The graph of a two-variable inequality is the set of points that describe all solutions to the inequality.
What are the steps to graphing an inequality?The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the symbol for inequality with that for equality.
Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.
Step 4: Shading one side or area of the boundary line is the final step.
Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.
Here show an example for better understanding:
Let us take a equation, 4x + 8y ≤ -24
Now, solve the above equation in the form of slope-intercept.
4x + 8y ≤ -24
or, 8y ≤ - 4x - 24
or, y ≤ -(1/2)x - 3
This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.To know more about inequality refer to:
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Please help me with this
Answer:
x = 5
Step-by-step explanation:
Given
- 3x - 2 = - 17 ( add 2 to both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Module 19 - Reflections
Assignment Active
Practice working with reflections.
Assignment
y
M(-5, 4)
M'(5, 4)
What is the rule for the reflection?
ry-axis(x, y) - (x, y)
P'y-axis(x, y) - (x,-y)
* rx-axis(x, y) (-x, y)
Orx-axis(x, y) = (x,-y)
2
L(-6,2)
N(-3,2)
N'(3,2)
L'(6,2)
x
-2
2
-2
Answer:
R y-axis (x,y) to (-x,y)
Step-by-step explanation:
The rule for reflection is [tex]r_y[/tex] axis (x, y) -> (-x, y).
What is Transformation?A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure.
The original shape of the object is known as the Pre-Image, and the final shape and location of the object is known as the Image during the transformation.
As per the figure. the coordinates of Triangle LMN are
L(-6, 2),
M(-5, 4)
N(-3, 2)
and, the coordinates of Triangle L'M'N' are
L'(6, 2),
M'(5, 4)
N'(3, 2)
Here, the y coordinate is same only the sign of x coordinate change.
So, the rule for reflection is r y- axis (x, y) -> (-x, y).
Learn more about Transformation here:
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-4(-2)+(-12)÷(+3)+-20+(+4)+(-6)
Answer:
-18
Step-by-step explanation:
[tex]-4(-2)+\frac{(-12)}{+3}-20+(+4)+(-6)=8-\frac{12}{3}-20+4-6=8-4-20+4-6=-18[/tex]
Answer:
-18Step-by-step explanation:
-4(-2)+(-12)÷(+3)+-20+(+4)+(-6). [B.E.D.M.A.S rule] (First bracket)
= 8 - 12 ÷ 3 - 20 + 4 - 6. (Then division)
= 8 - 4 - 20 + 4 - 6. (Then after addition)
= 8 + 4 - 4 - 20 - 6
= 12 - 30. (At last subtraction)
= -18 (Ans)
which is the correct input-output table for the function g(x)=-1/2(4x+6)
Answer: The third choice.
Step-by-step explanation: To find the first output, start with your first input. In this case, it's -2, so your equation would be g(-2)= -1/2(4(-2)+6). Start by solving inside the parenthesis. 4x-2=-8 and -8+6=-2. -1/2x-2= 1, so your first output should be 1. The only choice that has this is the third one, so that is your answer. Hope I could help :)
3 3/4 x 4
Help me pas
Answer:
15 (C)
//msg added cus it was short//
Solve for x. Use the photo for the chord
Answer: x=3
Step-by-step explanation:
What does the y-intercept represent in the graph below?
which two ratios represent quantities that are proportional?
Answer:
C, because it equals in both sides
Answer:
The answer is C
Step-by-step explanation:
PLEASE HELP ASAP ILL MARK BRAINLY IF U DO
Answer:
34.1 is the answer by Pythagoras thereom
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
A pattern of ordered pairs is shown.
(0, 1), (2,4), (4,7), (6, 10)
The pattern continues. What is the eighth ordered pair in the pattern?
A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)
Answer: C
Step-by-step explanation:
X’s are going by +2 and y’s by +3
After identifying the pattern, its eighth ordered pair is: (14, 22), option C.
--------------------------
The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)
From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.A similar problem is given at https://brainly.com/question/16599038
What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers
Domain: x > –2; Range: y > –2
Domain: x < –2; Range: All real numbers
Domain: All real numbers; Range: y > –2
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
Asymptote is y = -2 so all y-values have to be greater than -2. The asymptote is horizontal so x-values can be all real numbers.
Plzzzz asappp help thanks
Answer:
I might not be right but try following the steps in the screen shot
Also the answer is in the screenshot
Step-by-step explanation:
I tried my best. :>
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.(Quadratic Word Problems (Profit/Gravity)
y=-16x^2+121x+83
Answer:
The rocket will hit the ground after about 8.20 seconds.
Step-by-step explanation:
The height of the rocket y, in feet, x seconds after launch is modeled by the equation:
[tex]y=-16x^2+121x+83[/tex]
We want to find the time at which the rocket will hit the ground.
If it hits the ground, the height of the rocket y will be 0. Thus:
[tex]0=-16x^2+121x+83[/tex]
We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = -16, b = 121, and c = 83. Substitute:
[tex]\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}[/tex]
Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:
[tex]\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}[/tex]
Therefore, our two solutions are:
[tex]\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63[/tex]
Since time cannot be negative, we can ignore the second solution.
Therefore, the rocket will hit the ground after about 8.20 seconds.
ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIEST
Six containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer
Answer:
what is the question tho?
Answer:
Hi! The answer to your question is 36.953
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
solve for X
7x=49 (brainliest)
Answer:
7
Step-by-step explanation:
divide 7 to both side
7x/7=49/7
x=7
HELP PLEASE.
Area=
If there is no value under the square root enter a 1.
10^2+16^2=100+256=356^2
The first box should be 2 and the second should be 356
hi, how can i graph the equation,
10i + 16p = t
?? thanks
Which of the following pairs of equations has (5, 3) as a solution?
Answer:
the last one .
Step-by-step explanation:
like my answer and brainliest please
Help this is due in 2 minutes
I'LL GIVE YOU 5 STARES HELP. Find the area of the figures shown below and drop the correct result Into the appropriate blank. DRAG & DROP THE ANSWER 14 cm 55 cm 8 cm 11 36 m² 5 cm 38 cm 8 cm 58 cm 39 m2 8 m 40 m² 11 4 m 70 cm 10 m
In a survey of 292 students, about 9.9% have attended more than one play. Which is closest to the number of students in the survey who have attended more than one play?
Answer:
so sorry i needed the points to ask my question.
Step-by-step explanation:
30 Students I hope it helps.
Note Figure is not drawn to scale.
If r= 2 cm and h = 2 cm, what is the surface area,
in terms of r?
Answer:
your answer is...
Step-by-step explanation:
50.265482457437
I used my calculator
work out the equation for each graph in the form
y=mx+c
please help !
Answer:
Top first one is y=-3x-3.
Step-by-step explanation:
I know you will be able to figure out the rest. I will explain. The problem if I just give you the answers are you won’t be actually able to solve it when you encounter it on like a test or something.
The explanation:
m=rise/run.
c=y intercept/ where it is on the y-axis.
if you go down on the y axis, it would negative. The opposite will be true if you go up.
I also think it is supposed to be y=Mx+b instead of y=Mx+c.
hopefully that made sense.
Solve -4x + 6(x + 2) = 20.
Answer:
4
Step-by-step explanation:
-4x +6x +12 = 20
2x + 12 = 20
2x = 8
x = 4
Answer:
X=4
Step-by-step explanation:
-4x+6x+12=29
2x=8
x=4
Good luck .
Plz help i don't wnat links i want you to show the answer on here i trust you will.
A=__in^2 i will give the brainlist 20 points btw
Answer:
a to L is 12 inches and a to n is 32 in Step-by-step explanation:
need help asap i have 25minutes left
bac=57
Step-by-step explanation:
lmk=50
abc= 63 (if they are parallel)
I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!
ON=5.099
Hope it helps
Question is in picture
Answer:
casino see v
Step-by-step explanation:
j:)
how to do this question plz answer me step by step plzz plz please
Answer:
See the attached
Step-by-step explanation:
The solution and filled in Venn diagram is attached