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

can someone please help will give brainleist
pythagorean modeling ​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

hi.............,,,,,........

A right triangle has a base of 6 feet, a height of 4 feet, and a slant height of 9 feet. Find the area. *

Answers

The are of a triangle is always 1/2*Base*height so (1/2)*6*9 which is 27 ft^2

Graph the line with the equation y = 1/2x+3​

Answers

Answer:

(0,3) (-6,0) these will be the points

Use the Distributive Property to solve the equation. 4(x + 3) = 32 The solution of the equation is (Type the value of x)​

Answers

Answer:

x = 5

Step-by-step explanation:

4(x + 3) = 32

Use Distributive Property

4x + 12 = 32

Subtract 12 on both sides

4x = 20

Divide 4 on both sides

x = 5

Hope this helps! ^^

The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!

Answers

The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.

Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?

Answers

Answer:

20

Step-by-step explanation:

A video game originally costs $63, but if you buy it before the end of May there is a 25% off sale. The sales tax is 9.5%. What is the final price of the video game if you buy it before the end of May?

Answers

Answer: $53.24

Step-by-step explanation:

Find the sales tax:

9.5*63.00=598.5

Then divide 598.5 by 100: 598.5/100= 5.985

Round: $5.99 ( sale tax amount )

Now we find the discount: 25*63.00= 1,575

Then divide it by 100 : 1,575/100= $15.75 ( discount amount )

Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24

Answer: $53.24

Your welcome :)

why life on Earth depends on matter

Answers

Answer:

because matter is everything, everything around us is made of matter even people

have a good day :)

Step-by-step explanation:

Find the area of the figure. (Sides meet at right angles.)

Answers

Area is 50 m^2
5 x 3 = 15
7 x 5 = 35
35 + 15 = 50 m^2

Answer:

The answer would be 50m units squared.

At track practice, Preston
practiced running the hurdles for 2
hours. Then he practiced the high
jump for 1 hour and 30 minutes. If
Preston's track practice ended at
1:30 P.M., what time did it start?

Answers

His practice started at 10:00 am

State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS

Answers

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2

On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?

Answers

Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

what percent is 25 is 4 plz help

Answers

Answer: 16%

Step-by-step explanation:

4:25*100 =  

(4*100):25 =  

400:25 = 16

for the following question, find the volume of the given prism. round to the nearest tenth if necessary

Answers

Answer:

D) 269.3

Step-by-step explanation:

Rectangular prism volume:

V = whl

V = (12.1)(5.3)(4.2)

V = 269.346

what is the simplified fractional equivalent of the terminating decimal 0.78?

Answers

Answer: 39/50

Step-by-step explanation: the answer is 39/50

Answer:

the answer is 39/50

Step-by-step explanation:

thank you

Find the volume of the composite figure. Select the correct
numbers into the boxes to complete the answers.
7 ft
4 ft
4 ft
11 ft
7 ft

Volume of rectangular prism:

Volume of the triangle prims:

Answers

Answer:

the volume of rectangular prism is 11 ft.

the volume of triangle prism is 7 ft.

Find the surface area of the triangular prism shown below. 10 10 8 14 12​

Answers

Answer:

Hello! answer: 544

Hope this helps!

The surface area of the given triangular prism is 544 units³

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

Given that are the dimensions of a triangular prism, we are asked to find its surface area,

Surface area = (perimeter × length)+(base area)

Surface area = [(10+10+12)×14]+(8×12)

= 32×14+96

= 448+96

= 544

Hence, the surface area of the given triangular prism is 544 units³

Learn more about triangular prism, click;

https://brainly.com/question/27102803

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A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?

Answers

Answer:

7/25

Step-by-step explanation:

A car that is purchased got 24000 is expected to depreciate at a rate of 7% per year. If the function f(x)=ab^x models this situation, which function could be used to find the value of the car after 10 years?

Answers

Answer:

FV= 24,000*(1.07^-10)

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $24,000

Decrease rate (d)= 7%

Number of periods (n)= 10 years

To calculate the value of the car after 10 years, we need to use the following formula:

FV= PV*(1+d)^-n

FV= 24,000*(1.07^-10)

FV= $12,200.38

Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother

Answers

Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

the answer is what you think it is fam on foenem

A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80

Answers

Answer:

A

$10

Step-by-step explanation:

15% of $65 is 9.75

so $10 would cover the given amount

We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:

D and E.

The baseball bat is originally sold for $65.

It has a discount of a 15%, then the new price is given by:

P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25

So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25

The correct options are:

D: $60

E: $80

With these two you could pay the complete cost of the discounted bat.

If you want to learn more, you can read:

https://brainly.com/question/2730006

giving brainliest, find the volume THANKS

Answers

Answer:

384 inches cubed

Step-by-step explanation:

Your equation is:

width x hight x length = volume

12 x 4 x 8 = 384 in cubed

Answer: that be B.128in^2

Step-by-step explanation: Hope this help :D

PLZZZ HELP MEEEEE!!!!

Answers

Answer:

She would use the mean.

Step-by-step explanation:

Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent of the raise? PLEASEE ALSO show work , i will try and mark brainliest

Answers

Answer:

0.65

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,142/32,800 ≈ 0.065 = 6.5%

Help please I beg you. There’s a picture of the question and answers

Answers

Hello ur answer would be b.

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

The answer is c
To square it you would just do (5x-4y)(5x-4y)

13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)

Answers

The answer is D -4,-30

5) A grocery store paid $147.98 for 7 crates of milk. This can be
expressed by the equation Y=KX. How much was it for one
crate?


Please help !

Answers

Answer: x= 21.14

Step by Step: $147.98 = 7x
147.98/7 =21.14

2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2

Answers

Answer:

Unit 9 Answer Key.pdf

Step-by-step explanation:

Search that up and you'll see all the answers

Please give me Brainliest and like and rate please hope this helps BYE!

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