What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Answers

Answer 1

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.


Related Questions

4x – 4 = – 12
X = ?
What is X ?

Answers

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

solve 6x + 6 = 3x - 6

Answers

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

what is the area of this trapezoid

h=4 b2=5 b1 equal 10

Answers

Answer:

5+10=15

15×4÷2

60÷2

=30

Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)

Answers

Answer:

This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.

PLS HELP ASAP ILL GIVE BRAINLIEST
find the base of a parallelogram with a height of 15m and an area of 330m​

Answers

Answer:

22

Step-by-step explanation:

What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer:

A = 126 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 9 , then

A = 14 × 9 = 126 cm²

Look at this figure: What is the shape of its bases?

Answers

The shape of its bases is D. Triangle
They are triangle
D is correct.

which model could represent the expression below:
3 divided by 4/7

Answers

I believe the answer would be D.

Answer:

Answer is B . I took the quiz and got a 100.

Step-by-step explanation:

what is the greatest common factor of 48x^2 and 32x^3 ? ​

Answers

So the greatest common is 16x^2

Question
The volume of a cube is 0.125 in^3 What is the length of one side?

Answers

Answer:

0.5 inches

Step-by-step explanation:

Volume of a cube = L × L × L = L³

0.125 = L³

L = ³√0.125

L = 0.5 inches

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

A sphere has a volume of V = 1764 in. Find its surface area.

Answers

Answer:

The surface area is 706.02

Step-by-step explanation:

SA = 224.4pi (704.62)

Alternatively (706.02 without rounding)

First, we need to find the radius of the sphere with the following equation

[tex]r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49[/tex](pi as 3.14)

Now we can find the surface area using the following equation

[tex]SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\[/tex]

HELP PLEASE. find the volume of the figure. (3.14 as pi)

Answers

Answer:

The volume of the figure is 720 cm^3

Step-by-step explanation:

Here, we want to find the volume of the figure

mathematically, we can have this as the product of the base of the figure and it’s height

the base is a rectangle and the area is the product of the side lengths

Mathematically, we have this as;

9 * 20 = 180 cm^2

So the volume here can be obtained by simply multiplying by the height of the shape

we have this as;

180 cm^2 * 4 cm = 720 cm^3

someone pls help asap :))

Answers

Answer:

Its probably B

Step-by-step explanation:

Sorry if im wrong

Netflix charges David $15 per month for a membership, plus a one time $5 fee to stream on his phone. How many months will David have his membership if Netflix charges David $50?

Answers

Answer:

David will have his membership for 3 months.

Step-by-step explanation:

For the first month + the one-time mobile fee, that is $15 for one month + $5 for the fee.

So far, he has been charged $20.

Another month's cost is $15 more, which will bring his total cost to $35.

Another month's cost is $15 more, which will bring his total cost to $50.

If Netflix charges David $50, that means he will have paid the mobile fee, and have had his membership for 3 months.

monthly salary of a teacher was Rs 12000 last month.lf the salary increase by 20% find his salary this month​

Answers

Answer:

new salary = ₹ 14400

Step-by-step explanation:

here's your solution

==> monthly salary = ₹ 12000

==> percentage increase in salary = 20%

=> we need to find 20% of 12000

==> increased amount = ₹ 2400

==> salary of this month = 12000 + 2400

==> new salary = ₹ 14400

hope it helps

solve the equation
x/2.1=4.1/3.5​

Answers

Answer:

X=2.46

Step-by-step explanation:

Help on this complete the square problem.


[tex]x^2+3x+7[/tex]

Answers

X2+3x+7=0 that’s the answer

is this rational or irrational?

Answers

Answer:

rational

hope it helps.

Please help with this question 20 points

Answers

Answer:

G

Step-by-step explanation:

In 1994 , about 493 CDs were sold for every 9 albums . A large music store sold 912 albums . About how many were sold (to the nearest CD?

Answers

Answer:

49,886

Step-by-step explanation:

The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?

Answers

22 units. You are finding the perimeter here.
24/8=3
3+3+8+8=22
Your answer is 22 units

5 yd
.
6 yd
Byd
Click Here:

Answers

The answer would be

Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6

Answers

Answer:

[38]

Step-by-step explanation:

Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?

Answers

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

helppppppppppppppppppppppppppp

Answers

Answer: A

Step-by-step explanation:

can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/​

Answers

Answer:

Right: Y=52

Left: X=19

Step-by-step explanation:

Left side is correct: x = 19


Right side:
y = 3(19) - 5 and y = 2(19) + 14

y = 57 - 5 and y = 38 + 14

y = 52

A triangle has angle measurements of 71°, 33°, and 76º. What kind of triangle is it?

Answers

Answer:

A triangle that has three acute angels is called an acute triangle.

Step-by-step explanation:

Oblique triangle

Explanation

can someone help me please

Answers

Answer:

3.5

Step-by-step explanation:

If you divide x from y on each row, you will always get 3.5

The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11​

Answers

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

Other Questions
26. Which of the following diagrams show a pair of corresponding angles? 3. Which level of government makes the furthest-reaching economic decision? The length of a skateboard is about 4 times its width. The length of Mikas skateboard is 79 cm.Write an equation to model this situation. b) What is the width of Mikas skateboard? two polynomials with a constant term of -3 with an explanation, thanks. didn't understand a thing in school. 10. Why does Democratic Party's former candidate for President, Senator BernieSanders, claim that America is turning into an oligarchy? Hereditary information is passed from one generation to the next. Which two processes are responsible for the passage of hereditary information from generation to generation in mammals, birds, reptiles, fishand other animals? A.Meiosis and fertilization B. Mitosis and fertilization C. Mitosis and Meiosis D. Asexual reproduction and sexual reproduction How many millimeters are equal to one kilometer. Show your work Replace the direct and indirect objects with the correct pronounsRoberto pide dinero a sus padres.Ellos buscan la carta para sus padres. John is looking for an apartment in the city. He has to make decisions about these choices. * A ground floor (G) apartment or one that is not on the ground floor (N) * An exterior entrance (E) or an interior entrance (I) * To buy the apartment (B) or to rent it (R) If John selects an apartment that is not on the ground floor (N), he can only choose an interior entrance (I). Which tree diagram BEST represents his choices?Group of answer choicesI will give brainllents Why do you think some people prefer genetically modified food? Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs? in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z. What are the area and the circumference of the circle at the right? Ronald saves 10.00 to buy a new book. The book original price was 15 but it was on sale for 35% off with a 6% sales tax. Does he have enough money to buy the book Explain. PLEASE DONT SAY HERE IS THE LINK OR FILE What is the essential idea in this phrase "poverty of the govenment and opulence of the vow of poverty"? Explain your answer. 2. Mr. Lasher's impact on Walter's life could best be described as5 pointsOTransformativeTraumaticOOrdinaryAmbiguous Help please no links or Ill report Someone please help fear had gripped the heart Sophie Ruth is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa is in the chocolate bar?