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:
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.
(c) Write down the reciprocal of 20
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!
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 :)
A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?
Answer:
1/6 or 0.166666...
Step-by-step explanation:
1 out of 6, so 1/6
A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.
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.
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
if a sphere has radius of 13 centimeters what is the volume
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.
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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Can someone please answer these two questions
Answer:
A.
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
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.
Il means
* is equal to
* is parallel to
*lines
* therefore
* none of these
cesium-137 has a half-life of approximately 30 years. how much of a 40g sample would be left after 90 years?
Answer:
5g
Step-by-step explanation:
the first half life would be 20 the next, 10. and lastly 5
Question 2(3 - 3x) = -18
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]
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.
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
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
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
What does x equal
3х – 4 = 8 + 2х
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
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
On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related
Answer:
They are a transformation
Step-by-step explanation:
Checked using desmos graphing
Answer 3. Pls pls ASAP pls pls
Answer:
a) no
b) yes
c) yes
d) no
Step-by-step explanation:
Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14
Find the equivalent equation
1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45
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!
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)
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
Please solve the question with steps.
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)
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
Answer:
145 + 36x > 433
Step-by-step explanation:
36x + 145 > 433
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
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.
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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
my brain can't process this lol
geometry multiple choice
(will mark brainliest)
Hurry only 5 minutes to answer!!!!!!!!!!!!!1111
Order the specified numbers from smallest to biggest.
Answer:
-12, -3/4, -0.4, 0.4, 3/4, 8
Step-by-step explanation:
In the LEFT column: Solve for y: 5 = –7y + 8
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
What’s the answer and work for this? Someone please telllllllll meeee!!!!
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!
what is 16x <20 on a number line?
[tex]x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25[/tex]
i hope it helps u :)
If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?
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.