Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.

Answers

Answer 1

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriate

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graph

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Courtney's solution is x < -4, which is not an appropriate solution to the given graph

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Diana's solution is an appropriate solution to the given graph

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Learn more here:

https://brainly.com/question/11829187

Four Students, Amanda, Briana, Courtney, And Diana Were Given An Assignment In Their Math Class To Create

Related Questions

find the common ratio of 80, 20, 5

Answers

Answer:

The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4

Step-by-step explanation:

Please answer this solve the proportion x/8 = 9/4 X=

Answers

[tex]\frac{x}{8}=\frac{9}{4} \\\\4x=72\\x=18\\[/tex]

hope this helps :)

Which of these is a simplified form of the equation 15x + 4 = 5 + 3x + 1x? (2 points)
0 3x = 9
0 3x = 11
O 11x = 9
0 11x = 1

Answers

Answer:

11x=1

Step-by-step explanation:

15x+4=5+3x+1x       Bring everything with an x in front of it to the left side

15x-3x-1x+4=5         Simplify the x values

11x+4=5                    Bring the 4 to the right side

11x=5-4

11x=1

What the answer. ? Please no links

Answers

Answer:

would not be able to use 3 1/2 ft

Step-by-step explanation:

8.5 + 4.5 > 3rd side   ∴ 3rd side must be less than 13 feet

4.5 + 3rd side > 8.5   ∴ 3rd side must be greater than 4 feet

John mows 3 of his neighbors yards for $20 a yard. How much money did he make?

Answers

Answer:

60

Step-by-step explanation:

Answer:

The answer is $60

Step-by-step explanation:

If each yard earns John $20, and John cuts 3 yards, then John earns $60.

3 • 20 = 60


Determine the value of x in the diagram.
112
x
<
68
112
=

Answers

Answer:

The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68

Step-by-step explanation:

can somebody plz help?

Answers

Answer:

what do you need I'm not the smartest person but I may be able to help :)

3)
Which statement BEST describes V50?
A)
between 6 and 7
B)
between 7 and 8
between 8 and 9
mulas
D)
between 24 and 25

Answers

9514 1404 393

Answer:

  B)  between 7 and 8

Step-by-step explanation:

  [tex]\sqrt{50}\approx 7.071068\qquad\textsf{between 7 and 8}[/tex]

__

If you're familiar with your times tables, you know that

  7² = 49   and   8² = 64

The number 50 is between 49 and 64, so its square root is between √49=7 and √64=8.


please help, no fake answers and please...

Write an equation to model the relationship between the number of weeks, x, and the number of views, f(x).
Enter the correct answer in the box by replacing the values of a and b.

Answers

Answer:

a = 5120

b = 1.25

Step-by-step explanation:

Let the exponential function representing the given table is,

f(x) = [tex]a(b)^x[/tex]

Here, f(x) = Number of views

x = Number of weeks

We choose two points from the given table and satisfy the equation of the function.

Let the points are (0, 5120) and (1, 6400)

For a point (0, 5120),

f(0) = a(b)⁰ = 5120

a = 5120

Now for the second point (1, 6400),

6400 = 5120(b)¹

b = [tex]\frac{6400}{5120}[/tex]

b = 1.25

Therefore, a = 5120 and b = 1.25 are the values.

Answer:

f(x)=8(0.5)^x

Step-by-step explanation:

7. Jasmine buys a pack of 15 socks for $9.00. Shawn buys a pack of 20 socks for
$11.00. Write a ratio to represent they paid to the number of socks. Who got a better
deal on socks? Explain.

Answers

Answer: Well if you buy a pack of socks with 15 for $9 you are not getting the best deal over buying a pack of socks with 20 for $11. The reason behind this is because each sock is worth $0.6 meaning that you are only paying two extra dollars for five socks which would have normally cost $3. Shawn (with the 20 pack) is saving $1.

Mikel gave a $1.32 tip for an order that costs $8.80

Answers

Your answer in total is $10.12.

Evaluate. 5! - 4! = [1]

May any math experts please help thank you

Answers

Answer:

116=1

Step-by-step explanation:

I hope this helps you!

Please answer ? And please no links

Answers

Answer:

23

Step-by-step explanation:

i need help with this

Answers

Answer:

1695.6

Step-by-step explanation:

A triangle prism has a volume of 240m3.The area of the base is 16m2 what's is the height of the triangle prism

Answers

Answer:

The height is 45 m

Step-by-step explanation:

The volume of a triangular prism is V = (1/3)(area of base)(height)

If the voume is 240 m^3 and the area of the base 16 m^2, then the height of the prism is determined as follows:

3V = (area of base)(height)

Dividing both sides by (area of the base), we get:

                   3(240m^3)

height = ------------------------- = 45 m

                       16 m^2

Inglés

A company starts to track the number of phone calls received each month. Information about the number of phone calls the company received the first three months of tracking is listed below.


• During the first month, the company received 5,650 phone calls.

• During the second month, the company received 30% more phone calls than in the first month.

• During the third month, the company received 10,283 phone calls.


What was the percent increase in the number of phone calls from the second month to the third month?

español


Una empresa comienza a realizar un seguimiento del número de llamadas telefónicas recibidas cada mes. La información sobre la cantidad de llamadas telefónicas que recibió la empresa durante los primeros tres meses del seguimiento se enumera a continuación.


● . Durante el primer mes, la empresa recibió 5,650 llamadas telefónicas

● Durante el segundo mes, la empresa recibió un 30% más de llamadas que en el primer mes.

● Durante el tercer mes, la empresa recibió 10,283 llamadas telefónicas.


¿Cuál fue el porcentaje de aumento en la cantidad de llamadas telefónicas del segundo mes al tercer mes?

Answers

Answer:

c and b

Step-by-step explanation:

Which is the greatest measure of the given data? 4, 8, 4, 7, 5, 4, 9, 146, 6, 4, 13, 8, 11, 6, 6, 5 *

1.Mean
2.Central Tendency
3.Median
4.Mode

Answers

Answer:

Don't copy that link it will hack you.

Step-by-step explanation:

But the answer is 3. Median the median is 146.

Mode is 142

Mean is 146

The answer is median

Urgent please help..

Answers

Answer:

Length of the segment of a secant 'x' is 4 cm.

Step-by-step explanation:

If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.

By this property,

[tex]4\times x = 8^2[/tex]

[tex]4x = 64[/tex]

[tex]x=\sqrt{16}[/tex]

[tex]x=4[/tex] cm

Therefore, length of the segment of a secant 'x' is 4 cm.

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

someone help me quickly

Answers

the answer is 36 because you multiply the width times height times length

help with this please

Answers

Answer:

1) A

2) I

3) G

4) B

Step-by-step explanation:

1)

Bottom side: 7c - 1

Tall side: 6c + 2

P = 7c - 1 + 6c + 2 + 3c - 2 + 2c + 4c + 1 + 4c + 2

P = 26c + 2

2)

P = 26c + 2

P = 26(5) + 2

P = 132

3)

P = 2(l + w)

P = 2(3d - 2 + 5d + 1)

P = 16d - 2

4)

P = 16d - 2

P = 16(3) - 2

P = 46

Two symmetric points on a parabola are (3, -2) and (7, -2).

What is the parabola's axis of symmetry?

Answers

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

is 10 greater than, less than, or equal to 5?

Answers

Answer: it’s less 5<10

Step-by-step explanation:

Please help due in 5 minutes

Answers

Answer:

18,24,30

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

because that the hypotenuse 30 adjacent 18 and opposite 24

18 - 2n2 for n = 3
Need help

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

18 - 2n2  We are gonna be evaluating

Step 2

18 - 2n^2  Substitute n for 3

18-2(3^2)

Step 3

18-2(3^2)  simplify

0

So therefore, your answer is 0

Hope this helps

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

1st Question: D

2nd Question: Is either C or D

Hope this helps :)

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest rate.

Answers

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

!!!!!!!!!!!!!!!!!!!!!!

Answers

It think that it would be b would be b

Solve the equation for x:

2(x+3)−12=18

Answers

Answer: X=12

→Hope this helps!←

Reference angle of 2/15 pi

Answers

Answer:

Add  

2

π

to  

15

π

2

.

15

π

2

+

2

π

The resulting angle of  

11

π

2

is coterminal with  

15

π

2

but isn't positive. Repeat the step.

11

π

2

Add  

2

π

to  

11

π

2

.

11

π

2

+

2

π

The resulting angle of  

7

π

2

is coterminal with  

15

π

2

but isn't positive. Repeat the step.

7

π

2

Add  

2

π

to  

7

π

2

.

7

π

2

+

2

π

The resulting angle of  

3

π

2

is coterminal with  

15

π

2

but isn't positive. Repeat the step.

3

π

2

Add  

2

π

to  

3

π

2

.

3

π

2

+

2

π

The resulting angle of  

π

2

is positive and coterminal with  

15

π

2

.

π

2

Step-by-step explanation:

zorry if im wrong

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