How do you know if an expression has infinitely many solutions?

Answers

Answer 1

When you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

If you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.

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Related Questions

What are the solutions to the equation (x−32)2=56?

x=±2√22
x=32±2√ 14
x=4√5±2√14
x=±2√6

Answers

Answer:

         [tex]\bold{ x=32\pm2\sqrt{14}}[/tex]

Step-by-step explanation:

                                             [tex](x-32)^2=56\\\\x-32=\pm\sqrt{56}\\\\x=32\pm\sqrt{4\cdot14}\\\\ x=32\pm2\sqrt{14}[/tex]

Add.
-1 + 2 = 1
- 6 + (-5)

Answers

Answer:

-6 + -5 = -11

Step-by-step explanation:

How many distinct, real solutions does the following equation have?
x^2=49
A) Two distinct, real solution
B) One distinct, real solution
C) No solutions

Answers

Answer:

A) two          (they are 7 and -7)

Step-by-step explanation:

Daryl jumped off of a diving board, and dove into a pool. The graph below shows his height relative to the surface of the water over time, where Daryl’s height (y) is measured in meters and time (x) is measured in seconds. Which of the following statements are true? (Please select all options which are true.)

Answers

Answer:

B,D,E

Step-by-step explanation:

Not entirely sure

explain why the expression 2y-y can be written as why

Answers

Answer:

y

Step-by-step explanation:

2y-y=y

Answer: 2y-y can be written as y because 2y means you have 2 y’s and 2y’s minus 1 y is just 1 y

Step-by-step explanation:

1. 3x + 2y - Z-6
a) 3 terms
b) 5 terms
c) 4 terms
d) 6 terms
PLEASE HELP

Answers

Answer:

c) 4 terms

Step-by-step explanation:

3x is 1 term ,2y is 1 term,z is 1 term,6 is also 1 term

so in all there are 4 terms

what is the answer to 4 - (-4)

Answers

The answer to this question is 8

Two side of a triangle have the following measure 11 and 12. Find the range of possible measure for the third side.

A) 2 B) 3 C) 1 D) 1

Answers

3 i’m pretty sure !

Please asnwer the picture

Answers

Answer is A. 11
7/8 divided by 1/8 is 7
7 +2^2 = 7+4 = 11

Write the converse, inverse and contrapositive of each conditional statement, and tell if the resulting statement is True or false

2. If mA = 100, then is not a right angle.
Converse:
Inverse:
Contrapositive:​

Answers

Answer:

See below.

Step-by-step explanation:

It's good to recall what these terms mean:

Conditional statement: if p then q

Converse: if q then p

Inverse: if not p then not q

Contrapositive: if not q then not p

Conditional statement:

If m<A = 100, then <A is not a right angle.

p = m<A = 100

q = <A is not a right angle

Converse:

If angle A is not a right angle, then m<A = 100.

False. An angle that is not a right angle can have many measures other than 100 degrees.

Inverse:

If the measure of <A is not 100 degrees, then <A is a right angle.

False. If an angle has a measure of other that 100 degrees, it can have many measures in addition to 90 degrees, so it is not necessarily a right angle.

Contrapositive:

If angle A is a right angle, then m<A is not 100 degrees.

True. Only a right angle has a measure of 90 degrees, so an angle with measure 100 deg cannot be a right angle.

simplify: 4 (3y +x) please show your work

Answers

Answer:

12y+4x

Step-by-step explanation:

Multiply 4*3y and 4*x

Distributive property

Olivia has at most 90$ to spend on clothes she wants to buy a pair of jeans for 22$ and spend the rest on shirts that cost 8$ each what is the greatest number of shirts she can buy

Answers

Answer:the greatest number of shirts she can buy = 8

Step-by-step explanation:

Amount of money Olivia  has =$90

cost of pair of jeans =$22

such that if she buys the pair of jean, Money left to buy shirts = $90-$22= $68

If 1 Shirt= $8

Number of shirts she can buy with $68 = $68/$8=  8.5= 8 1/2

Therefore the greatest number she can buy = 8 shirts.

This cylinder has a volume of 392\pi392π cubic inches and a diameter of 14 inches. Find the radius and the height.

Answers

Answer:

15688

Step-by-step explanation:

Find the value of x:
A. X = 41.0
B. X = 122.0
C. X = 61.0
D. X = 120.5

Answers

Step-by-step explanation:

hope this will help you..

Sami lights up a candle every 10 minutes. Every candle burns for exactly 40 minutes. How many candles are burning exactly 55 minutes after Sami lit up the first candle?

Answers

Answer:

4

Step-by-step explanation:

Candle is lit every 10 minutes :

Number of candles lit in 55 minutes:

Starting from 0 minute ; Numbe rod candles lit on 55 minutes = 6

1st candle burns out after 40 minutes

Second burns out after 50 minutes

Third will burn out after 60 minutes

Hence Number of candles still burning :

Number of candles lit - Number of candle burnt out

6 - 2 = 4 candles

01:53:18
Which inequality represents the sentence below?

Two more than a number is less than 14.
2 + n less-than-or-equal-to 14
2 + n less-than 14
2 + n greater-than-or-equal-to 14
2 + n greater-than 14

Answers

Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020-2021 <3

b/4 = 3.2 help me plz

Answers

Answer:

Step-by-step explanation:

B/4=3.2

B=12.8

What time is it in Vietnam right now?

Answers

Answer:

it's

3:26 pm to be exact!

Step-by-step explanation:

15:26

Friday,19February 2021

I hope it's helpful!

URGENT PLEASE HELP ASAP

Answers

AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO

Necesito ayuda con el punto 4

Answers

Can’t see pictures and translate in English
Lo siento, pero no veo la foto.

Can someone please help me ASAP? What are the points? Point: (_, _)

Answers

Answer:

Step-by-step explanation:

I believe the point is 2:5

Hope this helps

chase bought his dream car ,a chevy corvette, for $58,735. sales tax is 5% where chase lives what is the total price chase paid for the corvette?

Answers

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

Which of these rational numbers is also an integer?
1. 2/4
2. 0.24
3. 4/2
4. 2.4

Answers

Answer:

Ce clasă ești sa văd daca te pot ajuta

Answer:

3. 4/2

Step-by-step explanation:

Easier way to explain it is the numerator or the top number is higher then the denominator or the bottom number.

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

Answers

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

[tex]\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\[/tex]

[tex]Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0[/tex]

Plz help ill mark brainlest

Answers

Answer:i believe its 3 correct me if im wrong

Step-by-step explanation:

Answer:

either 6/10 or 7/10

Step-by-step explanation:

HELP it is due tomorrow and I am super super stuck I have been doing this one for the last 2 days and did I make any progress? NOOOOOOOOOO I GIVE UP

Answers

Step-by-step explanation:

First thing you need to do is Slope - intercept form of the line going through point A and B.

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

To get slope: [tex]\frac{y2 - y1}{x2-x1}[/tex]

Lets set point A as point1 (x1, y1) and point B as point2(x2, y2).

x1 = -4

x2 = 8

y1 = 6

y2 = 3

If you plug these numbers in the slope equations:

[tex]\frac{3 - 6}{8 - 4}[/tex] = [tex]\frac{-3}{4}[/tex]

m = [tex]\frac{-3}{4}[/tex]

So a parallel line is a line that has a different b value but the same slope value.

To get b  for the parallel line : we need to substitute the x and y for a given point (0,-2).

which will make -2 = 0([tex]\frac{-3}{4}[/tex] ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y = [tex]\frac{-3}{4}[/tex] x -2

-30-0.6k
what does k equal?​

Answers

Answer:

K would equal to:

K= 50

Hope that helps! :)

Step-by-step explanation:

A man is cycling in a place where wind is blowing. He travels 12 km against the direction of the blowing wind. In doing so, he took the same time while going 28 km in the direction of the wind. Find the speed of the wind. ( Hint - When the man is cycling in the direction of the wind, wind speed is added to his speed; otherwise it is subtracted.)

Answers

Answer:

The speed of the wind is 4.8 km/hr

Step-by-step explanation:

The parameters of the motion of the man are;

The distance the man travels in the given time while moving against the wind = 12 km

The distance the man travels in the giving time while going with the wind = 28 km

From search online for of a similar question, we have;

The speed with which the man is cycling = 12 km/hr

Let. 't', represent the time the travels each distance, let 'w', represent the speed of the wind and let 'v' represent the speed of the man, we have;

Time, t = Distance, d/(Velocity, v)

The resultant speed of the man when he travels against the wing = v - w

The resultant speed of the man when he goes in the the wing = v + w

Therefore, we have;

12/(v - w) = 28/(v + w)

12·v + 12·w = 28·v - 28·w

12·w + 28·w = 28·v - 12·v = 16·v

40·w = 16·v

∴ w = (16/40) × v = (2/5) × v

The speed with which the man is cycling = 12 km/hr

∴ The speed of the wind, w = (2/5) × v = (2/5) × 12 km/hr = 4.8 km/hr

The speed of the wind = 4.8 km/hr.

Graph the image of △JKL after a reflection over the line y=x

Answers

Answer:

K (2,-4)

L (4,-6)

J (2,-9)

Step-by-step explanation:

The required graph of the image of △JKL after a reflection over the line y=x has been attached below.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle △JKL is given in the represented graph, which vertices are as follows :

J (-9, 2)

K (-4, 2)

L (-6, 4)

The image of △JKL after a reflection over the line y = x will be triangle △J'K'L' that vertices are as follows :

K' (2,-4)

L' (4,-6)

J' (2,-9)

Hence, the required graph of the image of △JKL after a reflection over the line y=x has been attached below.

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Help with math

Find CE.

Answers

Answer:

6

Step-by-step explanation:

if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.

9514 1404 393

Answer:

  CE = 10

Step-by-step explanation:

Assuming BC is parallel to DE, that segment divides the sides proportionally.

  CE/CA = BD/BA

  CE/25 = 6/15

  CE = 25(6/15) . . . . multiply by 25

  CE = 10

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