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.
5x-y>-3
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the 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 ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
linear inequality in the coordinate plane.
[tex]5x-y > -3[/tex]
which can be written as
-y > -3 -5x
y < 3 + 5x ( standard way to express inequality )
Now , to get the points for graph the inequality
We will treat inequality as equation
y = 3 + 5x
x y
0 3
1 8
-1 -2
-0.6 0
Now,
As per rule of graph the inequality
The boundary line is dashed for > and <
and If the symbol ≤ or < is used shade below the line.
Therefore , graph the inequality is plotted accordingly .
Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
To know more about graph the inequality here:
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What is the slope of the graph of y = -3x?
-1/3
1/3
-3
3
Answer:
Slope is -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -3x
↓ Compare to y = mx + b
Slope m = -3
y-intercept b = 0
Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Answer:
17.5
Step-by-step explanation:
Half 37
Put into decimal
Answer:
Step-by-step explanation:
If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.
Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)
[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
solve the following problem as a percent equation: 36 is 80% of what number?
Answer:
45
Step-by-step explanation:
80%= 4/5
36 = 4/5 * ?
Take 4/5 on the other side and flip it
36 * 5/4 = ?
45=?
Which fractions are equivalent to 40%? Check all that apply.
StartFraction 8 Over 100 EndFraction
Two-fifths
StartFraction 8 Over 20 EndFraction
StartFraction 4 Over 10 EndFraction
StartFraction 16 Over 40 EndFraction
btw: its a multiple choice question
question down below: 50 points
Answer:
10/13, 2/3, 7/11, 3/5, 5/9
Step-by-step explanation:
5/9 , 7/11, 3/5, 2/3, 10/13
Changing to decimal form
.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769
The largest is 10/13
Then 2/3
Then 7/11
Then 3/5
The smallest is 5/9
Help me Guess just help please
Answer:
26
is it direct or step by step?
help. . . . . . . . . . .
Answer:
I belive the slope will equate to 3/1 x
Step-by-step explanation:
help please i will give a brainist
Answer:
4 apples/ second
28800 apples in 2 hours
Step-by-step explanation:
20 apples / 5 seconds
Divide the top and bottom by 5
4 apples/ second
A few hours is 2 or 3
There are 3600 seconds in 1 hour
4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour
14400 apples/ hour
14400apples / hour * 2 hours
28800 apples in 2 hours
Answer:
4 apples per second; about 14400-43200 apples
Step-by-step explanation:
First, to find the unit rate, you need to divide the number of apples with the number of seconds...
20/5= 4 apples per second
Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...
(4)(3600) = 14400 apples
(4)(10800) = 43200 apples
And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)
Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
The unit rate of change of d with respect to t is 8/3
How to graph the line?The statement is given as:
increase of 3 units in t corresponds to an increase of 8 units in d.
This can be represented using the following ratio
t : d = 3 : 8
Express as fraction
t/d = 3/8
See attachment for the graph of t/d = 3/8
The unit rateIn (a), we have:
t/d = 3/8
Inverse both sides
d/t = 8/3
This means that:
Slope or Rate = 8/3
Hence, the unit rate of change of d with respect to t is 8/3
Read more about linear functions at:
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A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate
I)the length of the minor
Ii)Perimeter of the sector
Iii)the area of the sector[take pi =22/7
Answer:
c
Step-by-step explanation:
the perimeter of the sector
Answer:
Sorry dont know :(
Step-by-step explanation:
HELP HELP HEL[P HELP HELP HELP HELP
sorry about the wrong file
write the answer in the comments section
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Please help thx and will mark as brainliest if you do it correct!
Please help me with this question. will give brainliest I need this by today pleaseeeeeee its an assignment
Answer:
i would say 7
Step-by-step explanation:
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
Plsss help I will give brainliest!!!!
Answer:
ans is 4 I am dam sure please like me ,
Answer:
I think 4 is the answer
have a great day
God bless you
Always be happy
Never be sad
Sad is bad you
Know that
please brainlist
Mrslenbox
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:
1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)
Answer:
-4 -6 2 -2x 3-4x 2x-3
Step-by-step explanation:
3 - 7= -4 (7 is larger so we get - sign)
-4-2=-6(we add "-" terms but they have the - sign)
-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)
x-3x=-2x(3x is larger)
3-4x=3-4x(Unlike Terms)
-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)
If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)
Answer:
-20/343
Step-by-step explanation:
Please check the image below for more info on the question
Answer:
The answer is A
Step-by-step explanation:
(I'm not 100% sure though, hope this helps.)
1/3(3x-6)=2x please help
Answer:
-2
Step-by-step explanation:
In the picture
Answer:
x = -2
Step-by-step explanation:
1/3(3x - 6) = 2x
3x - 6 / 3 = 2x
9x - 6 = 6x
3x = -6
x = -2
So sorry I really need help
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
Complete the following sentences based on the graph of the function.
Answer:
1) Decreases
2) not constant
3) non-linear
4) >
5) 8
6) 5
OAmalOHopeO
Picture below maths :
Step-by-step explanation:
f(g(x))= f(2x)
f(g(x))=3+cos2x
g(f(x))=g(3+cosx)
g(f(x))=2(3+cosx)
g(f(x))=6+2cosx
where,
f(g(x))=g(f(x))
3+cos2x=6+2cosx
2cosx-cos2x+6-3=0
2cosx-cos2x+3=0
x=2pi n1+pi
n1€ z
write an equation that equals 6 that isnt basic addition, subtraction, multiplcation, or division
Answer:
(3² - 3) + (0x 2)
Step-by-step explanation
Please help I suck at math
Answer: 12
Step-by-step explanation:
Find the difference between the first and second points.
Since the x-coordinates are the ones changing, find the difference between them.
2 - (-3)
= 5
Then find the distance between the second and the third points.
Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.
2-(-5)
=7
Now add the distances (5+7) and you get 12.
hope this helps!!:)
please give an answer you know is right- need answer right now!!
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation: