what are the integer solutions to the inequality below?
[tex]3\leq 3x-4\ \textless \ 2x+1[/tex]

Answers

Answer 1

Given:

The compound inequality is:

[tex]3\leq 3x-4<2x+1[/tex]

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

[tex]3\leq 3x-4<2x+1[/tex]

Case 1: [tex]3\leq 3x-4[/tex]

[tex]3+4\leq 3x[/tex]

[tex]\dfrac{7}{3}\leq x[/tex]

[tex]2.33...\leq x[/tex]             ...(i)

Case 2: [tex]3x-4<2x+1[/tex]

[tex]3x-2x<1+4[/tex]

[tex]x<5[/tex]                  ...(ii)

Using (i) and (ii), we get

[tex]2.33...<x<5[/tex]

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.


Related Questions

Write an equation for this graph. (Use / for division and * for multiplication; do not include spaces in your answer)

Answers

Answer:

The equation of the line is;

y = 4x

Step-by-step explanation:

The general equation form of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The graph passes through the origin and that means the y -intercept is 0

To get the value of the slope, we select any point on the graph and substitute its coordinates

Let’s select point (1,4)

Substitute this;

4 = m(1) + 0

m = 4

Thus, the equation of the line is;

y = 4x

Hey can you please help me with this

Answers

x=-11

Hope this helps :T

Solution :

Given that,

3 (x + 7) = -12

To find :

Value of x.

>> x + 7 = -12 / 3

>> x + 7 = -4

>> x = -4 - 7

>> x = -11

Therefore, value of x is -11.

it's all on the picture please answer ​

Answers

The answer is t = 60! :)
60. you add the 26 to the 34

CAN SOMEONE HELP THIS IS TIMED
1.) What is the formula for the nth term for the following sequence?
12, 9, 6, 3, …
2.)Find the common difference.
1.1, 1.2, 1.3, 1.4, …

Answers

Answer:

i belive

1) an=−3n+15

This is the formula of an arithmetic sequence.

an=a1+d(n−1)

2) b. 0.1

1.1+0.1= 1.2

1.2+0.1= 1.3

1.3+0.1= 1.4

Step-by-step explanation:

i think this is right, sorry, hope this helps!

Answer:

1). -3         2). plus 0.1

Step-by-step explanation:

ye

Jimmy buys 5 notebooks that each cost the same amount and 1 binder that costs $7.50. The total cost is $18.75. How much does each notebook cost?
Choices:
A. $2.25
B. $5.24
C.$2.52
D.$3.80​

Answers

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

Answer:

The answer would be $2.25

Step-by-step explanation:

If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.


Sample 1: 4
Sample 2: 1
Sample 3: 9

How do the sample statistics compare to the population mean and standard deviation???

Answers

Answer:

sample 3:9

Step-by-step explanation:

hope this helps

pls mark me branliyest

Simply the following expression: 8x + 5y - 4z + 9y - 3x + 13z

Answers

Answer:

5x+14y+9z

Step-by-step explanation:

combine 8x and -3x to get 5x

combine 5y and 9y to get 13y

combine -4z and 13z to get 9z

A rectangular painting is 2 feet long and 56 foot wide. Which is the area of the painting?
A. 1 2/3
B. 2 5/6
C. 3 1/3
D. 5 2/3

Answers

Answer:

I'm pretty positive it should actually be 112.

Step-by-step explanation:

You find the area of a rectangle by multiplying length times width. I don't know how else to explain that all of the answers are incorrect.

What is 73/48 simplified

Answers

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

can someone help me

Answers

Answer:

The option that is down and right

Step-by-step explanation:

4x means there will be 4 of that variable which is x and the equal to is 24 which is at the bottom

please help find the missing angles !!!! ​

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP ME THANKS IF U DO (gets reported if link)

Answers

Answer:

5

Step-by-step explanation:

49/9 = 5

Helppppppppppp
31. The students are selling wrapping paper to raise money. Each roll of paper rolle for 5%,
Part A
Write m expression that represents the total amount of money, in dollars, the students raise
from selling x rolls of wrapping paper
Part B.
The goal of the students was to raise $600. They sold 6% rolls of paper. By what amount did
the students miss their goal of raising 5600? Show or explain all of your work

Answers

Answer:

So The Answer would be 600=1.05x and 600=1.06x for part A and B

Step-by-step explanation:

For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;

Part A: 600= 1.05x

The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$  

For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"

Easy math question hurry up pls it 20 points

Answers

Answer and Step-by-step explanation:

1.

c(1) = -0.6

c(n) = c(n - 1) × -5

Those are the answers.

#teamtrees #PAW (Plant And Water)


HELPP ME PLEASE!!!
(don’t answer if you don’t know/for points,or i’ll report you.)

Answers

Answer:

4) -15 + (3)

Step-by-step explanation:

1: -9-(-9) = -9-9 = 0

2: -2-(6) = -2-6 = -8

3: 15 + (-7) = 15 - 7 = 8

4: -15 + (-3) = -15-3 = -18

-18 is the smallest value

A trapezoid has a median measuring 24 units. Its area is 96 square units. The height of the trapezoid has a length

Answers

Answer:

don't click or open people links here they are people trying to get info off of you for their benefits or trying to give you viruses. report them.

The height of the trapezoid has a length of 4 units

Calculating the sides of a trapezium

From the question, we are to determine the height of the trapezoid

The area of a trapezoid can be calculated by the formula,

[tex]A = \frac{1}{2}(a+b) h[/tex]

Where A is the area

a and b are the bases

and h is the height

The median of a trapezium is given by

[tex]\frac{1}{2} (a+b)[/tex]

From the given information,

A = 96 square units

[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]

Putting the parameters into the formula,

96 = 24 × h

h = 96 ÷ 24

h = 4 units

Hence, the height of the trapezoid has a length of 4 units

Learn more on Calculating the sides of a trapezium here: https://brainly.com/question/369033

What is the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights?

Answers

The student will need to understand that the relationship between a prism and a pyramid with equal bases and heights is the volume of the prism is three times the volume of the pyramid. The students should physically model this relationship using manipulatives such as water, rice or beans.

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

Given rhombus ABCD with

m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

All sides are congruentDiagonals are perpendicularDiagonals are angle bisectorsDiagonals bisect each other

Solution, considering the above properties

1. m∠AED = 90°, as angle between diagonals2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD4. AE = CE = 5, as E is midpoint of AC5. BE = DE = 12, as E is midpoint of BD

A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answers

Answer: 745 (about)

Step-by-step explanation:

A=πr2

A =π (15.4)^2

A=π (237.16)

A= 745.06

A= 745 (with rounding)

Answer:

The area of the plate is about 76 square inches

Step-by-step explanation:

i had this on a test ... and i got this question right if your problem is worded the same way then the answer is 76 :)

Help please.........

Answers

Im on sure but probably 0.75
Answer is 0.75 I think lol

Find the perimeter. Simplify your answer.

Answers

Answer:

5c^2+2cd-2d^2-15

Step-by-step explanation:

Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:

4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30

Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:

5c^2+2cd-2d^2-15

PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link just pls help.

Answers

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

Pete adds 78 to the data set below
20,32,32,45,50

Which statement below is true?

A. The mode will increase
B. The mean will decrease
C. The median will remain the same
D. The interquartile range will decrease

Answers

The correct answer is letter A

rewrite the equation 12x=13-x^2

Answers

Answer:

x^2+12x-13 = 0

Step-by-step explanation:

12x=13-x^2

=>12x+x^2=13-x^2+x^2

=>x^2+12x-13 = 13-13

=> x^2+12x-13 = 0

Answer:

x² + 12x - 13 = 0

Step-by-step explanation:

12x = 13 - x²

the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;

0 = 13 - x² - 12x

0 = -x² - 12x + 13

In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:

x² + 12x - 13 = 0


URGENT!!

A rectangular prism made of 1/4-inch cubes is shown.




What is the volume of the rectangular prism? Do not include units in your answer.

Answers

Answer:

1 1/2

Step-by-step explanation:

find the L W H and multiply it and divide by 1/4.

Hope this helps :)

The volume of the rectangular prism is 24 inches cube.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of cuboid = length × height × width.

The volume of the cube = side³.

Given the rectangular prism with a bunch of small cubes whose volume is 1/4 inches³.

Number of small cubes = 8 × 4 × 3 = 96

The volume of the complete prism = Volume of 1 cube × the Number of small cubes.

The volume of the complete prism = 1/4 × 96

The volume of the complete prism = 26 inch³.

Hence "The volume of the rectangular prism is 24 inches cube".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ2

Which of the following statements are true about the given rational equation? Check all of the boxes that apply. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution. x = 0 is an extraneous solution. x = –1 is a solution. x = –6 is an extraneous solution.

Answers

Answer:

A and C

Step-by-step explanation: Edge 2021

The statements which are true about the given rational equation is:

A.  4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solutionC.  x = –1 is a solution.Rational Equations

This refers to an equation which has fractions which contains polynomials and can be solved by reducing the fractions to solve the inequality.

With this in mind, we can see that options A and C are both solutions to a rational equation because of their equality of their solutions.

Read more about rational equation here:

https://brainly.com/question/714279

What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Answers

Answer:

        aₙ = 3n - 11

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

pls help will give brainliest

Answers

Answer:

D

Step-by-step explanation:

How do you find the value of x in the triangle?

Answers

To find the value of x in a triangle, you need to subtract the sum of the two angles from 180 degrees. Know that the sum of all the angles of a triangle will always equals 180 degrees. Then write down the difference of subtracting the sum of the two angles from 180 degrees and that would equal the value of x.

I hope this helped in some way, if it didn't, im so sorry.

how do you translate a figure in a coordinate plane?

Answers

Answer:

Answer down below

Step-by-step explanation:

When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change. To graph a translation, perform the same change for each point. You can identify a reflection by the changes in its coordinates.

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