A school is planning for an addition in some open space next
to the current building. The existing building ends at the
origin. The graph represents the system of equations that
can be used to define the space for the addition. What is the
system of equations that matches the graph?
-
-5 -5
6 -3 -2 -1.3
y s 3x
y>-2x-1
y> 3x
ys-2x-1
oy<-3x
y 2x-1
Oy> -3x
y s 2x-1
Answers
answer:
option A y≤3x
The system of equations that matches the graph is as follows:
y ≤ 3x
y > -2x - 1
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The line y = 3x represents the boundary for the first inequality, and the line y = -2x - 1 represents the boundary for the second inequality.
The first inequality has a less than or equal to sign, the region below the line y = 3x is shaded.
The second inequality has a greater than sign, the region above the line y = -2x - 1 is shaded.
The overlapping region of the two shaded regions represents the solution to the system of inequalities, which is the region where both inequalities are true. Therefore, the solution is the triangle-shaped region that is below the line y = 3x and above the line y = -2x - 1.
The shaded region represents the solution to the system of inequalities y ≤ 3x and y > -2x - 1.
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Related Questions
BRAINLIEST WILL BE GIVEN!!! HURRY!
What is the surface area of the entire sculpture? Use 3.14 for π.
*Surface area of the entire sculpture = Surface area of the cube - Surface area of the two circles + Curved surface area of the cylinder
*Surface area of the cube = 6s² (6 x side x side)
*Surface area of the two circles = 2πr² (2 x 3.14 x radius x radius)
*Curved surface area of the cylinder =2πrh (2 x 3.14 x radius x height)
Answers
Answer:
717.75cm ^2
Step-by-step explanation:
6(10)(10)= 600
2(3.14)(2.5)(2.5)= 39.25
2(3.14)(2.5)(10)= 3.14(5)(10)= 157
600-39.25+157= 717.75
There are two groups of people, three in each, for painting a wall. The numbers in the next two sentences express the time (in hours) spent on painting. In group A, Alex 2.5, Adam 3.6, and Antimo 4.7. In group Z, Zairo 2.2, Zeno 3.2, and Zubro 4.9. Estimate the total time for group A and for group Z when all three workers in each group work together. Which group can paint the wall faster and why do you think so?
(your answer is two numbers
(two estimates) in one sentence where you will explain your reasoning)
Answers
Answer:
1. The total time taken for group A to paint the wall together is 1.12 hours
2. The total time taken for group Z to paint the wall together is 1.03 hours
3. group Z can paint the wall faster
Step-by-step explanation:
The time spent on painting are;
Group A
Alex = 2.5 hours
Adam = 3.6 hours
Antimo = 4.7 hours
1. We have for group A
Alex's paint rate = 1 wall in 2.5 hours = 1/2.5 wall/hour
Adam's paint rate = 1 wall in 3.6 hours = 1/3.6 wall/hour
Antimo's paint rate = 1 wall in 4.7 hours = 1/4.7 wall/hour
When the three workers work together, we have;
1/2.5 wall/hour + 1/3.6 wall/hour + 1/4.7 wall/hour = 3767/4230 wall/hour
Therefore, the time for the three workers of group A to paint one wall is given as follows;
[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{3767}{4230} wall/hour} = 1\tfrac{463}{3767} hours[/tex]
The total time taken for group A to paint the wall together = 1.12 hours
2. The data for group Z is as follows;
Zairo = 2.2 hours
Zeno = 3.2 hours
Zubro = 4.9 hours
We have for group Z
Zairo's paint rate = 1 wall in 2.2 hours = 1/2.2 wall/hour
Zeno's paint rate = 1 wall in 3.2 hours = 1/3.2 wall/hour
Zubro's paint rate = 1 wall in 4.9 hours = 1/4.9 wall/hour
When the three workers work together, we have;
1/2.2 wall/hour + 1/3.2 wall/hour + 1/4.9 wall/hour = 8375/8624 wall/hour
Therefore, the time for the three workers of group Z to paint one wall is given as follows;
[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{8375}{8624} wall/hour} = 1\tfrac{249}{8375} hours[/tex]
The total time taken for group Z to paint the wall together = 1.03 hours
3. Since the total time for group A to paint the wall which is 1.2 hours is more than the total time for group Z to paint the wall which is 1.03 hours, group Z can paint the wall faster.
Find the value of x in the figure.
A. 132
C. 145
B. 117
D. 128
Answers
Answer:
x= 128
Step-by-step explanation:
do 180-49=131
then 131-3=128
Which could be the entire interval over which the function, f(x), is negative?
(-8, -2)
(-8, 0)
(-infinity, -6)
(-infinity, -4)
Answers
The interval over which the function f(x) is negative is (-infinity, -4) .
Given,
The values of f(x) for corresponding x .
Here,
From the table,
x = -8 ; f(x) = -16
x = -6 ; f(x) = -8
Thus from the data given in the table it is clear that the function f(x) will be negative if we decrease the value of x .
Thus f(x) will be negative for the values which are smaller than -8 .
Now,
When
x = -4 ; f(x) = 0
x = -2 ; f(x) = 8
Thus f(x) changes its sign at x = -4.
So,
Interval in which f(x) will be negative : (-infinity, -4) .
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What positive value of x makes the following equation true: x^2 = 289? Expain
Answers
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
Is the following transformation rigid motion, dilation, or neither?
(x, y)→(2x, 2y)
Answers
Answer:
rigid motion
Step-by-step explanation:
because is a isometric transformation
9am not sure9
Write you answer in exponential form 6^-2•6^3
Answers
Answer:
6^ 1 = 6
Step-by-step explanation:
6^-2•6^3
We know that a^b * a^c = a^(b+c)
6^-2•6^3 = 6^(-2+3) = 6^ 1 = 6
What is the area of the shaded region? Round to the nearest whole
number.
Answers
Answer:
25 tomes 2 50 times 5 250
Step-by-step explanation:
Answer:
The shaded area is 475 yds²
Which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6, __________
Answers
Answer:
36h6
Step-by-step explanation:
Answer:
48h^5
Step-by-step explanation:
A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is
Answers
Answer:
y=y0e^-0.0002t
Step-by-step explanation:
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t
52.5 ft
25 ft
22 ft
18.18 ft
for the picture below
Answers
Answer:
18.1818181 Feet
Step-by-step explanation:
Divide 27.5 by 20 to establish a ratio between the length and width of the house, then multiply your new ratio by 25. Units do not matter, as long as it's not like 27.5 mm high by .05 ft wide.
A farmer plants a 16-foot row of tomatoes 13-foot row of carrots and a 21-foot row of green peppers in a triangle find the angle formed by the tomatoes and carrots
Answers
Answer:
The angle between tomatoes and carrots is 92.2°, approximately.Step-by-step explanation:
As you can observe in the image attached, the triangle formed is scalene, which means we need to use the law of cosines to find the answer.
[tex]p^{2} =c^{2} +t^{2} -2(c)(t)(cos\theta)[/tex]
Where [tex]p[/tex] is green peppers, [tex]c[/tex] is carrots, [tex]t[/tex] is tomatoes and [tex]\theta[/tex] is the angle between tomatoes and carrtos.
Replacing all given values, we have
[tex]21^{2} =13^{2} +16^{2} -2(13)(16)(cos\theta)\\441=169+256-416cos\theta\\441-169-256=-416cos\theta\\\frac{16}{-416}=cos\theta\\ \theta=cos^{-1}(\frac{1}{-26} ) \approx 92.2\°[/tex]
Therefore, the angle between tomatoes and carrots is 92.2°, approximately.
A jar contains 2 pink and 8 navy marbles. A marble is drawn at random. What is the theoretical probability of drawing a pink marble?
Answers
Answer:
1/5
Step-by-step explanation:
There are 10 marbles in the jar (2+8 = 10)
P(pink) = number of pink marbles / total marble
= 2/10 = 1/5
Answer:
1/5 or 20% because there is ten marbles and there is 2 pink so the theoretical answer is 20% or 1/5
Step-by-step explanation:
A car can travel 308 kilometers on 22 liters of gasoline. How much gasoline will it need to go
490 kilometers?
Please answer
Answers
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
[tex]\frac{308}{22}=\frac{490}{x}[/tex]
[tex]308x = 10780[/tex]
[tex]x=35[/tex]
49 increased by twice a number m
Answers
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
alejandro rosario or mattia polibio?
Answers
Answer:
Alejandro Rosario
Step-by-step explanation:
he is just really cute, well both of them are, but his personality seems nice.
Answer:
ale
Step-by-step explanation:
Is there a solution to 2x^2+7x-4=0?
Answers
Answer:
x= -8 x= 1
Step-by-step explanation:
always answer is:
-b+(b^2-4ac)/2a
and
-b-(b^2-4ac)/2a
what is the solution of the equation 7d+7=14 a) -3 b) 1 c)3 d)-1
Answers
Answer:b)1
Step-by-step explanation:
7d+7=14
Step 1: Subtract 7 from both sides.
7d-+7-7=14-7
7d=7
Step 2: Divide both sides by 7.
7d/7=7/7
d=1
Hope that helps :)
Answer: b
Step-by-step explanation:
[tex]7d+7=14\\7d=14-7\\7d=7\\d=\frac{7}{7}\\ d=1[/tex]
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you’ll work through this pom-pom problem step by step.
Part D
You can solve the problem in part C using a different method. To set up this method, first find the total number of strands required to make a pair of pom-poms.
Answers
Answer:
White: 28 Blue: 20 Red: 32
Step-by-step explanation: Make ratios. If 35% are White strands then it would be 35/100 = ?/80 you can use the butterfly method to solve this:
35*80 = ?*100
? = 28
Blue: 25/100 = ?/80
(you can use the butterfly method or you can simplify 25/100 into 1/4)
1/4 = ?/80
1*80 = ?*4
? = 20
Red: 40/100 = ?/80 (once again, you can simplify if you want)
4/10 = ?/80
4*80 = ?*80
? = 32
Answer:
There are two pom-poms in a pair. The total number of strands required to make two pom-poms is 80 × 2 = 160.
Step-by-step explanation:
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answers
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
please helppp!!! thank you
Answers
Answer:
4/x^6
Step-by-step explanation:
8x^3/2x^9
4x^-6
since we can only use positive exponents,
4/x^6(because x^-6=1/x^6)
Answer:
4
x(power of 6)
Step-by-step explanation:2 can be divided into 8 and 2 reducing to 4 and 1. As for x, subtract the smallest power (3) from top of fraction and bottom of fraction. X(power of 3-3) and X(power of 9-3).
Question 4 Please help. If circle A is dilated so that it is the same size as circle B, which transformations could be performed next to show that the circles are similar?
Select all that apply.
Answers
There are 3 Answers:
Choice A) reflect the dilated circle over the horizontal line through point C.
Choice D) rotate the dilated circle 180 degrees around point C
Choice E) translate the dilated circle to center B
Due to symmetry, rotations and reflections do not change a circle. This is why we are able to rotate around point C so that it looks like a translation has occurred. A similar thing happens with reflections as well.
The correct Answers:
A) reflect the dilated circle over the horizontal line through point C.
D) rotate the dilated circle 180 degrees around point C
E) translate the dilated circle to center B
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given is circle A is dilated so that it is the same size as circle B, we need to determine the transformations performed to show that the circles are similar.
We know that,
Due to symmetry, rotations and reflections do not change a circle.
So, rotate around point C so that it looks like a translation has occurred.
A similar thing happens with reflections as well.
Hence, the correct options are A, D and E
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a real number line can represent both real and imaginary numbers
True or false ?
Answers
Answer:
True
Step-by-step explanation:
Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?
Please help!
Answers
Answer: 242.7 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
The first model has a height of 5 inches and a surface area of 80.9 square inches:
The proportion is : height/ surface area= 5 in / 80.9 in2
For a height of 15 inches
15 in/ x in2
So:
5/80.9 = 15/x
x= 15/ (5/80.9 )
x= 242.7 square inches
Feel free to ask for more if needed or if you did not understand something.
Find the value of x and y
Answers
Answer:
x=24 y=19
Step-by-step explanation:
2y=y+19
y=19
2x-8=x+16
x=16+8
x=24
Answer:
x = 24
y = 19
Step-by-step explanation:
Set the expressions with the x-variables together, and the y-variables together, like so:
2x - 8 = x + 16
Subtract x from both sides:
x - 8 = 16
Add 8 to both sides:
x = 24
Solving for y:
2y = y + 19
Subtract y from both sides:
y = 19
PLEASE HELP ME!!!
I don't understand....
If possible, please explain!
Answers
Answer:
d equals 61 because it is an opposite interior angle to angle b
there are two hotels that want to offer their guests Internet access. The hotels have different service Plans that charge the users as a function of time, t (in minutes), spent on the computer. The hotels' service plans are represented below, where C represents the cost to use the Internet on that plan:
C = 1.00 t + 5
C = 0.65 t + 7
• Using the equations shown above, explain the meaning of the slope and y-intercept.
Answers
Answer:
Slope is the rate per minute
1) $1 per minute
2) $0.65 per minute
y-intercept is the fixed amount which must be paid regardless of how much time internet is used
1) $5
2) $7
Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.
Total Volume = (3.14) (2.5) ^2 (4.5) =
Subtract the middle rim.
V = (3.14 ) ( .75 ) ( 4.5 )
TOTAL VOLUME - MIDDLE PART VOLUME =
Answers
Answer:
77
Step-by-step explanation:
Total Volume = 88
Middle Part Volume = 11
Total - Middle = 77
... since the last war, some mitigation of slavery has been
obtained in some respective districts of America, though
not in proportion to their own vaunted claims of
freedom; but it is to be hoped, that they will yet go to
make a further and greater reformation.
- Thoughts and Sentiments on the Evil and
Wicked Traffic of the Slavery and Commerce of
the Human Species,
Quobna Ottobah Cugoano
What inference about Cugoano's beliefs is most
supported by the passage?
Cugoano believes that America is a perfect
example of freedom.
Cugoano believes that America is not living up to its
claims of freedom.
Cugoano believes that America will never abolish
slavery
Answers
Answer:
Cugoano believes that America is not living up to its
claims of freedom.
Step-by-step explanation:
Answer:
B
the answer before must of confused yalls pretty little heads poor babies
Consider the experiment: flip a coin, then roll a number cube
