Identifying the Graph of an Inequality
Which is the graph of 4x + 2y < 3?
y
4
TY
NA
2
2
2
21
x
41
2
4
-4-2
2.
4
-4
2.
4
2
4
-2
-2
x
Answers
Answer:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
__
You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
The graph is given below.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The graph of 4x + 2y < 3 is the region in the coordinate plane that satisfies the inequality.
To graph this inequality, we can start by graphing the line 4x + 2y = 3.
This line has a slope of -2 (because it can be written in the form
y = (-2x/1) + (3/2)), and a y-intercept of (0, 3/2).
We can plot this point on the y-axis and use the slope to find other points on the line.
For example, if we move one unit to the right from the y-intercept, we will move down two units (since the slope is -2), giving us the point (1, 1/2). Similarly, if we move one unit to the left from the y-intercept, we will move up two units, giving us the point (-1, 5/2).
We can connect these points to graph the line.
Therefore,
The graph of 4x + 2y < 3 is the region below the line 4x + 2y = 3.
Learn more about inequalities here:
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Related Questions
y=x+3 find the inverse
Answers
Answer:
[tex]f^{-1} (x) = x - 3[/tex]
Step-by-step explanation:
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
-5
-2
2
О
5
Answers
Answer: It should be -2 and 5
Step-by-step explanation:
PLEASE HELP
How do you write the set notation for the graph below
Answers
Answer:
The first one
Step-by-step explanation:
Its just playing with the signs, its not ____ and equal to so the last two arent it (because of the empty circle) and its greater than -1 so its number 1.
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answers
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
pls help me answer this :’)
Answers
Answer:
Commutative and multiplicative identity
Step-by-step explanation:
mark brainlyist
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
a) set up the variables
Let _______ represent the first number Then _______ will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.
Answers
Answer:
34 and 17
Step-by-step explanation:
x+y=51
2y=x
2y+y=51
3y=51
y=17
2(17)=x
x=34
Factor:
14y2 + 7y
Your answer should be in the format:
GCF ( )
Do NOT use spaces
Do NOT use capital letters
Answers
Answer:
7y(2y+1)
Step-by-step explanation:
7y(2y+1)
Welcome
Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.
Answers
Answer:
P = 6d ; P = 5d + 15
Step-by-step explanation:
Given that :
Keith = 6 pages per day
Tameka = 5 pages per day
Tameka has already read 15 pages
If d = Number of days ; p = pages read
Keith :
Pages read, p = pages read per day * Number of days, d
P = 6d
Tameka :
Pages read, p = (pages read per day * Number of days, d) + pages read already
P = 5d + 15
The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
[tex]\\P=6d[/tex]
[tex]P=5d+15[/tex]
What is the system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Two students are reading a book. Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,
[tex]P=6\times d\\P=6d[/tex]
Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,
[tex]P=5\times d+15\\P=5d+15[/tex]
Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
[tex]\\P=6d[/tex]
[tex]P=5d+15[/tex]
Learn more about the system of equations here;
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evaluate. (5.2 + 3) × (6.4 - 1.4)
Answers
Hope this helps ^W^
Hi , I have geometric question
What is x angel ?
Answers
Find the product
(4)(-11) =
Answers
Answer:
4 X -11
-44
plz mark as brainliest
Answer:
-44
Step-by-step explanation:
Basically It's like 4x11, but you put a negative sign.
WILL MARK YOU BRAINLIEST
Answers
I need this answered!
Simplify the following expression:
5s + 72 - 6
use s = -8 and z = -3
I Record your answer in this box:
Answers
Answer:
I believe its -82
Step-by-step explanation:
5 × -8 + 7 × -3 = -82
BRAINLIEST! URGENT! If you answer both and leave an explanation, I will mark you brainliest!
Answers
You just had dinner at your favorite restaurant. The total bill is $63.50 not including tax. What would your total be if you left a 15% tip and the sales tax of 9.5%?
Answers
15% of 63.50=9.525
9.5% of 63.50=6.0325
9.525+6.0325=15.5575
63.50+15.5575=79.0575
79.0575 rounds to 79.06
so $79.06
Because 63.5*0.15=9.525 and 63.5*0.095=6.0325. 9.525+6.0325=15.5575.
63.50+15.5575=79.0575 or $79.05
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answers
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
Find the inverse of the function f(x) = 2x - 4.
Answers
Answer:
f⁻¹(x) = 1/2 x + 2
Step-by-step explanation:
f(x) = 2x - 4 y=2x - 4
swap x and y: x = 2y - 4
solve y: 2y = x + 4
y = 1/2 x + 2
Inverse notation: f⁻¹(x) = 1/2 x + 2
36 ft
27 ft
What is the length of the hypotenuse?
C
feet
Answers
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
Have a great day!!
Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
72/6=12
64/4=16
..please help someone, im begging you. theres two screenshots i took bc its either a, b, c, or d
Answers
Answer:
It's C
Step-by-step explanation:
Fill in the next number in the list. .
3, 4, 6, 9, 13, 18,
Answers
Answer:
Next is 18+6=24
...
..
..
...
.
Answer:
uh... Are you counting by 2's? If so, it should be 2,4,6,8,10,12,14 and so on.
Step-by-step explanation:
Order these fractions from least to greatest 6/8, 3/8, 5/8
Answers
Answer:
3/8, 6/8, 5/8
Step-by-step explanation:
that is the right answer
Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals
Answers
A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?
Answers
Answer:
Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed
parker was able to pay 56% of his tuition with his scholarship .The remaining $6,057.35 he paid for with a student loan . What was the cost of parkers tuition ?
Answers
Answer:
$13,766.70
Step-by-step explanation:
Since he paid 56% with the scholarship, that means $6,057.35 is 44% of the total tuition
To find the total cost of tuition, divide 6,057.35 by 0.44
6,057.35/0.44
= 13766.70
So, the cost of Parker's tuition was $13766.70
The graph shows how a motorboat travels around a lake. What does the graph most likely show?
Answers
The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.
Option D is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
The x-axis can be assumed as 10 minutes for each unit.
Now,
From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.
From x = 10, the line on the graph is horizontal this means, the speed is constant.
Thus,
The speed of the boat increases steadily for 10 minutes and travels at a constant speed.
Learn more about speed here:
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*
6. Determine the Rate of Change in the graph below.
Answers
Answer: slope is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change
3(x + 2) = 2x + 14
How many solutions
Answers
Answer:
I solution; x=8
Step-by-step explanation:
You have to solve for x by simplifying both sides of the equation and then isolating the variable
3(x+2)= 2x+14
Distributive Property
3x+6=2x+14
Isolate the variable
3x+6-6=2x+14-6 which is 3x=2x+8
3x-2x=2x-2x+8
x=8
please help me . weak in here
Answers
9514 1404 393
Answer:
x = 10√3
Step-by-step explanation:
The Pythagorean theorem tells you ...
FB^2 = BC^2 +CF^2
FA^2 = FB^2 +BA^2
Substituting for FB^2, we have ...
FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2
FA^2 = 3x^2
FA = x√3 = 30 . . . . take the square root and substitute for FA
x = 30/√3
x = 10√3
There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?
Answers
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520