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.
I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!
Have a great day!
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
what is the midpoint between (1,5) and (7,-3)
Answers
Answer:
(4,1)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]
Factor the expression using 3 as one factor. 3x−30
Answers
Answer:
3(x - 10)
Step-by-step explanation:
3x - 30 = 3(x - 10)
Hii!
__________________________________________________________
Answer:
3(x-10)
Step-by-step explanation:
Note that both terms, 3x and -30, have a 3 in common. This is called the greatest common factor, or g.c.f.
The g.c.f. of 3x and -30 is 3. So we divide both 3x and -30 by 3, and obtain
x-10
Put parentheses around x-10
(x-10)
Next, put 3 outside the parentheses
3(x-10)
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Hope that this helped! Best wishes.
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2. What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i?
A. y = x - 2x2 - 9x + 18
B. y = x3 - 2x2 + 9x - 18
C. y = x2 - 5x - 6
D. y = x2 + x - 6
Answers
Greg and Carl work at neighborhood car wash facilities and are paid daily. Greg is paid $25 a day plus $7 for each car he washes. Carl earns the same amount per car washed, but his total earnings in a day are always $6 more than Greg's. Which equation expresses the total amount, t, that Carl earns, as a function of the cars he washes, c?
A)t=19+7c
B)t=25+7c
C)t=31+7c
D)t=25+13c
Answers
Answer:
Answer: It's easy, compare the same answers.
Step-by-step explanation:
A. 19+7= 16
B. 25+7= 32
C. 31+7= 38
D. 25+13= 38
Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!
Answers
Your parents are allowing you to purchase new clothes for school. You go to Hollister, where shirts are all on sale for $24.00 and jeans are all on sale for $35.00. After trying on some clothes, you check out and leave the store with 13 things in your bag and a receipt that says that you spent $367.00. How many shirts and jeans did you buy?
Define the variables: x= ___________ y=________
Equation #1:______________
Equation #2:______________
Solution: _____________
Answers
Answer: 8 shirts 5 jeans
Step-by-step explanation:
Numbers 6 , 3 , (X – 4) are length of sides of an isosceles triangle , X =
Answers
what is 512.3 divded by 100
Answers
Answer:
the answer is 5.123
Step-by-step explanation:
have a good day <3
Answer:
5.123
Step-by-step explanation:
Just need to move the decimal two times to the left because there are two zeros.
(HELP ASAP GEOMETRY) Find the length of the midsegment. The diagram is not to scale.
Answers
Answer:
D?
Step-by-step explanation:
Jessica's business has 83 rolls of toilet paper. Customers use 3 rolls of toilet paper per day.
Write an expression to represent the amount of toilet paper after d days. i dont understand can someone post an answer an explain?
Answers
Pls help me with my homework
Answers
Answer:
b = 8
Step-by-step explanation:
Using Pythagorean Theorem, a[tex]a^{2} +b^{2} =c^{2}[/tex], we just plug in what we know.
We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.
Now, our equation will be: [tex]6^{2} +b^{2} =10^{2}[/tex].
You could also use the equation: [tex]b^{2} =10^{2} -6^{2}[/tex].
Next, we'll just solve the equation.
[tex]10^{2} =100[/tex], [tex]6^{2} = 36[/tex]
[tex]b^{2} =100 - 36[/tex]
[tex]b^{2} = 64[/tex]
[tex]\sqrt{b^{2} } = \sqrt{64}[/tex]
b = 8
Good luck :D
If billy has 20 undex card then cut them in half would that be a physical or chemical change?
Answers
Answer:
Physical
Step-by-step explanation:
Cutting the cards in half just changes what they look like, not what they are. Changing what they are would be a chemical change.
Answer: physical change
Step-by-step explanation:
A triangle has sides of length 3 cm, 5 cm, and 7 cm.
Find the size of the largest angle in the triangle,
Answers
Answer:
C=120 degrees
Step-by-step explanation:
We can use the law of cosines to find an angle when we have all three sides
(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)
49 = 25 +9 -30Cos(c)
49= 34 -30Cos(c)
15 = -30Cos(c)
Cos(c) = -1/2
C=120 degrees
A person walks 1/7 mile in 1/12 hour. the persons speed is _ miles per hour
Answers
Answer the a person walked 1.344 per 1/12
Step-by-step explanation:
Joey learns a total of 14 appetizer recipes over the course of seven weeks. After how many weeks of school will Joey know a total of 16 appetizer recipes. Solve using unit rates
Answers
Answer:
8 weeks
Step-by-step explanation:
14 appetizer recipes over the course of 7 weeks means she learns 2 recipes in 1 week so this means it will take her 8 weeks to learn 16 recipes. (Double check to make sure I'm correct)
geometry
please help! asap!
Answers
Answer:
the awnser is 135
Step-by-step explanation:
15 × 9 = 135
Answer:
54 m^2
Step-by-step explanation:
Area = 1/2 * base * height
You are missing height, but because you have the hypotenuse, you can use the Pythagorean Theorem to find it.
height^2 + (9m)^2 = (15m)^2
height = sqrt(225 m^2 - 81 m^2)
height = sqrt(144 m^2) = 12m
Area = 1/2 * 9m * 12m = 54 m^2
The front of a vacation cottage is an equilateral triangle with a base of 44 feet. What is the height
x of the cottage above its foundation?
Answers
Answer:
Step-by-step explanation:
Four friends were born in consecutive years. The sum of their
ages is 94. What is the age of the oldest friend?
Answers
Answer:
25
Step-by-step explanation:
Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.
Now we add the 4 expressions and set the sum equal to 94.
x + x + 1 + x + 2 + x + 3 = 94
4x + 6 = 94
4x = 88
x = 22
The youngest one is 22.
The oldest one is
x + 3 = 22 + 3 = 25
Answer: 25
Find the missing value so that the two points (-1, -1) and (x, 1) have a slope of 217.
6
7
10
12
Answers
Answer:
6
Step-by-step explanation:
you needed to make a graph and then find the (-1,-1) and then move two spaces to the right and then seven up and you get (6,1)
hope this helped
3(3v-5) = 39
Simplify your answer as much as possible.
Answers
Answer:
v = 6
Step-by-step explanation:
Given
3(3v-5) = 39
So,
3v - 5 = 39 / 3
=> 3v - 5 = 13
=> 3v = 13 + 5
=> 3v = 18
=> v = 18 / 3
=> v = 6
#HopeItHelps
Answer:
V=6
Step-by-step explanation:
Hope this helped! :)
Simplifying
3(3v + -5) = 39
Reorder the terms:
3(-5 + 3v) = 39
(-5 * 3 + 3v * 3) = 39
(-15 + 9v) = 39
Solving
-15 + 9v = 39
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9v = 39 + 15
Combine like terms: -15 + 15 = 0
0 + 9v = 39 + 15
9v = 39 + 15
Combine like terms: 39 + 15 = 54
9v = 54
Divide each side by '9'.
v = 6
Simplifying
v = 6
3x-8>22
Hellllllllllllllllpppppp
Answers
Answer:
Step-by-step explanation:
Pemdaa
3x-8>22
3x-8+8>22+8
3x>30
3x/3>30/3
x>10
Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)
Give your answer in standard form.
Answers
Answer:
7.04× 10^5
Step-by-step explanation:
6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4
= 67.2 x 10^4
(67.2 x 10^4)+ (3.2 x 10^4)
(67.2+3.2) × 10^4 = 70.4 × 10^4
7.04× 10^5
Answer:
7.04× 10^5 Step-by-step explanation:
Please anyone help please ASAP
Answers
Answer:
Angle WTS will be 180 degree minus 15x. You can write this as an expression:
180-15x
Now you have an expression for each angle in the triangle. Triangles will always have 180 degrees in them. You can add the expressions together and set it equal to 180. Then you can solve the equation for the x variable.
Step-by-step explanation:
Angle SWT + angle WTS + angle TSW = 180 degrees
Replace each angle with the expression then solve.
Answer:
x=7.90 x≈8
Step-by-step explanation:
they are alternate interior angles
so: 7x+6+15x=180
22x+6=180
22x=174
=7.9090......
you can double check my work
if you answer i will give brainliest.
148.5 ÷ 6 =?
Answers
Answer:
Step-by-step explanation:
24.75
Answer:
148.5/6=24.75
PLS help me. i need to get this right for a graded homework assignment
Answers
Answer:
934.14
Step-by-step explanation:
Answer:
no hey sis
Step-by-step explanation:
What is ¨0.83% of n is 18.26¨ (just tell me the value of n)
Answers
Answer:
N = 2,200'Percent (%)' means 'out of one hundred':
0.83% = 0.83 'out of one hundred',
p% is read p 'percent',
0.83% = 0.83/100 = 0.83 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 2,200 by 0.83%
0.83% × 2,200 =
(0.83 ÷ 100) × 2,200 =
(0.83 × 2,200) ÷ 100 =
1,826 ÷ 100 =
18.26
Step-by-step explanation:
Hope it is helpful....
I NEED HELP FAST PLEASE :)
Answers
Answer:945
Step-by-step explanation:
Find the percentage of the following:
1.25% of 60
2.75% of 20
3.20% of 10
4.50% of 100
5.5% of 30
Answers
2.)15
3.)2
4.)50
5.)1.5
3.
We have $10,000 to invest for 45 months. How much money will we have if we put
the money into an account that has an annual interest rate of 5.5% and interest is
compounded...
a. monthly
b. quarterly
c.continuously
(find all)
Answers
i dont even know this one besties help my small brain 3
Answers
Answer:
-If the legs of the triangle added up are bigger than the hypotenuse, its an acute tri.
-if they are smaller then its and obtuse angel
-if the legs added up are = to the hypotenuse, then the triangle Is a right triangle.
your right triangle is:
5,12,13
Step-by-step explanation:
Because 5^2+12^2=13^2
It is true