1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Answers

Answer 1

9514 1404 393

Answer:

x = x+10 = x+1x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x


Related Questions

The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?

Answers

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

Help tell me the numbers in order

Answers

cost to park of a day is= $25+$43+$61+$79 =$208

and the hourly rate to a paddle boat=208÷24=$8.6 per hour

Given that 35.8 x 4.23= 151.434
write down a division sum with an answer of 423.​

Answers

Answer:

  151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

  a·b = c   ⇒   a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

  4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

  423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

  151434/358 = 423

Find the product (3a- 4a)^2

Answers

I’m not sure but i think it’s either -1a or -7a (depends if u do the exponent or what inside the brackets first)

Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE​

Answers

Answer:

y= 1/6x + 8

Step-by-step explanation:

[tex]\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.[/tex]

b) Solve x ^ 2 + 5x - 14 = 0

Answers

[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows:  (x + 7)(x - 2).  Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

please help me guys thank you :) !

Answers

Step-by-step explanation:

y=-2(-6)-5

y=12-5

y=7

y=-2(-3)-5

y=6-5

y=1

y=-2(0)-5

y=-5

y=-2(3)-5

y=-6-5

y=-11

The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam

Answers

Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

14x-21y
factorise this equation

Answers

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

Plz actually answer cuz i need the answer for that grade upgrade

Answers

Answer:

The answer is I think the opened circled -> but I'm not 100% sure

Step-by-step explanation:

Problem #3
Imagine you are building a triangular garden. Two sides of the garden measure 230 ft and
360 ft and the included angle between these two sides of the garden measures 38°. What is
the measure of the third side?
С
230ft
38
360ft

Answers

Answer:

b = 115.4 feet

Step-by-step explanation:

b^2 = a^2 + c^2 - 2 (a)(b) x cos B

b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)

b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)

b^2 = 182,500 - 165,600 x cos(38 degrees)

b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]

b = 115.4 feet

i hope this helps!! :)

Answer:

115.4 ft

Step-by-step explanation:

HELP ME GUYS PLEASE ! :)

Answers

in order:

y=6

y=16

y=26

y=31

The value of -2 is_________the value of 1.5 because-2 lies to the__________of 0 and 1.5 lies to the_________of 0 on the number line.

Answers

Answer:

The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line

Step-by-step explanation:

Your softball team is ordering equipment from a catalog. Each bat costs $42. The cost of shipping is $12 no matter how much you order. The total cost is $348. How many bats did your team order?

Answers

348 - 12 = 336


8.
———
42 | 336


The answer is 8

Write an equation in slope-intercept form that describes the line through the points (-2,6) and (3, 1).

Answers

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-6)/(3-(-2))

m=-5/(3+2)

m=-5/5

m=-1

y-y1=m(x-x1)

y-6=-1(x-(-2))

y-6=-(x+2)

y-6=-x-2

y=-x-2+6

y=-x+4

What is 7.15-0.274???

Answers

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

need answer quickly plzxzz

Answers

Answer:

Scalene Right

Step-by-step explanation:

Has a right angle and all sides are of different lengths

Answer: Scalene Right

What is the answer for the explanation

Answers

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

The price of a train ticket from listen to cancel is normally do $146 however the Dre company is offering a special 55% of discount to children under the age of 16 what is the sale price of the ticket from Lexington to Kansas City

Answers

Answer:

80 or 80.3

Step-by-step explanation:

You have to find what is 55% of 146

first set up your fractions. [tex]\frac{n}{146}[/tex] =[tex]\frac{55}{100}[/tex]

for the fraction on the left the denominator is the whole amount (146) and n is the unknown number

For the fraction on the right, the numerator is where the percent goes (55) and the denominator is always 100

Next you multiply using the butterfly method

you multiply across. 146 x 55, which is 8030, and 100 x n, which is 100n,

Now divide 8030 by 100

All you have to do is move the decimal two places, since there are two zero's, and you get 80.3

When you round 80.3 you get 80

hope this helps :)

875537= ? x 10^? i need help on this question

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The given value can be expressed as ~

[tex] \sf8.75537 \times 10 {}^{5} [/tex]

A shopkeeper orders a special brand of coffee powder to be delivered to
him. A packet of this coffee powder cost $2. These packets are packed into
containers which cost $3 each. Each container can hold 30 packets. A van
delivers 60 containers of this coffee powder to the shop and charges $20 for
transport, How much does the shopkeeper pay altogether?

Answers

Answer:

$3800

Step-by-step explanation:

30 x 2 = 60

60 + 3 = one container

60 containers = 63 x 60

3780 + 20

3800

Jerry took a test that had 45 questions on it. He got 36 correct. Enter the
percentage of questions Jerry got correct.

Answers

Answer:

80% is what he got on the test

Can someone please help?

Answers

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

PLEASE HELP‼️‼️ILL MARK BRAINLYEST ‼️‼️I MEAN IT PLEASE ‼️‼️‼️‼️‼️‼️‼️15 POINTS PLEASE ‼️‼️
Given the two similar triangles below, which proportion is not true?

Answers

Answer:

1. Yes;   2. Yes ;     3. No;       4. Yes

Step-by-step explanation:

The proportion will have to be read the same way.  For example top Δ bottom  to the lower Δ bottom (locate in the same place)

14/21 = 6 /9     Yes  because the top Δ bottom to lower Δ bottom = top side to  

                         lower same side

13.5/21 = 9/ 14   Yes    because the same two sides to the same two sides in

                                     the lower Δ  

9/13.5 = 6 21      No   because top Δ side to lower Δ same location  but the

                                  second one top Δ side to the lower bottom

14 /6 =  21/6      Yes   because top Δ bottom to top side = lower Δ bottom to

                         lower side (in the same place)

Adding this so you can give the other dude the brailyist

Martin filled the pool with 54000 gallons of water.
He paid £2.38 for each 1000 gallons of water.
Work out the total amount he paid for 54 000 gallons of water.

Answers

Answer:

£128.52

Step by step:

54,000 ÷ 1,000 = 54

54 * £2.38 = £128.52

Graph y > 1 -3x
A
B
C
Or D

Answers

Answer:

D (You got it right.)

Step-by-step explanation:

Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.

4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento

Answers

Answer:

300

Step-by-step explanation:

Let x represent number of girls.

18 girls / 30 students

x girls / 500 students

18/30 = x/500

x = 18/30 x 500

x= 300 girls

Therefore there are approximately 300 girls in the school.

Can anybody measure this as an SSS, SAS, and ASA angles?

Answers

well it depends if there was any markings but looking at that picture theres no markings so it cant be measured by any.

i'm sorry i can't answer because i can't see the marks but i would help if i could

What two numbers add to -6 and multiple to 6

Answers

-3 x -3
-3 + -3

there’s ur answer!

estimate the area of the following irregular shapes
will give brainliest.

Answers

Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.

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