will a one variable equation always have only one solution

Answers

Answer 1

Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.

Step-by-step explanation:

Answer 2

We want to see if a one-variable equation always has only one solution.

This is false, as one-variable equations can have no solutions or more than one solution.

So we start with the statement:

"A one-variable equation always has only one solution".

We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:

x^2 - 4 = 0

This is a one-variable equation, and solving it we have:

x^2 = 4

x = ± √4 = ±2

So here we have two solutions, 2 and -2, thus the statement is false.

If you want to learn more, you can read:

https://brainly.com/question/16797952


Related Questions

the area if a rectangle is 7 ¼ with leangth 2⁵/⁷ calculate its breadth​

Answers

Answer:

Can u explain it one more time their is alot of spelling errors

what is the product of 3.54 and 3.7? show work / explain please!

Answers

Answer:
Picture with working out

find x=, if x-5=10 HURRY!!!!

Answers

x=15 because 15-5=10

A rectangular paddock has perimeter 100 m. Find the width of the paddock if its length is 30 m.

Answers

Answer:

Step-by-step explanation:

W= L x 2/P

= 30 x 2/ 100

= 60 /100 = 0.6

Write the equation for this line in slope-intercept form.
y=-2x+?

A. -4
B. 2
C. -2
D. -1/2


Please explain as simply as you can I'm really struggling. Also will give brainly

Answers

Answer:

The answer is A. -4.

Step-by-step explanation:

The missing value you are looking for is the y-intercept or where the line crosses the y axis.

Your answer would be A. -4 because that’s where your line intercepts the y-axis

Five friends share 6 snacks equally.
How many fruit snacks will each friend get?

Answers

Each friend gets one and one fifth. (1 1/5)

Answer:

A

Step-by-step explanation:

Dan drives 23 miles to work every day. He works 5 days a week. How many miles does he travel to and from work over 52 weeks?

Answers

Answer:

Step-by-step explanation:

They make it sound like it is 23 miles one way.

2(23)5(52)

11960 miles

what is the classification of the triangle by its angles and by its sides??
ANSWER ASAP!!! PLS

Answers

Answer:

right triangle

Step-by-step explanation:

whenever there is a box in the corner it means its 90° and 90° is a right angle.

Jeffrey rented a car for spring break. It costs $100 to rent the car plus $8 per mile he was charged $1,316. How many miles did he drive.

Answers

Answer:

152 miles

Step-by-step explanation:

Answer:

he drived around 300 mile

In the figure, kj and are opposite rays. 21 & 22 and KM
bisects NKL
Р
2
134
NM
L
What bisects ZJKN?

Answers

Answer:

P 2 134 2×384

Step-by-step explanation:

24×(345)3\

Which side lengths represent the sides of a right triangle?
A)
1, 1, 2
B)
2, 3,5
C)
5, 12, 13
D)
7, 23, 25

Answers

Answer: the answer is C

Step-by-step explanation:

My friend is a math teacher

Hope this helps

Can someone help me please?! I’ll make you brainlest.

Answers

6256 I think I used a online calc sry if wrong

Solve the following system of equations graphically on the set of axes below.
y= 2x-2
y= -x+7

Answers

Answer:

x=y + 2

2

y=2(x - 1)

Step-by-step explanation:

y=2 x -2

swap sides so that all variable terms are on the left hand side

2x - 2 =y

add 2 to both sides

2x = + 2

Divide both sides by 2.

2 x = y + 2

2. 2

Dividing by 2 undoes the multiplication by 2.

x = y + 2

2

Divide y +2 by 2.

x = y + 1

2

I need help with 4,5,6

Answers

Answer:

4. 3. 10

5. 1102.31

6. 17.37

Step-by-step explanation:

Nathan Reynolds bought a car for $15,000. He made a down payment of $3,000. Nathan secured a loan for the balance of the purchase price at 8 percent interest for four years.
determine the monthly payment and total interest

Answers

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

The monthly payment on a loan is given by the following formula

[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

A = The payment amount made  monthly

P = The principal or loan amount = $12,000

r = The interest rate divided by 12 = R/12 = 8/12 = 2/3

n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84

The total payment made in the 48 months ≈ $14,061.84

The total interest = (The total payment made in the 48 months) - (The loan amount)

∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84


3x + 80 = 12x - 1
what’s the value of x ?

Answers

Answer:

9

Step-by-step explanation:

3x+80=12x-1

80=12x-3x-1

80=9x-1

9x=80+1

9x=81

x=81/9

x=9

can you say it in order

Answers

10, 8, 12 are the answers in order.
10
8
12
You add 8 to each of them

What is the area of the real bedroom?

Answers

Answer:

area of real bedroom = 32 cm²

hope it helps..

Answer:

Bedroom: 32 cm living room: 81 cm

Step-by-step explanation:

Bedroom: 4 x 8 = 32

Living room : 9 x 9 = 81

( if combining bedroom and living room, it’s 113 cm)(81 + 32 = 113)

Hope this helps

if m1=2x° and m3=3x° what is m1

Answers

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

[tex]2x + 90 + 3x = 180[/tex]

[tex]5x + 90 = 180[/tex]

[tex]5x = 90[/tex]

[tex]x = 18[/tex]

Plug 18 into 2x

[tex]2(18) = 36[/tex]

What’s the slope of line 1

Answers

Answer:

the slope in line 1 is a

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

→ Utilise the gradient formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(2 - -6) ÷ (1--1)

→ Simplify

4

please help ! 2.5 : 12.5 reduce the following into ratio of whole number.??​

Answers

The answer is ratio 1:5 by reducing the ratio, 2.5 times 5 is 12.5

April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?

Answers

Answer:

Disagree

Step-by-step explanation:

The lines are parallel, which means they have different y-intercepts but the same slope.

April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.

I need help on this question

Answers

I believe this is pythag

15^2 x 11^2 = 27225

(square root) of 27225 = 165

165ft

what's the difference between five times a number and twelve

Answers

Step-by-step explanation:

Answer: Difference between five tmes a number and twelve is seven

Find the surface area of the pyramid. The side lengths of the base are equal.
there are 3 sides and a bottom

the base is 12 and the height is 17

Answers

if the side lengths of the base (12) are equal, then they are both 6. so the answer rounded to the nearest tenth is 148.7

1 Calcula de la medio aritmética, la mediana
y la moda. Se analizó el IVA que se oplico
en diversos países europeos, a la compra de
obras de arte. Los resultados obtenidos
fueron los siguientes:
PAIS
España 0,16
Holia 0,20
Belgica 0,06
Holanda 0.06
Alemania 0,07
Portugal 0,17
Luxemburgo 0,06
Finlandia 0,22.​

Answers

Answer:

Step-by-step explanation:

orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .

Which value is greater 4/5 or 70%

Answers

Answer:

4/5

Step-by-step explanation:

4/5 = .8

70% = .7

Answer:

4/5

Step-by-step explanation:

Find the area of the semicircle. 10

Answers

Exact Area = 25pi   square units

Approximate Area = 78.5  square units

The approximate value is found using pi = 3.14

====================================================

Explanation:

I think you meant to say "quarter circle" instead of "semicircle".

The area of a full circle with radius r = 10 is

A = pi*r^2

A = pi*10^2

A = pi*100

A = 100pi

But we only want one quarter of this. So we divide the full area by 4

(100pi)/4 = (100/4)pi = 25pi

The exact area in terms of pi is 25pi square units

If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area

To get a better approximation, use more decimal digits in pi.

Maria had 6 feet of ribbon. She will cut the ribbon into pieces that are 2/3 of a foot long. How many pieces of ribbon will Maria have?please solve!

Answers

Answer:

2/3 x 9 = 18 divided by 3 = 6

answer is 9

what is the percent of change from 85 to 64

Answers

Answer:

-24.71%

Step-by-step explanation:

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