a ___ inequality in which each term is either a constant or the product of a constant and a single variable

Answers

Answer 1

A linear inequality is an inequality in which each term is either a constant or the product of a constant and a single variable.

In mathematics, an inequality expresses a relationship between two quantities using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to). A linear inequality specifically refers to inequalities where the terms involved are either constants or the product of a constant and a single variable.

For example, consider the linear inequality 3x - 2y < 5.

Here, the terms 3x, -2y, and 5 satisfy the criteria of a linear inequality as they involve constants (3 and -2) and a single variable (x and y).

The multiplication of constants and variables is allowed in linear inequalities as long as each term follows the specified conditions.

Linear inequalities are commonly used in various fields of mathematics, economics, and sciences to represent relationships between quantities, such as constraints in optimization problems or conditions for feasible solutions.

They provide a framework for analyzing and modeling real-world situations where variables are subject to certain limitations or conditions.

In summary, a linear inequality is an inequality where each term is either a constant or the product of a constant and a single variable, allowing for the representation of relationships between quantities in various mathematical and real-world contexts.

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Related Questions

which number is greater than 0.883 A: 0.88 B: 0.338 C: 0.888 D: 0.833

Answers

Answer:

That would be "C"

Step-by-step explanation:

Good luck with your work :)

Answer: C: 0.888

Step-by-step explanation: Hope this helps :)

Point Q lies on segment AB, where point A is located at (- 4, 6) and point B is located at (6, 1). If AQ: QB = 3:2, where is point on
the segment AB? Find the coordinates of point Q.
A (4,0)
B (3,2)
C (0,4)
D (2,3)

Answers

Answer:

Option (D)

Step-by-step explanation:

If a point (h, k) divides the line segment having ends at [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] in the ratio of m : n then,

h = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

k = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If a point Q(h, k) divides the segment with ends A(-4, 6) and B(6, 1) in the ratio of 3 : 2 then,

h = [tex]\frac{3(6)+2(-4)}{3+2}[/tex]

  = [tex]\frac{18-8}{5}[/tex]

h = 2

k = [tex]\frac{3(1)+2(6)}{3+2}[/tex]

  = [tex]\frac{3+12}{5}[/tex]

k = 3

Therefore, Coordinates of the point Q are (2, 3).

Option (D) will be the answer.

Please help. This is my last question and all I need is an answer

Answers

Step-by-step explanation:

get a ruler and measure every side of B do the same with A then compare one of the same sides on each shape, figure out what number is multiplied to equal the larger side on A

I forgot how to do this and I need help!

Answers

It’s the second one
The 2nd one is the answer ... sorry if I’m wrong

isabel runs each lap in 5 minutes. she will run more than 40 minutes today. what are the possible numbers of laps she will run today

Answers

She should run 8 laps. 40 minutes divided by 5 per lap equals 8 laps
it could be anything above 8 laps. (since its saying more than 40 minutes, i just divided 40/5 and its 8.)

how would i solve this step by step

Answers

The amount of drug left in the blood stream at 2pm is: 6.10 mg

How to solve Exponential Functions?

The exponential growth function we are given is expressed as:

y = y₀[tex]e^{-0.36t}[/tex]

where:

y is amount of drug in the blood stream

y₀ is amount of drug injected into the blood stream

t is number of hours after the drug was injected.

Thus, we are told that 15 milligrams was injected into the blood stream at 11:30 am. Thus, the amount of drug left in the blood stream at 2pm which is 2.5 hours after is:

y = 15 * [tex]e^{(-0.36 * 2.5)}[/tex]

y = 15 * 0.4066

y = 6.10 mg

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sprinter can run 10 yards in 5⁄3 seconds. How long will it take the same sprinter at the same speed to run 30 yards?

Answers

Answer:

5 seconds

Step-by-step explanation:

All you have to do is make a ratio.

10 yards = 5/3 seconds

10 * 3 = 30 yards

5/3 * 3 = 15/3 = 5 seconds

The order of these two reflections (select matter. The resulting image (select) the same for a
reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a
reflection in the y-axis.

Answers

Answer:

I think u need to show the images lol

Step-by-step explanation:

you kinda can't tell whats happening without it

What’s 0.0625 rounded to the nearest tenth

Answers

i’m pretty sure the answer would be 0.1 because you round the tenth up which is zero to 1 because 6 is greater than or equal to 5

A baseball player hit home runs in a season. Of the 71 home​ runs, 24 went to right​ field, 25 went to right center​ field, went to center​ field, 9 went to left center​ field, and 1 went to left field. What is the probability that a randomly selected home run was hit to right​ field?

Answers

Answer:

24/71

Step-by-step explanation:

Total number of runs = 71Right field = 24

Probability = favorable outcomes/total outcomes

P = 24/71

Among the career home run leaders for Major League Baseball, hank aaron has 181 fewer than twice the number of chipper Jones. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did. Chipper jones hit in his career?

Answers

Answer: He has 287 home runs

Step-by-step explanation:

Let's define:

H = home runs of Hank

J = home runs of Jones.

We know that:

H = 2*J - 181

H = 755

Then we can replace the second equation into the first one:

755 = 2*J - 181

(755 - 181)/2 = J

287 = J

Which equation is represented by the graph below?
a.y = e Superscript x
b.y = e Superscript x Baseline minus 1
c.y = l n x
d.y = l n x minus 1

Answers

Answer:

C. Y= I n x

Step-by-step explanation:

Is -7/16 in decimal form terminating or repeating? PLEASE ANSWER ME !!! THIS IS A GRADE!

Answers

Answer:

terminating

Step-by-step explanation:

Answer:

I believe that it is terminating as -0.4375

Step-by-step explanation:

Identify the coordinates of the point in polar form based upon the given conditions.
Use pi for , or click the yellow arrow for the MathQuill.

Answers

The polar coordinates of the point P are (-6, π/3).

To identify the coordinates of the point in polar form based upon the given conditions, we need to use the polar coordinate system. In this system, a point is represented by an ordered pair (r, θ),

where r is the distance from the origin to the point, and θ is the angle that the line segment connecting the point to the origin makes with the positive x-axis, measured in a counterclockwise direction from the positive x-axis to the line segment.

Let's consider an example to understand this concept better.Suppose we are given the point P with rectangular coordinates (-3, -3√3). We need to find its polar coordinates.

Let's begin by finding the distance r from the origin to the point P. We can use the distance formula for this purpose.

We get:r² = (-3)² + (-3√3)² = 9 + 27 = 36r = ±6

Since P lies in the third quadrant, its distance from the origin must be negative. Therefore, we take r = -6.

Now, we need to find the angle θ that the line segment OP makes with the positive x-axis. We can use the tangent function for this purpose. We get:tan θ = (-3√3)/(-3) = √3θ = π/3 (since P lies in the third quadrant)

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An initial amount of $100 is invested in a compound savings account with an annual interest rate of 5%. What is the total amount after 4 years? $1215506.25 $121.55 $100.00 $1000000.00

Answers

Answer:

100

Step-by-step explanation:

5% of  25 in 4 years you would make 100$

Round 677.25 to the nearest tenth. ​

Answers

Answer:

677.30

Step-by-step explanation:

5, round up to 3

Rounding off 677.25 to the nearest tenths gives 677.20.

What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.

So, 677.25 to the nearest tenth:

Since, after the decimal, the tenth place has 2, and due to this after rounding off, the value will be:677.25 ⇒ 677.20

Therefore, rounding off 677.25 to the nearest tenths gives 677.20.

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Cual es el procedimiento para encontrar la razon de la proporción 20/x = 4/2

Answers

The value of x in the given proportion is determined as 10.

What is the value of x in the proportion?

The value of x in the proportion is calculated by applying the following formula as follows;

The given expression is as follows;

20/x = 4/2

From the given expression above, to determine the value of x, we can cross and multiply.

4x = 20 x 2

4x = 40

divide both sides by 4;

4x / 4 = 40/4

x = 10

Thus, the value of x in the given proportion is determined as 10.

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Amelia needs to buy some dog food at the nearest store 6 bags of dog food cost 19.50 how much would Amelia spend on 3 bags of dog food

Answers

Answer:

Well, let us find the contanst value. $19.50 ÷ 6 = $3.25 per dog food bag. $3.25 x 3 = $9.75.

Amelia would have to pay $9.75 for 3 bags of dog food

members of the volleyball are hosting a carwash fundraiser.they are washing cars for $12 and trucks for $18. the team washes of 22 cars and trucks and made a total of $300 how many cars and how many trucks did they wash?

Answers

Answer:

22 cars & 2 trucks

Step-by-step explanation:

Let c stand for cars

Let t stand trucks

12c + 18t = 300

If we know that c is 22, then let's find t:

12(22) + 18t = 300 (first do what is in parenthesis)

264 + 18t = 300 (then combine like terms)

18t = 36 (divide to get t alone)

t = 2

Ans: They washed 22 cars and 2 trucks

Jennifer brought an umbrella on a business trip. The umbrella is 29 inches long.

Jennifer thinks she can bring the umbrella home in her suitcase.

Is she correct?
Explain using your understanding of the Pythagorean Theorem to answer.

Answers

Answer:

yes

Step-by-step explanation:

the length of the diagonal of the suitcase is 30 in.

pythagorean theorem: a^2+b^2=c^2

(the length times the height=the diagonal)

So, 24^2 + 18^2=something

24^2=576

18^2=324

576+324= 900

square root of 900=30

so, c equals 30

therefore the diagonal =30 , so there's plenty of space to put the umbrella because it's less long than the diagonal

After 3 hours, Ernie had traveled 195 miles. If he travels at a constant speed, what was Ernie's speed in miles per hour?

Answers

Answer:

65 mph

Step-by-step explanation:

195÷3=65. you take your miles total and divide them by your tim total

PLZ ASAP WILL GIVE BRAINLIEST

Answers

Answer:

3

Step-by-step explanation:

He got 42 correct

Answer:

3

Step-by-step explanation:

.84 x 50=

42

Find the vertex of the graph of the quadratic function by completing the square or using the vertex formula.
f(x) = 5x² - 30x + 11

Answers

Answer:

f(x)= 20-11+30x

= 9/30

What is the difference in volume between a 5 cm x 5 cm x 5 cm cube and a 2 cm x 4 cm x 16 cm cuboid?​

Answers

Answer: Difference between the volumes of 5cm x 5cm x 5cm cube and 2cm x 4cm x 16 cm cuboid = 3 cm^3.

Step-by-step explanation: Volume of cube of side "a" =a^3

In the question, a=5cm

Therefore, the Volume of cube = 125 cm ^3

Volume of cuboid = l x b x h

In the question, l = 2cm, b = 4cm, h = 16cm

Therefore, Volume of cuboid= 128 cm^3

Hence, the difference in their volumes = 3 cm^3

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The measure of c is
Pls answer

Answers

Answer:

10

Step-by-step explanation:

used Pythagorean theorem

a ^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

c^2= 100

find square root of 100 to find c

=10

A swimming class has 20 students. Only 8 students know how to dive off
the diving board. What percent of the students know how to dive off the
diving board?

Answers

Answer: 40%  

Step-by-step explanation:

To write 8/20 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 8/20 * 100 = 0.4 * 100 = 40% And finally we have: 8/20 as a percent equals 40%

Find the x-intercept and y-intercept of the line.
4x+3y = -12

Answers

Answer:

sorry i cant help but search it up on quizlet it will be the fith flash card

Step-by-step explanation:

Any one can inbox me..​

Answers

Answer:

yes why not

Step-by-step explanation:

I HOPE it will help you

what is the answer to this -6 x -19.

Answers

Answer: 114

Step-by-step explanation:

-6 x -19= 114

A laser printer prints 135 pages in 5 minutes. How many pages does it print in 22 minutes? *

Answers

Answer:

594

Step-by-step explanation:

divide the total amount of pages to find the amount that can be printed per minute. this will give you 27 pages per minute, multiply this by the 22 minutes in the question to get a grand total of 594 pages in 22 minutes.

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