Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answers
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
Find out more on Inequality at: brainly.com/question/24372553
Related Questions
Organize the lengths below from shortest to longest.
28 dm
629,000 mm
1.2 km
30,277 cm
Answers
Answer:
30,277cm, 629,000mm, 28dm, 1.2km
Step-by-step explanation:
ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank
Answers
Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Answer:
1 day, 10^0
Step-by-step explanation:
PLATO correct
Which one can it , it be correct I’ll give brainlist
Answers
Answer:
i can't see the number clearly
Help, I have to turn this in tomorrow I need to know if this is right.
Answers
Answer:
yes, that's correct!
Step-by-step explanation:
3x-8<-2x+22
Show it with steps please.
Answers
Answer:
x < 6
Step-by-step explanation:
1. 3x+2x = 5x
2. 5x - 8 < 22
3. 22+ 8 =30
4. 5x < 30
5. 30/5 = 6
6. x < 6
Step-by-step explanation:
3x-8<-2x+22
3x+2x< 22+8
5x<30
Divide both sides by 5
x=30
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?
Answers
Answer:
cost of each bottle of juice is $0.77
Step-by-step explanation:
Let the cost of 1 bottle be $x
multiplying both side by 3
then cost of 3 bottle will be 3*$x = $3x
given that
total cost of 3 bottles = $2.31
thus
3x = 2.31
dividing both side by 3
x = 2.31/3 = 0.77
Thus, cost of each bottle of juice is $0.77
Answer:
$0.77 for each bottle of juice
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
So,
2.31/3 = 0.77
Thus, $0.77 for each bottle of juice
-TheUnknownScientist
In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5?
Answers
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
Need help thank you very
Answers
Answer:
a)4/3
b)9/20 or 0.45
c)96
Step-by-step explanation:
a) j=3
72=20j+9p
72=20(3)+9p
72=60+9p
-9p=60-72
-9p=-12
p=-12/-9
p=4/3
b) m =1/2
20k-5=8m
20k-5=8(1/2)
20k-5=4
20k=4+5
20k=9
k=9/20 or 0.45
c) k=18
p+1/3k-20=82
p+1/3(18)-20=82
p+6-20=82
p=82+20-6
p=96
idk if this is right but I tried my best heh-
a. p=4/3
b. k=9/20
c. p=96
Anybody know the answer
Answers
Answer:
8
Step-by-step explanation:
pytherogream triple or smth
17,15,8
225+64=289
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet how many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need
Answers
Given :
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet.[tex]N= 21\times 2[/tex]
To Find :
How many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need.
Solution :
Total number of pieces of wood Jessica needs is :
[tex]n = \dfrac{233}{11}\\\\n = 21.18[/tex]
Since number of pieces cannot be negative.
So, n = 21
It is given that Samuel needs twice as many feet as Jessica need.
So,
N = 21 × 2 = 42
Therefore, Samuel needs 42 pieces of wood.
7th grade math help me please :)))
Answers
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = [tex]\frac{3760}{7916}[/tex]
B = [tex]\frac{2301}{7916}[/tex]
C = [tex]\frac{1855}{7916}[/tex]
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets [tex]\frac{3760}{7916} \cdot 600 \approx 284.99[/tex].
Mrs. Baca's class gets [tex]\frac{2301}{7916} \cdot 600 \approx 174.41[/tex].
And Mr. Canyon's class gets [tex]\frac{1855}{7916} \cdot 600 \approx 140.60[/tex].
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
The graph shows the number of Calories burned running. How many Calories do you burn per minute?
Answers
Two containers are mathematically similar. Their volumes are 54cm³ and 128cm³. The height of the smaller container is 4.5cm. Calculate the height of the larger container.
Answers
Answer:
the height of the larger container is 6 cm
Step-by-step explanation:
The computation of the height of the large container is shown below:
In the case when the factor of linear scale for two solid be k
So the factor of volume scale be k^3
Now the volume scale factor is
= 128 ÷ 54
= 64 ÷ 27
= (4 ÷ 3)^3
Now the height of the large container is
= 4.5 cm × 4 ÷ 3
= 6 cm
hence, the height of the larger container is 6 cm
What is the equation of the line shown in the graph below
Answers
Answer: y=-2x+2
Convert the decimal 0.75 to a percent.
Answers
Answer:
75%
Step-by-step explanation:
What is (-i)16?
A. i
O B. 1
O C. -;
O D. -1
Answers
Find the equation of the line.
Use exact numbers.
y =
x+
Answers
Answer: y= 2/3x+4
Step-by-step explanation:
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
Answers
Answer:
solution is (-2, 2) so x-coordinate of solution is -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, we have to write down both equations.
y = x + 4
3y = -2x + 2
Now we already have an equation that we can plug into the other equation.
= 3(x + 4) = -2x + 2
= 3x + 12 = -2x + 2
= 5x + 12 = 2
= 5x = -10
x = -2
Now we know that x = -2, and the question asks for the x-coordinate, which is -2.
Help Please! Im taking a math exam today!
Answers
Answer:
12²
Step-by-step explanation:
12 is the base
2 is the exponent
12 squared or 12 times 12 equals 144
Answer:
144 can be divided by 12
so 12 *12 =144
therefore 144 can be written as [tex]12^{2}[/tex]
Step-by-step explanation:
Use the distributive property to multiply (2 w + 7)(2 w - 7).
Answers
Answer:
[tex]4w^{2} -49[/tex]
Step-by-step explanation:
Expand (2w+7)(2w−7)
2w(2w-7)+7(2w-7)
2w(2w)+2w*-7+7(2w-7)
2w(2w)+2w*-7+7(2w)+7*-7
what s the answer giving brainliest hehe
Answers
Answer: B.
Step-by-step explanation: B is the only option that provides the division symbol.
hi, pls help me! :((
Answers
Answer:
the y-intercept is (0,4) because it's the point that's sitting on the y-axis (the one going up and down)
Step-by-step explanation:
In 2010, Carlos purchased a car whose value y, after x years is given by y = 6,750(0.82) What is the correct interpretation of 0.82 in this equation?
0
А
There will be an 18% decrease in y annually.
B
There will be an 82% decrease in y annually.
С
There will be an 18% increase in y annually.
D
There will be an 82% increase in y annually.
Answers
Answer: the correct answer is a.
Step-by-step explanation:
A swimmer dove below the surface of the ocean. After 2 minutes, she was 12 meters below the surface. At what rate was she diving? Which equation matches?
1. -12+x=2
2. 2+x=(-12)
3. -2x=(-12)
4. 2x=(-12)
Answers
Answer:
4. 2x=(-12)
Step-by-step explanation:
x is the number of meters below the surface per minute
2x is 2 minutes
-12 is 12 meters below the surface
NEED HELP ASAP!!!! 2 QUESTIONS!!!!OFFERING BRAINIEST!!!
Answers
Answer:
(0, 8) on the first question and 4 on the second question
Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, how many different sums of money are possible
Answers
Answer:
4 different sums
Step-by-step explanation:
There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of [tex]$3+1=\boxed{4}$[/tex] .
Hope this helped! :)
The difference sum of money that should be possible is 4.
The following information should be considered:
There are two ways to form a sum i.e. either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us i.e.= 3 + 1
= 4
Learn more: brainly.com/question/16911495
a) Ava made some money babysitting last week. She
made twice that this week, but spent $5 of it on a sno-
ball. Thus, she only has $75 left from this week. How
much money did she make from babysitting last week?
Equation
Solve and answer:
Answers
Find the solution for the system of linear equations by substitution:
y = x
y = 2x − 4
Answers
Answer:
Asi takhle
..........
Simplify: 5 + 2(x + 3) - 8 + 4x +
Answers
Answer:
6x+3
Step-by-step explanation:
I
3.) Write the equation of the line that passes through (0,3) and (1.-1) in standard form.
Answers
Given:
The points are (0,3) and (1,-1).
To find:
The equation of line passes through these points.
Solution:
Standard form of a line is
[tex]Ax+By=C[/tex]
We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (0,3) and (1,-1), so the equation of the line is
[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{-4}{1}(x)[/tex]
[tex]y-3=-4x[/tex]
Adding 4x and 3 on both sides, we get
[tex]4x+y=3[/tex]
Therefore, the standard form of the line is [tex]4x+y=3[/tex].