When graphing inequalities, where can the solutions be found?
Answers
Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.
When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.
For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.
Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.
It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
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Related Questions
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answers
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
Step-by-step explanation:
An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the width of the rectangular prism die be represented by x.
Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,
Width = x
Length = x + 5
Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,
Volume = Length × Width × Height
252 = (x + 5) × x × 3
252 = 3x(x+5)
252 = 3x² + 15x
3x² + 15x - 252 = 0
Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
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What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Answers
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answers
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
n(A)=10
n(B) = 12
n(AUB) = ?
Answers
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
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Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
3. What problems would you encounter if the ladder were too short or too long? (1 point)
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If the ladder was too short you wouldn’t be able to get to the place you need the ladder for. If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go. Hope this helps :p
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
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PLEASE THESE 2 HELPPPPPPPPPPPP
Answers
Answer:
c and g
Step-by-step explanation:
chemical formula for lithium bromide
Answers
Answer:
The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.
Step-by-step explanation:
hope this helped:)
Answer:
lithium bromide is a chemical compound of lithium and bromine
Step-by-step explanation:
Br-Li+
Convert 21.3 feet per minute to yards per minute.
Answers
Answer:
7.1 yard per min
Step-by-step explanation:
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?
Answers
Answer:
37.2 = 38
Step-by-step explanation:
After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.
Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?
2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi
Answers
Answer:
it would be 5:2
Step-by-step explanation:
none of these are equivalent to the ratio and 2:5 would be 2 to 5
Answer:
5:2
Step-by-step explanation:
what the slope of(12,7) (5,9)
Answers
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.
Answers
Answer:
No because it does no pass the vertical line test
Step-by-step explanation:
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answers
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
Find the slope of the following graph and Identify the type of
Slope:
Answers
Answer:
undefined
Step-by-step explanation:
Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."
2/18 x 16
answer fast !!!!!!!!!!!!!!
Answers
12/6
6/3
Answer is 2 :/
Find an equation of the circle that has center (-1,6) and passes through (-6,1)
Answers
Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
How do you solve n=17
Answers
Answer:
uhm chile anyways
Step-by-step explanation:
i just want points lol
3 pounds of peanuts for 7.50 how much per pound?
Answers
Answer:
$2.50
Step-by-step explanation
7.50 divided by 3 is 2.50
Answer:
$2.50 per pound
Step-by-step explanation:
7.50/3
$2.50
For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST
Answers
Answer:
Step-by-step explanation:
Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.
Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)
Triangle C - Equilateral triangle because all the sides are equal.
Triangle D - Scalene triangle because all the sides have different lengths.
What is the gcf of 51 and 3
Answers
Answer:
3
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3So the greatest number of both is 3
Hope this helps
Evaluate -9x-2 when x =-4
Answers
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
(Urgent please help!!!) Maria earned $5,250; $4,800; $3,990 and $5,120 from her home business during the last four months. What was her average monthly income during this period?
Answers
19160 / 4 = $4,790 average monthly income
NEED ASAP . Plz help
Answers
1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997
Answers
Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
June 7, 1979, is the earliest date. Option A is correct.
How to represent the date?The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.
Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.
The earliest date is June 7, 1979.
Hence option A is correct.
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interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answers
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answers
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 10) degrees. At the intersection of lines b and f, the bottom left angle is (3 x minus 15) degrees. What is the value of x? 1 5 25 37
Answers
Answer:
The Answer would be C
Step-by-step explanation:
Answer: It is C. 25
Step-by-step explanation:
on edge 2020
Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?
Write the equation
Solve for the number of hours
Answers
Answer:
the answer is 8
Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours
A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?
Answers
Answer:
H
Step-by-step explanation:
24 x 1 1/4