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
Answers
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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Answer:
A, C, D, and F are the rational numbers.
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Rational B,D,J,k
Integers G
Whole E,G
IRRATIONAL A,C,F,h,I,L
Step-by-step explaining
Whole number is just numbers but with a zero for example 0,1,2,3,4,5,6,……….
Natural number is just like the whole number but without the zero . For example 1,2,3,4,5,6,…..
Integers, The set of integer is all the whole numbers and their opposite for example -3 -2 -1,0,1,2,
Irrational : non- terminating , non-repeating decimal
Can’t be written as a ratio
For example pie , 3.7685922331
Rational can be written as a ratio like fraction
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The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is 1 and d is the difference, which in this sequence the next term is found by adding 2 to the previous term, so d = 2 and n is the term you want to find.
The equation is:
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a square vegetable garden has side lengths of 12 feet. You plant flowers in the center portion as shown. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the onion section?
Answers
Given :-
A square vegetable garden has side lengths of 12 feet.
You plant flowers in the center portion of the garden,a square that has side lengths of 4 feet.
You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers.
To Find :-
What is the area of the onion section ?
Solution :-
Given that,
→ side of square vegetable garden is = 12 feet .
So ,
→ Area of square vegetable garden = (side)² = (12)² = 144 feet².
Now, given that, inside this area, there is a square of side 4 feet reserved for flowers .
So,
→ The area of the flower section = (side)² = (4)² = 16 feet².
Therefore,
→ The rest of the garden that is intended for vegetables is = The total garden area - The flower section area = 144 - 16 = 128 feet².
Now, this remaining area is to be divided in four equal sections .
So,
→ The area of the onion section = (1/4) of remaining area = (1/4) * 128 = 32 feet². (Ans.)
Hence, The area of the onion section is 32 feet².
Learn more :-)
I originally got this answer from RvChaudharY50, so go support them too!
https://brainly.in/question/25103306?tbs_match=2
would you like me to explain?
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-
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simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step
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Answer:
0
Step-by-step explanation:
3x0+2x0-4x0+5x0
0
Please help me! I will give brainly!
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Answer:
8
Step-by-step explanation:
You multiply the candies sold, by 8 to get the money raised.
10 times 8 is 80.
20 times 8 is 160
30 times 8 is 240
And so on.
I hope this helps!
pls ❤ and give brainliest pls
Divide money raised by candles sold:
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160/20 = 8
Etc.
Each candle cost $8
You would multiply the number of candles sold by $8 to find the amount of money raised.
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Answers
Answer:
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Step-by-step explanation:
if she can answer 50 in 20 mins then that means she is answering 2.5 questions in 1 min and then you must multiply 2.5 by the number of mins she has making it
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36 x 2.5= 90
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hope that helps!
the diagonal of a square has a length of 10. what is the area of the square?
Answers
Answer:
50
Step-by-step explanation:
Diagonal of square = 10
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45-45-90 triangle
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Answers
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Decimal form:
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Mixed number form:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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There are no mistakes.
Step-by-step explanation:
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I will put brainlyness answer please help me I really need it ASAP
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Hope I helped
