region indicates the values of x and y that satisfy both inequalities simultaneously.

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Answer 2

Answer:

Step-by-step explanation:

2x − y < 4

x + y > −1

In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.


Related Questions

(c) Write down the reciprocal of 20

Answers

Answer:

1/20

Step-by-step explanation:

The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!

hello!

In order to find the reciprocal of a number, we should flop it over.

Kindly consider the formula for additional details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is:-

[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

what is 16x <20 on a number line?

Answers

[tex]x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25[/tex]

i hope it helps u :)

Question 2(3 - 3x) = -18

Answers

Answer:

x=4

Step-by-step explanation:

1. Rearrange terms

[tex]2(-3x+3)=-18[/tex]

2. Distribute

[tex]-6x+6=-18[/tex]

3. Subtract 6 from both sides of the equation

[tex]-6x+6-6=-18-6[/tex]

4. Simplify by subtracting the numbers

[tex]-6x + 6-6=-18-6[/tex]

[tex]-6x=-18-6[/tex]

[tex]-6x=-24[/tex]

5. Divide both sides of the equation by the same factor

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

6. Simplify

a) Simplify the fraction

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

[tex]x = \frac{-24}{-6}[/tex]

b) Divide the numbers

[tex]x=+4[/tex]

7. Remove the postive sign.

[tex]x=4[/tex]

X=4 hope this helps you

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?

Answers

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

What does x equal
3х – 4 = 8 + 2х

Answers

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

GIVING AWAY BRAINLIEST TO FIRST AND CORRECT ANSWER!!! Rewrite the following function in slope intercept form.

an=3+(n-1)(-6/7)

OPEN ENDED WHOEVER ANSWERS BEST GETS BRAINLIEST

Answers

Answer:

PP power

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Slope = -6/7

(1,3) and (2,15/7) are points on the line.

y-3 = -(6/7)(x-1)

y = -(6/7)x + 21/7

Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.

Answers

The answer is b it depends on the number

option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.

What is Absolute value of a number?

Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.

In other words Absolute value is the modulus of any number.

A ) False :  the absolute value of the positive number will increase with increase in positive number.

B )  False :  the absolute value of the positive number will decreases with decreases in positive number.

C)   False :  the absolute value of the negative number will increase with increase in negative number.

D)  TRUE:  the absolute value of the negative number will decreases with decreases in negative number.

Therefore, option D is true.

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Find the equivalent equation

1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45

Answers

Answer:

see below

Step-by-step explanation:

1. 4 + 4w

Take out a 4 from each term.4(1 + w)

2. 18w + 9

Take out a 9 from each term.9(2w + 1)

3. 18 + 6x

Take out a 6 from each term.6(3 + x)

4. 21x + 42

Take out a 21 from each term.21(x + 2)

5. 25x + 45

Take out a 5 from each term.5(5x + 9)

Hope this helps!

A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.

Answers

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.

How much did Daphne start with on her card?

by what amount does her card value change per game?

write an equation to represent the situation.​

Answers

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

geometry multiple choice
(will mark brainliest)

Answers

I believe it’s 2, 3 and 5 not 100% tho.

Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14

Answers

Your answer to your question might be D

Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.

Answers

Answer:

Hello your question has some missing information below is the missing information

Sample mean  and Sample standard deviation

Bass 70.99  and   2.52

Tenor 69.41   and  2.79

answer : We will reject H0

Step-by-step explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 ,   n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

Select all statements that are true.
An acute triangle can be equilateral
An obtuse triangle can have more than one obtuse angle.
An equilateral triangle is always equiangular.
A right triangle can be scalene.
An acute triangle can be sosceles
A scalene triangle can be equilateral


Answers

The true statements are as follows

An acute triangle can be equilateral .An equilateral triangle is always equiangular. A right triangle can be scalene. An acute triangle can be isosceles.

The following statements considered to be false:

An obtuse triangle can have more than one obtuse angle.A scalene triangle can be equilateral.

Therefore, the above statements are considered true.

Learn more: brainly.com/question/17429689

Please solve the question with steps.

Answers

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?

Answers

Answer: 45°

Step-by-step explanation: All the angles of a triangle have to equal 180.

95 + 40 + x = 180

135 + x = 180

180-135 = 45.

The measure of two angles would be 35 and 45

A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.

a. The normal approximation to the binomial
b. The exact binomial tables

Answers

my brain can't process this lol


A SPINNER IS DIVIDED INTO EQUAL BLACK, WHITE, RED. YELLOW, AND GREEN
SECTIONS. IF I SPIN THE SPINNER 95 TIMES ABOUT HOW MANY TIMES WOULD IT LAND ON YELLOW

Answers

Answer:

We would expect to get yellow 19 times.

Step-by-step explanation:

The probability of getting yellow is 1/5 (It is one out of five options)

To find how many times it is probable to get yellow, multiply this probability by the number of trys: (1/5)(95)=19

PLEASE HELP ILL GIVE BRAINLIEST!!!!

Which line plot displays a data set with an outlier?

(btw don't mind the one that's selected I accidentally pressed that)

Answers

The last one is correct.

Answer:

the graph selected

Step-by-step explanation:

If we look to the third graph we can see that all data are concetrated on the left part of the graph, but there is one that is on the right part, so it is an outlier

Can someone please answer these two questions

Answers

Answer:

A.

Step-by-step explanation:

if a sphere has radius of 13 centimeters what is the volume

Answers

The answer is 8788pi/3 Hope this helps! Mark brainly please!

Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.

Answers

Answer:

-12, -3/4, -0.4, 0.4, 3/4, 8

Step-by-step explanation:

Paulo has $145 in his saving account he earns $36 a week mowing lawns. How many weeks will he have to work to have over $433

Match the inequality Statement with an Equation.

Group of answer choices {select all that apply}

433 + 36 (x) > 145

36 (x) - 145 < 433

145 + 36x > 433

-145 + 36x < 433

Answers

Answer:

145 + 36x > 433

Step-by-step explanation:

36x + 145 > 433

What’s the answer and work for this? Someone please telllllllll meeee!!!!

Answers

Answer: 25

Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!

On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related

Answers

Answer:

They are a transformation

Step-by-step explanation:

Checked using desmos graphing

cesium-137 has a half-life of approximately 30 years. how much of a 40g sample would be left after 90 years?

Answers

Answer:

5g

Step-by-step explanation:

the first half life would be 20 the next, 10. and lastly 5

Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these​

Answers

I just got finished with this question I’m pretty sure it is “ is equal to”

Answer 3. Pls pls ASAP pls pls

Answers

Answer:

a) no

b) yes

c) yes

d) no

Step-by-step explanation:

A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45​% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since​ 2013

Answers

Answer:

Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since​ 2013 and is significantly different from 45%

Step-by-step explanation:

Sample size, n = 3603

x = 1697

Phat = x/n = 1697/3603 = 0.4709 =47.09%

H0 : p = 0.45

H1 : p > 0.45

The test statistic :

(phat - p) / sqrt[(p(1 - p)) /n]

(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]

0.0209 / 0.00828810932

Test statistic = 2.5217

The Pvalue :

Using the Pvalue from Test statistic calculator ; α = 0.05 ;

Pvalue at 95% confidence = 0.005839

Pvalue < α ;

Hence, we reject the Null

Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since​ 2013.

In the LEFT column: Solve for y: 5 = –7y + 8

Answers

9514 1404 393

Answer:

  y = 3/7

Step-by-step explanation:

add 7y to both sides of the equation

  7y +5 = 8

Subtract 5 from both sides of the equation

  7y = 3

Divide both sides of the equation by 7

  y = 3/7

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