If I clapped someone 11 - 0 in a Rocket League match (which I did), and the matches are 5 minutes long (which they are), what is the average time that it took me to score 1 goal against the kid who got clapped by me.

Answers

Answer 1

you get a point every 27.3 seconds

Answer 2

Answer:

2.2            i think

Step-by-step explanation:


Related Questions

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

PLZ HELP!!! Use limits to evaluate the integral.

PLZ HELP!!! Use limits to evaluate the integral.

Answers

Split up the interval [0, 2] into n equally spaced subintervals:

\(\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]\)

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

\(r_i=\dfrac{2i}n\)

where \(1\le i\le n\). Each interval has length \(\Delta x_i=\frac{2-0}n=\frac2n\).

At these sampling points, the function takes on values of

\(f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}\)

We approximate the integral with the Riemann sum:

\(\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3\)

Recall that

\(\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4\)

so that the sum reduces to

\(\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}\)

Take the limit as n approaches infinity, and the Riemann sum converges to the value of the integral:

\(\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}\)

Just to check:

\(\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28\)

What is the slope of the line represented by the equation f(x) = 3/2x - 4?
A. -4

B. -3/2

C. 3/2

D. 4

Answers

Step-by-step explanation:

I got C

What is the y-intercept of this graph?

A.0
B.2
C.4
D.8

What is the y-intercept of this graph?A.0B.2C.4D.8

Answers

A. 0 since the line goes through (0,0)

Answer:

A) 0

Step-by-step explanation:

If the line keeps going it will never hit y

Can somebody answer this?

Can somebody answer this?

Answers

Answer:

-5

-3

-2

0

1

Step-by-step explanation:

just put the number they give you for x and solve and the answer you get is the answer for y

Answer:

Step-by-step explanation:

Given the slope-intercept form:\(y=\frac{1}{3}x-2\)

Slope-intercept form: \(y=mx+b\)

We substitute our x-values (-9, -3, 0, 6, and 9) for x in \(y=\frac{1}{3}x-2\) to find the y-values.

For -9:

\(y=\frac{1}{3}x-2 < ==substitute\ -9\ for\ x\\\\y=\frac{1}{3}(-9)-2\\\\y=\frac{-9}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=-3-2 < ==add\ or\ subtract\\\\y=-5 < =value\ of\ y\\\\(-9,-5)\)

For -3:

\(y=\frac{1}{3}x-2 < ==substitute\ -3\ for\ x\\\\y=\frac{1}{3}(-3)-2\\\\y=\frac{-3}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=-1-2 < ==add\ or\ subtract\\\\y=-3 < =value\ of\ y\\\\(-3,-3)\)

For 0:

\(y=\frac{1}{3}x-2 < ==substitute\ 0\ for\ x\\\\y=\frac{1}{3}(0)-2 < ==any\ number\ multiplied\ by\ 0\ equals\ zero\\\\y=\frac{0}{3}-2 < ==divide\ (don't\ forget\ the\ signs)-zero\ divided\ by\ any\ \#\ equals\ 0\\\\y=0-2 < ==add\ or\ subtract\\\\y=-2 < =value\ of\ y\\\\(0,-2)\)

For 6:

\(y=\frac{1}{3}x-2 < ==substitute\ 6\ for\ x\\\\y=\frac{1}{3}(6)-2\\\\y=\frac{6}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=2-2 < ==add\ or\ subtract\\\\y=0 < =value\ of\ y\\\\(6,0)\)

For 9:

\(y=\frac{1}{3}x-2 < ==substitute\ 9\ for\ x\\\\y=\frac{1}{3}(9)-2\\\\y=\frac{9}{3}-2 < ==divide\ (don't\ forget\ the\ signs)\\\\y=3-2 < ==add\ or\ subtract\\\\y=1 < =value\ of\ y\\\\(9,1)\)

*View the attached graph to verify these answers*

Hope this helps!

Can somebody answer this?

Simplify this answer please

Simplify this answer please

Answers

Multiply the like terms
9 . 13 = 117
x^12 . x^2 = x^14 (add the powers)
y^3 . y^2 = y^5 (add the powers)

Answer: 117 x^14 y^5
22x15y5 is the answer simplified

I need help with these two questions. (make the word sentences into a inequality)

1. the sum of a number and 1 is at least 5 (change into a inequality)
2. A tropical depression has maximum sustained winds of less than 39 miles per hour. write an inequality showing the wind speeds

Answers

1 is 57
2 is 27 this is all I have

Answer:

!. -15 i think im not sure

2. 39

Step-by-step explanation:

Suppose a certain breed of dog loses about 75 hairs per day. What integer represent this change in the amount of hair per week write a mathematical argument that can be used to defend your solution

Answers

Answer:

75 hairs/ day =  525 hairs / week

Step-by-step explanation:

so your base question for this is 75 hairs/ day =? h/ week. how? if the dog is losing 75 hairs per day, then you would do 75 x 7 becuase there are 7 days in a week. the answer to that would give you how many hairs the dog was losing per week. (see attached image for reference)

Hope this helps!

#MRS

Suppose a certain breed of dog loses about 75 hairs per day. What integer represent this change in the
75x7 is the amount which is 525 hairs per week.

Can someone answer this?

I’ll give Brainliest if you explain how you got the answer.


20 points?

Only questions C and D need to be answered

Can someone answer this? Ill give Brainliest if you explain how you got the answer.20 points?Only questions

Answers

Explanation:

C. Perimeter of Trapezium

= sum of all sides

=  8 + 4 + 4 + 6

= 22

D. Area of Trapezium

= 1/2 × (a + b) × height

= 1/2 × (8 + 6) × √15

= 7√15

E. Perimeter of square

= 4(side)

= 4(5)

= 20

F. Area of square

= side × side

= 5 × 5

= 25

I. Answer

The area will be 4 times more than the current area of about 64 units².

side² = 16

side = √16

side = 4

If the side is doubled, new side = 4 × 2 = 8

New Area: 8² = 64 units²

C. Area=22cm
All the sides added together


Equation for area of trapezium=1/2(a+b)h
8+6=14/2=7
7•15=105
105+7=112
D=112cm squared


Three research departments have 8 ,10 , and 7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?

Answers

We can conclude that exists 211680 ways.

How many ways can this be done?

We know that the three research department is have 8, 10, and 7 members.

We choose a delegate and an alternate to represent the department.

First case: department have 8 members.

So, for a delegate, we have 8 options, and for a alternate 7, so a total of

\(8 \times 7 = 56 \ \text{options}\)

Second case: department have 10 members.

So, for a delegate, we have 10 options, and for a alternate 9, so a total of

\(10\times 9 =90 \ \text{options}\)

Third case: department have 7 members.

So, for a delegate, we have 7 options, and for a alternate 6, so a total of

\(7\times6 = 42 \ \text{options}\)

Therefore, we get:

\(56 \times 90 \times 42 = \bold{211680}\)

Hence, we conclude that exists 211680 ways.

For a similar problem about this, please click the link below:

https://brainly.com/question/30958797

To determine the number of ways to select a delegate and an alternate from each department, we can multiply the number of choices for each department together.

For the first department with 8 members, there are 8 choices for selecting a delegate. After choosing a delegate, there remain 7 members, so there are 7 choices for selecting an alternate. Therefore, there are 8 × 7 = 56 ways to select a delegate and an alternate from the first department.

Similarly, for the second department with 10 members, there are 10 choices for selecting a delegate and 9 choices for selecting an alternate. Hence, there are 10 × 9 = 90 ways to select a delegate and an alternate from the second department.

For the third department with 7 members, there are 7 choices for selecting a delegate and 6 choices for selecting an alternate. Thus, there are 7 × 6 = 42 ways to select a delegate and an alternate from the third department.

To find the total number of ways to select delegates and alternates from all three departments, we multiply the number of choices for each department together:
56 × 90 × 42 = 211,680.

Therefore, there are 211,680 ways to select a delegate and an alternate from each department.

christopher places an order for 48 dozen cookies to bring to his family holiday party. his family eats 2/3 of the cookies, how many cookies are left over?

Answers

Answer:

16 cookies are left.

Step-by-step explanation

2/3 of 48 is 32

48-32=16

16 Cookies left.
2/3 of 48 is 32.
48-32=16

Paddling with the current, a group of kayakers traveled 9 miles in 2 hours. Paddling back, they traveled 4 miles in the same amount of time. What was the speed of the current and the speed of the kayakers in still water?
Please do not answer 3.25 and 1.25 they are incorrect.

Answers

Answer: the speed of the current is 5 miles an hour

Step-by-step explanation:

9-4=5

Answer: 5 miles an hour

Answer needed by 1:20pm (does anyone know how to find all answers to IXL Y.11???)

Answer needed by 1:20pm (does anyone know how to find all answers to IXL Y.11???)

Answers

Answer:

91ft^2

Step-by-step explanation:

A = w*l

first, solve for the bottom rectangle

w = 7ft

l = 8ft

7ft * 8ft = 56ft^2

then for the second rectangle

l = 5ft

w = 7ft

5ft*7ft = 35ft^2

total area = rectangle 1+2

so 35ft^2+56ft^2=91ft^2

Answer:

The answer for the Area of the shape is 91ft²

Step-by-step explanation:

Area of the shape =Area of Bigger rectangle+ Area of small rectangle

A=L×B+l×b

A=7×8+5×7

A=56+35

A=91ft²

If your phone battery goes down by 4.58% every 10 minutes, how much has it gone down in 50 minutes?

Answer as a decimal. Round to the nearest 100th.

Answers

Answer:

22.9

Step-by-step explanation:

4.58 drops every 10 minutes

What would happen if it dropped 50 minutes

4.58x5 = 22.9

Answer:

22.9

Step-by-step explanation:

4.58x5 = 22.9

It’s the end of the season, so softball bats are on clearance for an additional 30% off the sales price. Finley finds one in her size: It was originally $70.00, but is marked down to $50.00. How much will the bat cost Finley on clearance?

Answers

The bat costs $50 but on clearance, it is an additional 30% off.

50 - (50x.3) = x
50 - 15 = x
35 = x
The sale price of the bat is $35.

The requried, bat will cost Finley $35.00 on clearance with an additional 30% off discount.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The bat is marked down to $50.00, but with an additional 30% off clearance discount, the final price that Finley will pay is,

Final price = $50.00 - (30% of $50.00)

To calculate the discount, we first need to find 30% of $50.00, which is:

0.30 × $50.00 = $15.00

So the discount is $15.00.

Substituting this value into the equation, we get:

Final price = $50.00 - $15.00 = $35.00

Therefore, the bat will cost Finley $35.00 on clearance with an additional 30% off discount.

Learn more about percentages here:

https://brainly.com/question/12482056

#SPJ2

show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.

Answers

An isosceles triangle has 2 sides that are equal.

I plotted these points. See attached screenshot.

The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.

The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.

These two sides make a right triangle and are equal length. This is an isosceles right triangle.

show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.

what is 30-5 ( 6+3) 3 power of 22


If you help brainliest

Answers

Answer:

35 ig it is correct i tried my best

Step-by-step explanation:

the answer is 35 :)))




goood luckkk

I will give brainliest PLEASE HELP
Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She originally planned for the length of the actual courtyard to be 54 feet, but she decided to change it to 72 feet. If the length of the courtyard is 18 inches in her scale drawing, which statement about the change of scale is true?

One inch represented 1 foot in the first scale, but now 1 inch represents 4 feet in the second scale.
One inch represented 4 feet in the first scale, but now 1 inch represents 3 feet in the second scale.
One inch represented 54 feet in the first scale, but now 1 inch represents 72 feet in the second scale.
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.

Answers

Answer:

scale 1-1in=3ft

scale 2-1in=4ft

Answer:

Step-by-step explanation:

I feel like its C

English is the predominant language spoken in Chile. Question 1 options: True False

whoever answers first gets the crown

Answers

Answer: The answer is false!

Step-by-step explanation: You may think its true but NO, its not true!

Answer: false

Step-by-step explanation:

the correct answer is a dialect of spanish, chilean spanish.

Please help i’ll give brainliest!

For which set of data are the median and mode the same number?

A. 4, 5, 7, 7, 8, 10
B. 3, 5, 6, 8, 8, 9
C. 5, 5, 6, 8, 9, 10
D. 4, 5, 7, 8, 9, 9

Answers

Answer: A

Step-by-step explanation:

median: 7+7=14

14/2=7✅

mode: 7 shows up the most (twice)

I will have to say as I the first person that is on top of my comment the answer is A

NEED HELP ASAP Match each set of information about a circle with the area of that circle.

Drag and drop the card to match the information.

NEED HELP ASAP Match each set of information about a circle with the area of that circle.Drag and drop

Answers

Answer:

the first one is A The second on C the third one D and last one B

Step-by-step explanation:

1.A
2.C
3.D
4.D

Hope this helps

PLS HELP WORTH 35 POINTS!!
in wich of the tables are x and y inversely proportional
A
x=1,2,3,4
y=6,3,2,1.5
B
x=2,3,5,7
y=7.5,5,3,2
C
x=1,3,4,24
y=24,8,6,1
D:
x=0.1,0.3,25,100
y=200,40,0.8,0.2

Answers

Answer:

A, C

Step-by-step explanation:

If it is inversely proportional then y = k/x

Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)

A.

6 = k/1 (k=6)

3 = k/2 (k=6)

2 = k/3 (k=6)

1.5 = k/4 (k=6)

Yes! It's the same everywhere so this is correct!

B.

7.5 = k/2 (k=15)

5 = k/3 (k=15)

3 = k/5 (k=15)

2 = k/7 (k=14)

For the last one k is not the same so nope. It is wrong.

C.

24 = k/1 (k=24)

8 = k/3 (k=24)

k = 6×4 = 24

k = 24×1 = 24

This is correct too.

D.

k = 0.1×200 = 20

k = 0.3×40 = 12

k = 0.8 × 25 = 20

We can already see that k is not the same everywhere.

Only A and C, x and y are inversely proportional for all of the values

Answer: c

Step-by-step explanation:

Ellison wants to purchase a backpack for $76. The tax in his area is 7%. What would his total cost be?

Answers

Answer:

The cost is $81.32

Step-by-step explanation:

Answer: $81.32

Step-by-step explanation:

Please explain your answer :D
don’t answer if you will not provide an explanation please :”)

Please explain your answer :Ddont answer if you will not provide an explanation please :)

Answers

Answer:

Step-by-step explanation:

QUESTION 7:

We are trying to find angles 1 and 2.

Known angle: 107˚.

In this question, we have 2 parallel lines with a transversal. A transversal is a line that passes through 2 parallel lines making it so that the angles on both sides are exactly the same.

Step 1: Find the measures of all the angles using the one we already know.

I will start with the angle adjacent (right next to) the angle that measures 107˚. As you can see, it is a supplementary angle because both of them form a straight line, or 180˚.

Therefore,

107+x= 180

x= 180-107

x= 73˚

Next, I will find the measure of the angle that is vertical to the one that measures 107˚. Note that angles that are vertical to each other are always identical, or in other words they have the same measure. Hence, the angle "vertical", or opposite to the one that measures 107˚ has to measure 107˚ as well.  You can also tell this is true because they look the same.

Now I'll find the measure of the angle vertical to the one that measures 73˚. As we know, vertical angles are identical, so the one vertical to it is 73˚.  

Here, I'll solve for angles 1 and 2. Like I said earlier, when a transversal crosses through 2 parallel lines, there will be 2 sets of angles that all have the same measurements.  

To solve for angle 1, simply know what angle is right below it, and that is the one that measures 107˚. (If you look at the 2 lines, you will see that both angle sets are essentially duplicates of each other.) Likewise, angle 2 has to be 73˚ because the one under it is also 73˚.

Angle 1: 107˚

Angle 2: 73˚

QUESTION 8:

Again, we have a transversal that passes through 2 parallel lines. One angle measures 95˚.  When there are 3 seperate angles along a straight line,  the one next to the one with the given measurement will be the same as that one.

So angle 3 is 95˚. To find angle 4, find the angle measurement that's vertical to angle 3, which is 95˚. Now, since that angle and angle 4 are supplementary (both form a straight line which is always 180˚), 95+x= 180.

(x stands for angle 4)

x+95= 180

x= 180-95

x= 85

Angle 4= 85˚.

QUESTION 9:

ANGLE 5: 49˚

When there is a transversal, there are 2 identical pairs of angles. Therefore, angle 5 must be 49˚.

ANGLE 6: 131˚

angle 5 and angle 6 form a straight line which means they are supplementary angles. Therefore, both angles must add up to 180˚. So 49+x= 180

x= 180-49= 131

(x stands for angle 6)

Hope this helps!! Also I worked pretty hard on this so brainliest would be appreciated :D

Practice problems if it helps :) : https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_1

Please explain your answer :Ddont answer if you will not provide an explanation please :)
You can find 1 becuase it is the same angle as the one below it, so 1 is 107 degrees and 3 is 73 degrees becuase one line is 180 degrees and 1 and 2 together make a line so I just subtracted 107 from 180

1.Let k be a positive real number. The line x + y = k and the circle x^2 + y^2 = k are drawn. Find k so that the line is tangent to the circle.

2.Let A = (6,2), and let B be the reflection of A over the line y = 1/2x + 5. Find the coordinates of B

Answers

1. The line x + y = k has a slope of -1. Therefore, the line perpendicular to it that passes through the center of the circle x^2 + y^2 = k has a slope of 1. The center of the circle is (0, 0), so the equation of the line perpendicular to x + y = k that passes through (0, 0) is y = x. Solving the system of equations x + y = k and x^2 + y^2 = k, we get two solutions: (k/2, k/2) and (-k/2, -k/2). Since the line y = x is tangent to the circle at (k/2, k/2), we have k/2 + k/2 = k, which gives k = 2.

2. The line y = 1/2x + 5 has slope 1/2, so the line perpendicular to it that passes through A = (6, 2) has slope -2. The equation of this line is y - 2 = -2(x - 6), which simplifies to y = -2x + 14. To find the reflection B of A over the line y = 1/2x + 5, we need to find the intersection of the line y = -2x + 14 and the perpendicular bisector of the segment AB. The midpoint of AB is ((6 + x)/2, (2 + y)/2), and the slope of AB is (y - 2)/(x - 6). Therefore, the slope of the perpendicular bisector of AB is -1/(y - 2)/(x - 6), which simplifies to (6 - x)/(y - 2). The equation of the perpendicular bisector of AB is y - (2 + y)/2 = (6 - x)/(y - 2)(x - 6)(x - (6 + x)/2) + (2 + y)/2. Solving the system of equations y = -2x + 14 and y - (2 + y)/2 = (6 - x)/(y - 2)(x - 6)(x - (6 + x)/2) + (2 + y)/2, we get B = (5, 8). Therefore, the coordinates of B are (5, 8).
It’s correct! Try it

Jaha has designed a rocket. She determines the initial velocity of her rocket is 36 meters per second. She uses the function h(t) = - 9.8t ^ 2 + 36t to find the height, h(t) based on time, t, in seconds. Jana wants to know approximately when her rocket will be at the following heights:
24 Meters
36 Meters

Answers

To find when the rocket will be at a certain height, we can set the equation for height, h(t), equal to the given height and solve for t.

For 24 meters:

-9.8t^2 + 36t = 24

-9.8t^2 + 36t - 24 = 0

We can solve for t using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -9.8, b = 36, and c = -24. Plugging in these values, we get:

t = (-36 ± sqrt(36^2 - 4(-9.8)(-24))) / 2(-9.8)

t ≈ 1.87 seconds or t ≈ 3.14 seconds

So the rocket will be at a height of 24 meters approximately 1.87 seconds after launch and again approximately 3.14 seconds after launch.

For 36 meters:

-9.8t^2 + 36t = 36

-9.8t^2 + 36t - 36 = 0

Using the quadratic formula again, we get:

t = (-36 ± sqrt(36^2 - 4(-9.8)(-36))) / 2(-9.8)

t ≈ 1.16 seconds or t ≈ 3.66 seconds

So the rocket will be at a height of 36 meters approximately 1.16 seconds after launch and again approximately 3.66 seconds after launch.

What is $400 at 3% for 5 years?

A. Find interest earned
B. Find the balance of the account

Answers

The interest earned is $60 and the balance of the account is $460. The interest and the balance of the account will be both calculated with their given formulas.

An expense or payment for using borrowed money is interest; it is occasionally stated as a percentage of the principal borrowed. It could also be applied to the returns on investments or savings. Interest is the cost that a borrower typically reimburses a lender for the use of their funds.

A. We must use the formula-

Interest = Principal x Rate x Time, to calculate the interest earned.

Here, Interest = $400 divided by 0.03 and multiplied by 5.

Earned interest is $60.

B. We must utilize the formula-

Balance = Principal + Interest, to determine the account's balance.

Balance = $400 + computed interest in this instance.

Balance: $400 + $60.

The account's balance is $460.

To know more about interest:

https://brainly.com/question/29451175

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20 square inches.​

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a

Answers

Answer:

          /\

\(\sqrt{20}\) /     \\(\sqrt{20}\)

     /         \

     \         /

\(\sqrt{20}\)  \     / \(\sqrt{20}\)

          \/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

Show me 2 ways to show 4(5-3)

Answers

U can graph it but also can use units to be drawn to show desperate

Answer:

4(5-3) can be written some ways like this

2*4

(5-3)4

(6-4)*4

x=4*(12-10)

I would solve 4(5-3) using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

4*(5-3)

4*(2)

4*2

8

Step-by-step explanation:

Hope this helps! BH

which ordered pairs are in the solution set of the system of linear inequalities

y> -1/2x

y< 1/2x + 1


A (5,-2),(3,1),(-4,2)

B (5,-2),(3,-1),(4,-3)

C (5,-2),(3,1),(4,2)

D (5,-2),(-3,1),(4,2)

Answers

im pretty sure the answer is c

The ordered pair which is the solution to the linear equations is given by relation S = ( 5 , -2 ) , ( 3 , 1 ) , ( 4 , 2 )

What are Linear Equations?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

y > -1/2x   be equation (1)

y < 1/2x + 1   be equation (2)

Now , on simplifying , we get

Let the ordered pairs be A ( 5 , -2 ) , B ( 3 , 1 ) and C ( 4 , 2 )

when x = 5 and y = -2

-2 > ( -1/2 )5

-2 > -2.5

And , -2 < ( 1/2 )(5) + 1

-2 < 3.5

Therefore , the inequality is true

when x = 3 and y = 1

1 > ( -1/2 )3

1 > -1.5

And , 1 < ( 1/2 )(3) + 1

1 < 2.5

Therefore , the inequality is true

when x = 4 and y = 2

2 > ( -1/2 ) ( 4 )

2 > -2

And , 2 < ( 1/2 ) ( 4 ) + 1

2 < 3

Therefore , the inequality is true

Hence , the solution to the linear inequality are ( 5 , -2 ) , ( 3 , 1 ) , ( 4 , 2 )

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