On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?
Answers
Answer:
A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2
Step-by-step explanation:
The linear equations above match the lines in terms of slope and y-intercept.
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The system of linear inequalities of the given points is required.
The system of inequality is
[tex]x-3y\leq -9[/tex]
[tex]3x-y>2[/tex]
Points of the first line
[tex](0,3)[/tex]
[tex](3,4)[/tex]
The equation of the line is
[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]
Let us take a point above this line [tex](2,4)[/tex]
It is also a solid line.
[tex]2-3\times 4=-10<-9[/tex]
So, the inequality is [tex]x-3y\leq -9[/tex]
Points of the second line
[tex](0,-2)[/tex]
[tex](1,1)[/tex]
The equation of the second line is
[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]
Let us take a point towards the right of the line [tex](2,2)[/tex]
[tex]3\times 2-2=4>2[/tex]
Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]
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Related Questions
Solve the equation. Indicate whether the equation below has no solution, one solution, or infinitely many solutions.
-5x - 25 = 5x + 25
Answers
The temperature at sunrise is 42°F. Each hour, the temperature rises 7°F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours. What is the graph of the equation? Write an equation that models the temperature y, in degrees Fahrenheit, after x hours.
Answers
Answer:
y = 42 + 7x
Step-by-step explanation:
y=42+7x is the equation that models the temperature y, in degrees Fahrenheit, after x hours.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the temperature at sunrise is 42°F.
Each hour, the temperature rises 7°F.
We need to find the equation that models the temperature y, in degrees Fahrenheit, after x hours.
y=42+7x is the equation that models the temperature y, in degrees Fahrenheit, after x hours.
We have to draw the graph by taking few points.
x 0 1 2 3
y 42 49 56 63
Hence, y=42+7x is the equation that models the temperature y, in degrees Fahrenheit, after x hours.
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HELP PLEASE 15 POINTS!
Olivia was reading about the Earth’s history. She grew interested in the Quaternary period in the Cenozoic era and studied it further. The Quaternary period is best known for which two major events?
A.the rise of reptiles and flowering plants
B. the rise of mammals and swimming mammals
C. the ice ages and the rise of humans
D. the rise of dinosaurs and other reptiles
Answers
The Quaternary period is best known for the ice ages and the rise of humans.
What is the quaternary period?The numerous cycles of glacial expansion and retreat, the extinction of several species of big animals and birds, and the spread of humans are all associated with the Quaternary Period.
Due to the existence of at least one permanent ice sheet (Antarctica), the whole Quaternary Period, including the present, is referred to as an ice age; yet, the Pleistocene Epoch was usually drier and colder than the current period.
The Holocene is the most recent of the geochronological time divisions that make up the quaternary period, which began around 2.6 million years ago with the commencement of the Northern Hemisphere glacial (Zalasiewicz et al., 2015). Glacier deposits and proof of glacial erosion are the Quaternary's most distinctive features at middle and high latitudes. The main characteristic of high mountains like the Alps, Himalayas, Andes, and Rockies is glacial erosion.
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Please Help I’m failing geometry and I need to pass this
Answers
Answer:
Angle F and Angle L
Step-by-step explanation:
help please
solve for X
Answers
Answer:
Step-by-step explanation:
those angles are congruent because they are vertical angles
6x+4 = 58 ; subtract 4 from both sides
6x = 58-4 ; combine like terms
6x = 54; divide both sides by 6
x= 9
Enter the number that makes the equation true
Answers
Answer:
80
Step-by-step explanation:
First of all, before you do anything to compute the answer, you can see that there is (–13/100) on both sides of the equation. You can cancel them out, since they're the same thing.
Now, you're left with:
[tex]0.8 = \frac{}{100}[/tex]
This is also read as 0.8 is the same thing as [how many] hundredths.
You should know that 0.8 = eight tenths.
So if you move the decimal point right once, you'll get:
0.80
Which is also eighty hundredths.
Your answer would be:
[tex]0.8 = \frac{80}{100}[/tex]
which is 80.
To check your answer, you can also do:
80/100
Because the fraction bar can also be read as "divided by."
You will get 0.8.
How many vertical asymptotes does the graph of this function have?F(x)=2/x(x+1)
A. 1
B. 3
C. 0
D. 2
Answers
Answer:
D.2
Step-by-step explanation:
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A vertical asymptote is the value of x for which the function is not defined.
The vertical asymptotes that the graph of this function F(x)=2/x(x+1) will be 2 because x(x+1) is of the second degree.
Hence, the correct option is D.
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70 points brainliest just please help me
Answers
Answer:
How can anyone see it it’s too blurry
Step-by-step explanation:
Shaggy earned 7.50 an hour plus an additional $100 in tips waiting tables last night. He earned more than $160 in all. Write an inequality to represent this situation and help you find the number of hours (h) he worked.
Answers
Answer
x>21.2
Step-by-step explanation:
7.55x+100>160:
subtract 100 on both sides to get:
7.55x>60:
divide 7.55 on both sides:
x>21.2 is your answer
Answer:
7.50h + 100 > 160
Step-by-step explanation:
7.50 is the hourly wage
h = hours he worked
add 100 once because it's his tips for the amount of time her worked
since he worked more than 160, you'll use the greater sign
then solve for h
h = 8 hours
Before beginning voice lessons, Colin already knew how to sing 2 pieces, and he expects to
learn 2 new pieces during each week of lessons. How many weeks of lessons will Colin need
before he will be able to sing a total of 50 pieces?
Answers
Answer: Answer is 24 though
Answer:
24 weeks of lessons
Step-by-step explanation:
use y = mx + b
y = total pieces Colin can sing = 50
m = pieces learned each week of lessons = 2
x = number of weeks = ?
b = pieces colin knew before lessons = 2
50 = 2x + 2 (subtract 2 from both sides)
48 = 2x (divide both sides by 2)
x = 24 weeks
Find the value of x.
Answers
Answer:
Step-by-step explanation:
2/3=x+3/2x+2
4x+4=3x+9
x=5
One tract of land contains 25 acres. An adjoining tract of land is 1 square mile. The owners agreed to sell for $1,500 per acre. What was the total price of the 2 lots?
Answers
Answer:
$997,500
Step-by-step explanation:
Tract 1 = 25 acres
Tract 2 = 1 square mile
Cost of land per acre = $1500
Number of acres per square mile = 640 acres
Total number fo acres :
(Tract 1 + Tract 2)
(25 + 640) acres
= 665 acres
Total cost :
665 * $1500
= $997,500
write the word sentence as an equation. 9 less than a number n equals 27. An equation that represents this sentence is
Answers
should be the right answer!
Answer:
N-9=27
hope it helps
Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36
B. 1/18
C. 1/12
D. 1/6
Answers
Answer:
1/36
Step-by-step explanation:
There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.
If x = 3 what is the value of x3 – 2x
Answers
Answer:
21
Step-by-step explanation:
If x = 3 Then
x³ - 2x = ( 3)³ - 2 * 3
= 27 - 6
= 21
Hope it will help :)
If the measure of an angle is twenty
degrees, what is the measurement of
its complementary angle?
Answers
Answer:
70 degrees
Step-by-step explanation:
complementary angle means that the 2 angles add up to 90 degrees
20 + x = 90
x = 70
20 plus 70 would be 90
what terms best describe the relationship between
Answers
what dose this mean :(me need to draw line
Answers
Because OP only asked for a clarification of the problem statement:
You are asked to find the green area. (Hint: divide the green area into rectangles and right triangles, because you know their area.)
What are the coordinates of the imagine of point A aftert he segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin
Answers
Answer:
The correct option is 2
Step-by-step explanation:
the answer would be (1,-2) because you basically divide the coordinates by the scale factor, in this case 4.
PLEASE MARK ME AS BRAINLIEST
Triangles A B C and F D E are shown. Angle A C B is 83.5 degrees. Angle D E F is 62.7 degrees. The lengths of sides B C and D E are congruent. The lengths of sides E F and C A are congruent. Given Line segment A C is-congruent-to line segment F E and Line segment C B is-congruent-to line segment E D which statement is correct?
Answers
Answer: AB>FD
Step-by-step explanation: It was the correct answer on Edge
Answer:
C-AB>FD
Step-by-step explanation:
i just took it
using elimination.
6x + 2y = 14
5x – 2y = 8
And hurrry
Answers
Answer: x=2 y=1
Step-by-step explanation:
11x = 22
x = 2
5*2-2y=8
10-2y=8
10-8=2y
y=1
NEED ASAP!!!!!!!!!!!!!!!simply 495/500
Answers
Answer:
0.99
Step-by-step explanation:
I hope this helps ! :)
Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? *
2/5
1/3
4/11
1/4
Answers
Answer: 4/11
Step-by-step explanation
Please help! Giving out brainiest.
Answers
Answer:
x - 1
Step-by-step explanation:
3(3x + 3) - 2(5 + 4x)
9x + 9 -10 - 8x
x - 1
hope this helps!
While picking apples, Mia noticed that six apples had worm holes and had to be thrown away. What is the ratio of good apples picked to bad apples picked?
Answers
Answer:
Step-by-step explanation: what is the total amount of apples she saw?
I have no idea what to do with this question
Answers
m being the slope
b being the y intercept
y=-5/1x-5
simplified it would be
y=-5x-5
The Greatest Value of a country's paper money ever printed is 10 to the 8th power dollars. What is this amount written in standard form?
Answers
Answer: 1 × 10^8
Step-by-step explanation:
The standard form is written as:
= c × 10^n
For example if we are told to change 200 to standard form, it'll be:
200 = 2 × 10^2
Therefore, 10 to the 8th power in standard form will be:
= 1 × 10^8
Write an equation in point slope form that passes through the given point and has the given slope.
Point = (-1, -4)
Slope = 2
Answers
Answer:
y+4=2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-(-1))
y+4=2(x+1)
Answer:
y+4=2(x+1)
Step-by-step explanation:
point slope form
(y-y1)=m(x-x1)
m: slope = 2
(x1,y1) = (-1,-4)
(y+4)=2(x+1)
find the 19th term of the arithmetic sequence d=5 a1=2
Answers
Answer:
92
Step-by-step explanation:
nth term = a₁ + (n - 1)d
19th term = 2 + (19 - 1) * 5
= 2 + 18*5
= 2 + 90
= 92
the ratio is 3:1 how many parts are there
