sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that has infinitely many solutions. Explain

Answers

Answer 1

Answer:  one solution  x + 3 = 5   x = 2   no other other value for x is possible

No solution:  (x + 3) = 2(x +3)  

Infinitely many solutions:  x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3)  has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x  has infinitely many solutions. Substitute any number for x, and the equation is true   (5)+3=3+(5) 8=8 .  11111+3 =3+11111  11114=11114

Answer 2

An equation can either have: one solution, no solution, or infinitely many solutions. Some equations that can be derived from [tex]x + 3[/tex] and their solution type are:

[tex]x + 3 = 2x[/tex] has one solution[tex]x + 3 = x[/tex] has no solution[tex]x + 3 = 2(0.5x + 1.5)[/tex] has one solution

Given that:

[tex]Expression = x + 3[/tex]

Equation with one solution

For an equation to have one solution. then the equation is consistent and dependent.

For instance:

[tex]x + 3 = 2x[/tex]

Collect like terms to solve for x

[tex]2x -x = 3[/tex]

[tex]x =3[/tex]

This means that [tex]x =3[/tex] is the only solution to [tex]x + 3 = 2x[/tex].

Hence, [tex]x + 3 = 2x[/tex] has one solution

Equation with no solution

For an equation to have no solution. then both sides of the equation are not equal

For instance:

[tex]x + 3 = x[/tex]

Collect like terms to solve for x

[tex]x- x = 3[/tex]

[tex]0 = 3[/tex]

Because 0 is not equal to 3, then [tex]x + 3 = x[/tex] has no solution

Equation with infinitely many solutions

For an equation to have infinitely many solutions. then both sides of the equation must be the same thing

For instance:

[tex]x + 3 = 2(0.5x + 1.5)[/tex]

Open the bracket

[tex]x + 3 = x + 3[/tex]

Collect like terms

[tex]x - x = 3 - 3[/tex]

[tex]0 = 0[/tex]

Because both sides are the same (i.e. 0), then [tex]x + 3 = 2(0.5x + 1.5)[/tex] has infinitely many solutions

Read more about equation solutions at:

https://brainly.com/question/10628783


Related Questions

DO NOT ANSWER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS!!!
The cost of cherries is $8 per pound. Given that context how should we change the graph?

Answers

Answer:

x represents a pound of cherries, and y represents the cost. you need to change 20 to 24. And add 0:0 1:8 2:16 and 3:24

Step-by-step explanation:

Please help me out with the questions!

Answers

Answer:

7 mpg/year, 1

Step-by-step explanation:

what is elasticity?​

Answers

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.

Step-by-step explanation:

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed

The change in y over the change in x is the same as???

Answers

Rise over run...........
☝ over ‍♀️ ( rise over run )

What is 8 divided by 3526​

Answers

Answer:

The answer is 4/1763 in fraction

In decimal, the answer is 0.001 rounded to thousandths.

Step-by-step explanation:

If you want to divide this, you will have to make this expression to a fraction

to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.

Write b-^4 where the exponent is positive

Answers

Answer:

1/b^4

Step-by-step explanation:

When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.

You currently have b^-4/1 flip it and change the sign to get 1/b^4

Please help me i need help with this please give me the answer

Answers

Part A:

$8.00+(r⋅$1.40)

Part B:

($26.00-($8.00)÷$1.40)=5

He can go on 5 rides.

PLEASE ! Find the slope of the line graphed.

Answers

It’s 2
Because (0,-2) (-4,0) a negative divides by a negative is a positive

Answer:

slope = -1/2

Step-by-step explanation:

From the graph, pick two points:

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2

Riley earned $5 for
1
2
of an hour babysitting. What is her hourly rate?

Answers

Answer:

10 dollars each hour

Step-by-step explanation:

Hello.

If Riley earned $5 for half (1/2) an houe of babysitting, then for a full hour, she would make $10.

Her hourly rate is $10.

which of the four statements are false?

Answers

Answer:

D. all atoms are the same

Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other

Write the equation of the line that passes through the following two points (2, 7) and (0, 1)

Answers

Answer:

F(X)= 3x + 1

Step-by-step explanation:

what property is 4x + 8 = 28

Answers

Answer:

x=5

Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

doing the same on the right.

now you have

4x = 20

x= 20/4

x=5

hope this helps.

Solve x2 − 8x + 15 < 0. The solution set for the quadratic inequality is:

Answers

Answer:

3<x<5

Step-by-step explanation:

[tex]x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5[/tex]

Stacy drew a scale drawing of on park on a map. The scale is 1 inch : 10 yards. If the drawing of the park is 6 inches. How wide is the actual park?



PLZ HELPPPPPPPPP

Answers

Answer:

About 25 yards.

Step-by-step explanation:

Length of actual park is 60 yards

Given that;

Scale factor = 1 inch : 10 yards

Length of drawing = 6 inches

Find:

Length of actual park

Computation:

Length of actual park = Scale factor × Length of drawing

Length of actual park = 10 × 6

Length of actual park = 60 yards

Learn more:

https://brainly.com/question/21304198?referrer=searchResults

Please help I will mark brainliest

Solve the equation. x - 4 = -5x - 28 x =

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

lol help is appreciated, ill give brainliest.

Answers

Answer:

m<7 = 95 degrees

Step-by-step explanation:

Angle 1 = 3x + 10

Angle 4 = 4x-15

Because of the verticle angles theorum, Angle 1 and 4 are congruent.

So:

3x+10 = 4x-15

    +15       +15

3x+25 = 4x

-3x         -3x

25 = x

Angle 1 = 3x + 10

But now we know what x is so now its (3 times 25) + 10 which is 85

Angle 1 and 3 are a linear pair so they are supplementary (add up to 180)

180-85=95

So, Angle 3 is 95 degrees

Because of the corresponding Angles postulate, 7 and 3 are congruent

So m<7 = 95 degrees

-10 - 2x < 6 and 6x + 12 < -6

Answers

Answer:

Step-by-step explanation

What the question about solve or what?

Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length of fending Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
v

Answers

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation

Someone help it’s due soon.

Rewrite the equation in Ax+By = C form.
Use integers for A, B, and C.
y+3 = 5(x+5)

Answers

y+3 = 5(x+5)

y+3 = 5x+25 ... distribute

y = 5x+25-3 ... subtract 3 from both sides

y = 5x+22

y-5x = 22 ... subtract 5x from both sides

-5x+y = 22 .... is one possible answer

5x-y = -22 ... is another possible answer

The difference is that I multiplied both sides by -1 so that the A term becomes positive.

In the year 2013 the population of Californiawas about 38,332,521 people. Write the
estimated population as a single digit times a
power of 10.

Answers

Use scientific notation a 3.83 x 10^7

How much is 3 nines?

Answers

Answer:

to the third power ?

Step-by-step explanation:

Answer:

The answer is 27!

Step-by-step explanation:

9 plus 9 equals 18 plus 9 equals 27!

I’m so confused does anyone know the answer

Answers

Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

could u vote me brainliest plz? thx :)

Yes I think it (5X45)

Find the unit price. 7 moive tickets for $56

Answers

Answer:

8

Step-by-step explanation:

56/7

Answer:

$8

Step-by-step explanation:

56 divided by 7 is 8, making the unit price 8 dollars per ticket

what is equivalent to
22c+33d

Answers

Answer:

11 (2c+3d)

Step-by-step explanation:

Answer:

11 x(2c + 3d)

Step-by-step explanation:

Could you please add answer choices next time?

-13=m-7 how can i get my answer

Answers

Answer:

m = -6

Step-by-step explanation:

-13=m-7

+7      +7

-6=m

Answer:

m=-6

Step-by-step explanation:

What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6

What is the first step in solving the equation b=r + 27 for r? A Add 21 to both sides. B Subtract 271 from both sides. C Multiply both sides by 2n. D Divide both sides by 27.​

Answers

Answer:

B. Subtract 2π from both sides.

Step-by-step explanation:

In order to solve for r, you are gonna want to isolate it. To do so, you first have to subtract 2π from both sides.

Between which two whole numbers number is the square root of 51

Answers

Answer:

Between 7 and 8

Answer:

7  < √ 51 <  8

√51 lies between 7 and 8

What were the Pairs (1, 1), (2, 8), (3, 27), (4, 64) and (5, 125) a present a function what is the rule that represents this function

Answers

Answer:

the rule is y=x^3

Step-by-step explanation:

2 times 4=8

3 times 8 is not 27

1 times 1=1

2 times 4=8

3 times 9=27

1 times 1^2=1

2 times 2^2=8

3 times 3^2=27

x times x^2=x^3

I hope this helps you! :)

-KeairaDickson

can someone please help me

Answers

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144

Plz help i only need c im confused lol 6th grade history

Answers

Answer: Upper: Kings, priests, warriors, and government officials.

Middle: artisans, merchants, farmers, and fishers

Lowest: enslaved people, who worked on farms.

Step-by-step explanation:

C. prisoners of farmers, and rich people/they were maids and cleaned up everything.

Other Questions
what did king Louis XVI propose to solve the countrys dept problem Which statement best describes the cell membrane of a living cell?A) It is composed of proteins and carbohydratesB) It has the same permeability to all substances found inside or outside the cell.C) It is a double protein layer that doesn't allow things to pass through it.D) It selectively regulates passage of materials into and out of the cell. What is the value of -1 - 8 - (-10)?reeee i need help should education be left to state control or brought to national control? Unions sought to improve workers pay and working conditions byhiring security guards to keep costs low.setting up an apprentice system.negotiating with employers.working together in company towns. Societies that practice assimilation try to deal with multicultural populations by:A. Allowing all cultural groups to freely express their beliefs B. Keeping members of different groups completely separate.C. Encouraging minority groups to adopt the majority culture. D. Demanding that minority groups leave the country immediately.Help soon please. If two data sets have a positive trend, which of the following is true?A) The leftmost points on the scatter plot of the data sets will tend to be higher than the rightmost points.B) The trend line for the scatter plot must have a positive slope.C) All of the points on the scatter plot must lie on the trend line.D) All of the above are true. Find the distance between -12 and 36 on the number line.distance Can you help me with all of them so 1-6 for them please Culture can spread when people force others to leam new languages and traditions. This is best described as cultural diffusion through what? A conquest B. migration C. technology D. media Please select the best answer from the choices provided. is 1/5-x equivalent to x-1/5 Which of the following freedoms does the First Amendment include?the freedom to bear arms and the freedom of speechthe freedom of assembly and the freedom of religionprotection against illegal search and seizureprotection against illegal harassment Which of the following best complete the title for the box The picture shows fruit produced by two parents and fruitproduced by one of their offspring.Which of these best describes this inheritance pattern?O codominance because he fruit color of the offspring isan intermediate form of the parents' fruit colorO codominance because both parents' colors areexpressed in the offspringO incomplete dominance because both parents' colorsare both visible in the offspringO incomplete dominance because the fruit color of theoffspring is an intermediate form of the parents' fruitcolor The author says the goblin shark's snout helps it find food. What evidence is offered as support?OA.The snout gives off electric signals.OB.The snout helps it smell nearby sea animals.OC. The snout looks like a metal detector.OD. The snout has sensors that detect sea animals. I WILL MARK BRAINLIEST!Why does an autopsy include an examination of all the body systems and not just the suspected cause of death? For example, if a victim has massive head trauma from an automobile accident, why is a complete autopsy performed, including a toxicology report? I NEED HELP PLEASE !!! The difference of two numbers is 12 while their product is 45. Find allsuch numbers morgan worked 39.5 hours one week, 40.75 hours the next week. if morgan receives $8.71 per hour wages, plus 1.5 times their base pay for all hours 40 hours a week, what is Morgan's Gross pay the the two weeks What conclusion can the reader draw from this excerptabout the speaker's viewpoint of Mrs. Long?O She felt that Mrs. Long was the only one whounderstood her.O She believed that Mrs. Long wanted to travel asmuch as she did.O She considered Mrs. Long to be both a guide and amentor.O She wished that Mrs. Long would share more storiesabout the world.