What is the boundary line for the linear inequality 4x + 2y < 18?
Answers
Answer:
Simplifying
x = 4.5 + -0.5y
Step-by-step explanation:
The boundary line of the inequality is intersecting the x-axis at 4.5.
The given inequality is 4x + 2y < 18.
What is the boundary line for linear inequality?A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Graph the inequality by finding the boundary line, and then shading the appropriate area.
Now, 4x + 2y < 18 can be written as y<−2x+9.
The boundary line of the inequality is given below.
The boundary line of the inequality is intersecting the x-axis at 4.5.
To learn more about the inequalities visit:
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Related Questions
you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.
Answers
Answer:
46 ft
Step-by-step explanation:
A = π×d²/4
d² = √4×A /π
= √4×1611.06 / 3.14
=√ 2116
= 46 ft
Answer:
46 feet squared
Step-by-step explanation:
A = π×d²/4
d² = √(4×A /π)
= √(4×1611.06 / 3.14)
= 2116
= 46 ft squared
The principal at a school recorded the color and make of all vehicles in the student parking lot. From the data, the following probability model was created about the colors of the vehicles.
A 2-column table with 4 rows. Column 1 is labeled outcome with entries red, black, white, other. Column 2 is labeled probability with entries 0.28, 0.30, 0.22, 0.20.
Which pairs of events about a vehicle are mutually exclusive? Check all that apply.
The events red and black
The events white and two door
The events white and other
The events black and truck
The events red and other
Answers
Answer:
1, 3, 5
Step-by-step explanation:
EDG 2020-2021 Stats
The events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.
What is probability?The probability is defined as the chances of happening any event. Mutually exclusive events are those in which the one event is independent of the other event.
The condition for the mutually exclusive event will be:
[tex]P(A|B)=\dfrac{P(A) \ and P(B)}{P(A)}=P(A)[/tex]
We have the data
red, 0.28
black, 0.30
white, 0.22
other 0.20
Here we will check the mutually exclusive event:-
(1)The events red and black
[tex]P(R|B)=\dfrac{P(R\ and\ B)}{P(B)}[/tex]
[tex]P(R|B)=\dfrac{0.28\times 0.30}{0.30}=0.28 =P(R)[/tex]
Hence the event is exclusive.
(2)The events white and other
[tex]P(W|O)=\dfrac{P(W\ and\ O)}{P(O)}=P(W)[/tex]
[tex]P(W|O)=\dfrac{ 0.22\times 0.20}{0.20}=0.22=P(W)[/tex]
Hence the event is exclusive.
(3) The events red and other
[tex]P(R|O)=\dfrac{P(R\ and\ O)}{P(O)}=P(R)[/tex]
[tex]P(R|O)=\dfrac{ 0.28\times 0.20}{0.20}=0.28=P(R)[/tex]
Hence the event is exclusive.
Hence the events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.
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Which graph represents x > 23
A. 23 To the right
B. 23 to the left
In a number line?
Answers
Answer:
eStep-by-step explanation:
O
Pls help extra points and mark brainlist
Answers
Answer:
(12)3=36
Step-by-step explanation:
i don't know.. I think this is what the question is trying to say XD
Answer:
(12)3=36
Step-by-step explanation:
Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?
Answers
Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up
Step-by-step explanation:
just took the test
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answers
Answer:
What is the angle of rotation for this counterclockwise rotation about the origin?
answer:
270°
Step-by-step explanation:
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
probability that it will be a blue or a red marble?
Answers
Answer:
I would say it would be in the middle
Step-by-step explanation:
Answer: the answer would be 52% :)
Step-by-step explanation:
14) What is the vertex form y = 3x2 - 12x + 17?
A) y = 3(x - 2)2 +5
B) y = 3(x - 2)2 + 17
C) y = 3(x - 2)2 + 11
D) y = 3(x + 2)2 + 5
I
Answers
Answer:
the vertex is 14yx
Step-by-step explanation:
what wasbthe high temperature bon the 6th day of the trip
Answers
Choose the correct simplification of (7x^3 – 4x - 8) + (2x^3 + 3x + 2).
Answers
Answer:
9[tex]x^{3}[/tex]-x-6
Step-by-step explanation:
Answer:
=9x3−x−6
Step-by-step explanation:
7x3−4x−8+2x3+3x+2
If q is a rational number and r is a real number,
then q + r is
Answers
Answer:
(D)
Step-by-step explanation:
~a rational number....I hope it helps
Helpppppp meeeeeeeeee
Answers
Answer:
The temperature needs to rise 1.5 degree C to reach 0 degree C.
Step-by-step explanation:
-1.5+1.5=0
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Answers
(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)
Answer: 20 g butter, 10 g sugar, 30 g flour
Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.
So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.
120/6 = 20
60/6 = 10
180/6 = 30
10g sugar
30g flour
What is the GCF of 48mn and 81m?n??
О Зmn
О Зmn
О. 48men
О 129m52
Answers
Answer:
3m2n is the answer this answer but I dotnsee its s an option
In which region are the patient counts most similiar
Answers
Please hurry; The number of bacteria in a culture grows exponentially. It can be modeled with the function f(x) = 20 (2^x).
How many more bacteria will there be after six hours?
a 12
b 32
c 960
d 1280
Answers
Answer:
D.
Step-by-step explanation:
20(2^6) = 1280
Two websites sell the same type of headphones.
Website A
Website B
Cost of headphones
£49.95
£47.68
Cost of postage
£4.39
£6.95
Including the cost of postage which website is cheaper and by how much
Answers
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answers
Answer:
5ft
Step-by-step explanation:
13ft -8ft = 5ft
EASY ANSWER PLEASE WANT BRAINLEIST SURE JUST ANSWER!
Answers
Answer:
can i have brainliest i answered in the question spot
Step-by-step explanation
What type of transformation transforms (a, b) to (-a, b)?
a reflection over the y-axis
a translation of 1 unit down
a reflection over the x-axis
a translation of 1 unit up
Answers
Answer:
A reflection over the y axis .
Step-by-step explanation:
Given : Transforms (a,b) to (-a,b).
To find : What type of transformation.
Solution : We have given
Parent function : (a,b) .
Transformed : (-a ,b).
Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).
Then we can say in transformation (a,b) →→→→ (-a,b).
Therefore, A reflection over the y axis
Step-by-step explanation:
plz brain list
Answer:
hes right i took the test
Step-by-step explanation:
Sarah has two quarters in her pocket, one from Florida and one from Georgia. She randomly pulls one quarter from her pocket, looks at it, and puts it back. Then she does this a second time. What is the probability that Sarah will select the Florida state quarter both times?
Answers
Answer:
50%.
Step-by-step explanation:
there are two quarters.
1 1
quarter quarter
she has an equal chance of pulling out either of them, because (quote) it's random.
50/50
−5.55−8.55c+4.35c answer please
Answers
Answer:
-5.55- 4.2c hope this helps
Step-by-step explanation:
In art class,Oren class or make flowers out of button or has 16 buttons and he uses 6 buttons to make each flower he makes as many flowers as he can.how many flowers does Oren make?how many buttons are left?
Answers
Answer:
2 with 4 left over
Step-by-step explanation:
Pleaseeeeeeeee answer if you do your the best at life!!!!!
Answers
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Answer:
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Step-by-step explanation:
Explain answer !
( Will give brainlst)
Answers
1/4 = 0.25
Root 3 = 1.732...
So smallest to biggest: 1/4, root 3, Pi
so from least to greatest it would be ordered,
1/4, square root of 3, and pie.
5 tenths - 2 tenths = 3 tenths in standard form
Answers
Answer:
5×10-2×10=3×10
50-20=30i think
Questions are in the picture need ASAP 14 points :)
Answers
Answer:
x = k + 7
x = k + 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we are solving for x here are the answers;
x=k+7
x=k+3
If we are solving for k here are the answers;
k=x-7
k=x+3
HELP ASAP!!! Identify the interior angles and explain how you know. THANKS!!
Answers
Answer:
interior angles are /_3,/_4,/_5 and /_6
A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?
Answers
In a marketplace, a box of peaches can be purchased for $77.95 per box. One box
contains 78 peaches. How much would you have to pay to buy 4 peaches?
(Hint: Convert 4 peaches into dollars.)
Round your answer to the nearest hundredth. Do not type the units ($) in the space
below.
Answers
Answer:
4
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
We have that:
You buy 78 peaches for $77.95. How much you pay to buy 4 peaches?
78 peaches - $77.95
4 peaches - x
[tex]78x = 4*77.95[/tex]
[tex]x = \frac{4*77.95}{78}[/tex]
[tex]x = 4[/tex]
You pay $4 for 4 peaches.