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Linear Inequalities: Mastery Test
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
21 + y > 4
Click on a tool to begin drawing
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А,
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10
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8
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2
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8
9
10
-2
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The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4
The inequality is represented as:
[tex]2x + y >4[/tex]
Subtract 2x from both sides
[tex]y >4 - 2x[/tex]
Rewrite the inequality as:
[tex]y >- 2x+4[/tex]
The linear inequality is represented as:
[tex]y >mx+c[/tex]
Where:
m represents the slopec represents the y-interceptSo, by comparison:
[tex]m = -2[/tex]
[tex]c = 4[/tex]
This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4
See attachment for the graph of the inequality
Read more about inequalities at:
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HELP ME PLEASE I DONT KNOW HOW TO DO THIS
Answer:
Step-by-step explanation:
x = 1 - 1
Find the slope of the line passing through the points A(-2,2) and B(7, -3)
Step-by-step explanation:
Formula : m = (y2-y1) / (x2+x1)
(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555please help me asap
ty :)
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + b
b= 7+9
b= 16
y= 3x+16
Step-by-step explanation:
while the other answer is correct, here also the way as the hint suggests :
y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9
y = 3x + 9 + 7 = 3x + 16
and there you have it : the same result just by using the point-slope form first.
the school parking lot has a surface area of 841 square meters and is square in shape calculate the length of one side of the parking lot
Answer: 29 ft
Step-by-step explanation:
Says parking lot is a square.
Square root of 841 is 29
Select all the expressions that equal:
-7 - (- 12)
below:
Answer:
c and e
Step-by-step explanation:
[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]
Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.
Answer:
You can conclude that the line segments BA and AC are perpendicular to each other.
Step-by-step explanation:
That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.
Answer:
CE
AE
segment addition postulate
Given: ABC is a triangle.
To prove: BC + AC > BA
Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.
Therefore, and .
Now, add the inequalities, we get
.
Then, because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)
Therefore, by substitution.
Step-by-step explanation:
how to express each of the following ratios in simplest dorm
Step-by-step explanation:
I am sorry but please give detailed question
log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? log, 2 3 log, 3 2 O log حاد 3 1 1093 2
Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).
Given a logarithmic expression,
㏒ (1/3) / ㏒ (2)
This expression is the result of a logarithmic expression when undergoes change of base formula.
The change of base formula is as given below.
㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)
Using the same formula here,
We have the expression ㏒ (1/3) / ㏒ (2).
Here x = 1/3 and a = 2
So, the required expression is,
㏒ₐ (x) = ㏒₂ (1/3)
Learn more about Logarithmic Expressions here :
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could someone help me find the stuff?
Answer: i cant really see the homework
Step-by-step explanation:
A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *
Answer:
3.7 meters
Step-by-step explanation:
First, convert the fractions into decimals.
5 1/5 = 5.2
1 1/2 = 1.5
Then subtract them
5.2-1.5=3.7 meters!
Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room
Answer:
72 minutes
Step-by-step explanation:
The sum of the rates of work in rooms per hour is ...
Jill's rate + Jim's rate
= (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour
__
Then the combined rate in hours per room is ...
1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)
= 72 minutes per room
Jill and Jim can paint the room in 72 minutes when they work together.
xsquare- 2x -4 = 0 using completing Square method
Answer:
........................
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
Find the slope of each line.
1)
Answer:
7/1 or 7
Step-by-step explanation:
because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.
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yan po answer
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LOVE U ALL
Hope you could get an idea from here.
Doubt clarification - use comment section.
pls help if you can.
Answer:
A. 85 B. 87 C. 60
Step-by-step explanation:
As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.
A: [360-(132+63+80)]
360 - 275
=85
B: [180(60+33)]
180 - 93
=87
C: [360(120+60+120)]
360 - 300
=60
Please help me
I such at geometry
Each big square below represents one whole.
What percent is represented by the shaded area?
Answer:
the frist one
Step-by-step explanation:
hope it helps
Find the slope of the line that passes through (10, 8) and (1, 9).
Answer:
m = 1/9
Step-by-step explanation:
Given:
x = 10
y = 8
x1 = 1
y1 = 9
Solution:
y - y1 = m ( x - x1 )
9 - 8 = m ( 10 - 1 )
1 = 9m
m = 1/9
Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
A shopkeeper bought 24 bottles of fruit juice for $63 dollars.
She sold them for $2.95 each.
Calculate her percentage profit or loss.
Answer:
0.325
Step-by-step explanation:
$63 divide by 24 you'll get 2.625
then $2.95 minus 2.625 you'll get 0.325
The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.How much does it cost for one person to rent a locker
Answer: 1040
Step-by-step explanation: 180+28=208
208 times 5 = 1040
1) Find the probability of rolling a
number greater than 3 on a standard
number cube.
Answer:
50%
Step-by-step explanation:
Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.
a
Yes, because each input is a natural number with multiple output numbers in the sequence
b
Yes, because each input is a natural number with a single output number in the sequence
c
No, because there are no input values paired with a single output number in the sequence
d
No, because there are multiple input values paired with a single output number in the sequence
Step-by-step explanation:
tricky, as the sequence does not define the input values.
by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.
in that sense, b is the correct answer.
The sequence is a function because each input is a natural number with a single output number in the sequence.
What is arithmetic progression?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.
Given the sequence {4, 7, 10, 13, 16, ...},
Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.
a₂ - a₁ = 7 - 4 = 3
a₃ - a₂ = 10 - 7 = 3
the difference in output is the same for all the numbers in sequence.
Hence the sequence is the function of the Arithmetic Sequence.
Learn more about arithmetic progression;
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jack predicted his car payment to be $300 each month. His actual car payment is $275 each month.what % was his prediction off by
Answer:
.91% he wa off by .91% because .91 of 300 is 25 and 300- 25 is 275
Step-by-step explanation:
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute it takes him to complete the drawing.Write an equation to match the situation.
Answer:
2x+5
Step-by-step explanation:
Equation y = 3x + 5 correctly represents the situation.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.
Let x be the number of each extra minutes.
And y be the total fees.
So, the equation;
The total fee = Charges of x minutes + initial fee.
y = 3x + 5
Therefore, the equation is y = 3x + 5.
To learn more about the equation;
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The Roman god Neptune and the Greek god Poseidon BOTH were considered to be the god ofA)war.B)time.C)the sea.D)the underworld.
Answer:
C)The sea
Step-by-step explanation:
Ares is the god of war
Hades is the god of the underworld
Cronos is the god of time
The map shows two walking trails in a park. Both paths end at the picnic area, located at C(6, 1). Trail A starts at A(−6, 6), and Trail B starts at B(−10, −11). If each unit on the map represents 0.5 mile, how many miles longer is Trail B than Trail A?
Answer:
12 miles
Step-by-step explanation:
because of slope
I need help please? ????????
Answer:
ummmmm i really don't get it but I think its 17/66
Step-by-step explanation:
multiply in to each fraction