What does “No values of x make the equation true.” Mean?

Answers

Answer 1

Answer:

It means that there is no solution to the equation

Step-by-step explanation:

Answer 2

Step-by-step explanation:

There are some equations for which there is no value of x that can make both of them true at once.

Take  [tex]\frac{1}{x+3} +\frac{1}{x-3} =\frac{6}{x^2-9}[/tex]  as an example. Let us see what happens when we try to solve for x.

[tex]\frac{1}{x+3} +\frac{1}{x-3} =\frac{6}{x^2-9} \\\\\frac{x-3}{x^2-9} +\frac{x+3}{x^2-9} =\frac{6}{x^2-9} \\\\\frac{2x-6}{x^2-9} =0\\\\\frac{2(x-3)}{(x+3)(x-3)} =0\\\\\frac{2}{x+3} =0\\\\2=0(x+3)\\\\2=0[/tex]

As you can see, the end of our "solution" gave us 2=0, which is not true. This means that there are no solutions to this equation. Therefore, there are no values of x to make this equation true.


Related Questions

GEOMETRY PROBLEMS PLEASE HELP ME

Answers

Answer:

12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)

13) The graph shows that both angles are congruent so that means:

2x+8= x+22

2x= x+14

x=14

14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)

15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)

16) Angles ADC and FDE are vertical because they are opposite of each other

17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)

Hope this helps! ;)

PLEASE IM BEGGING YOU please answer i’ll do anything i need in 10 minutes please

Answers

Answer:

1.                           2.

   -3, 4                      -3,  2

   -1,  2                       0,  1

   0, 1                         3,  0

   4, -3                      6,  -1

Step-by-step explanation:

100 PTS!!!! Enter numbers into the table so that the paired values are in a proportional relationship.
x 1 2 3 [_} 5



Y [__} 10 15 20 25

Answers

Answer:

Answer is

1,2,3,4,5

5,10,15,20,25

just did the k12 test

Answer:

1,2,3,4,5

5,10,15,20,25

Step-by-step explanation:


If an items costs $41.04, including an 8% sales tax, what was the cost of
the item before taxes?

Answers

Answer:

$38

Step-by-step explanation:

I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.

You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.

A percentage is a number or ratio that represents a fraction of 100. 

If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.

What is a percentage?

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Cost of an item including tax = $41.04

Sales tax = 8%

8% = 8/100

The cost of the item without the sales tax:

= 41.04 - (8% of 41.04)

= 41.04 - (8/100 x 41.04)

= 41.04 - 3.2832

= 37.76

Thus,

The cost of the item before the tax is $37.76.

Learn more about percentages here:

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Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x.

Answers

Answer:

The answer is 56

Step-by-step explanation:

The equation is Y=56x+4 I think

The equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

Given that, bus X travels 224 miles in 4 hours.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The coordinate points of a line from the given graph are (4, 224) and (1, 56).

Here, slope (m) = (56-224)/(1-4)

= -168/(-3)

= 168/3

= 56

Put m=56 and (x, y)=(4, 224) in y=mx+c, we get

224=56(4)+c

⇒ c=0

Substitute m=56 and c=0 in y=mx+c, we get

y=56x+0

⇒ y=56x

Therefore, the equation of the line that describes the relationship between distance y and time x from the given graph is y=56x.

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If $1000 is invested in an online saving account earning 8% per year, how much will be in the account at the

end of 10 years if there are no other deposits or withdrawals and interest is compounded:

would it be, semiannually, quarterly, daily, continuously?

Answers

Answer: $2208.04

Step-by-step explanation:

Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5

Answers

no

Step-by-step explanation:

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

1. 70

2. 30

Step-by-step explanation:

ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.

13. Which of the following pairs of triangles can be proven congruent by ASA? B Х A. W . Х A 00 w B. C. w Y B A D. w​

Answers

Can you put an image w it like yeah agin but put an image w it it would help along more

PLEASE ANSWER ASAP!!!!!!!
if 20% of some value is 400, then what is the missing value?

Answers

Answer:

Step-by-step explanation:

If 20% of some value is 400 in the missing values 80 20% x 400 is 80

The missing value is 2000 .

How to calculate the percentage of an amount ?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we imply that it is 50% of everything.As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any topic are calculated in terms of percentages in academics.

Calculations :

                  =       Based on the given conditions, formulate =  40/20%

                  =      Convert the percentage to decimals = 400/0.2

                  =      Multiply both the numerator and denominator

                          with the same integer =   4000/2

                  =      Cross out the common factor =  2000

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What is the formula for finding distance?

Answers

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

solve for x and y
x +2y= -6
-5x+4y=2

Answers

Answer:

y=1/2+5x/4

x=−6−2y

Step-by-step explanation:

i hope this helped :)

Use the variable, n, to write an expression for seven less than a number.

Answers

Answer:

n-7 would be the equation

Answer:

n - 7

Step-by-step explanation:

n - 7

What could be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other?

Answers

Answer:

C. PR and SQ have the same midpoing

Step-by-step explanation:

The theorems that could be shown hat the diagonals of parallelogram PQRS bisect each other are explained below.

Let the point where the diagonals intersect be called Point T.

Now, looking at the parallelogram, we can say that;

∠QPT = ∠SRT (This is because the alternate angles between 2 parallel lines are always equal)

Secondly, ∠PQT= ∠RST.

This is This is because the alternate angles between 2 parallel lines are always equal.

Thirdly; ∠PTQ=∠RTS

This is because they are vertically opposite angles.

Now, from AAA congruence theorem, we can say that;

△PTQ is congruent to △RTS.

Thus, we can say that;

PT = RT and QT = ST

This proves that they bisect each other.

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BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.

Answers

Answer: (compiled from google)

One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.

A full revolution of a circle ( 360 ∘ ) equals  2 π   r a di a n s. This means that  1  radian = 180 ∘ π .  

The formula used to convert between radians and degrees is  angle in degrees = angle in radians ⋅ 180∘ π .

The radian measure of an angle is the ratio of the length of the arc to the radius of the circle  ( θ = sr ) . In other words, if  s  is the length of an arc of a circle, and  r  is the radius of the circle, then the central angle containing that arc measures radians.

Key Terms

arc: A continuous part of the circumference of a circle.

circumference: The length of a line that bounds a circle.

radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.

The  x – and  y -coordinates at a point on the unit circle given by an angle  

t  are defined by the functions  x = cos t  and  y = sin t .

Although the tangent function is not indicated by the unit circle, we can apply the formula  

tan  t = sin  t  cos  t  to find the tangent of any angle identified.

Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than  90 ∘ .

The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.

Key Terms

periodicity: The quality of a function with a repeated set of values at regular intervals.

unit circle: A circle centered at the origin with radius 1.

quadrants: The four quarters of a coordinate plane, formed by the  x – and y -axes.

If this doesn't help I appologize

Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:

Answers

Answer:

−2.8 or - 2 8/10

Step-by-step explanation:

hope that helps

What's the range in the question below. Please answer one of the answer choices.

Answers

Answer:

yo I'm doing the same thing

A certain stock sold for $43.50 on Monday. The sale price dropped $2.75 on Tuesday. The price dropped $4.50 on Wednesday. How much did each share sell for at the beginning of the day on Thursday? Explain your answer.

Answers

Answer:

36.20

Step-by-step explanation:

add 2.75 and 4.5 which gets you to 7.25 and subtract your 7..25 from 43.50

(Not sure if this is what you were looking for)

What is the polynomial of least degree with the given zeroes O with a
multiplicity of 3, -1 with a multiplicity of 2, i, and -i?

Answers

Answer:

the answer is by making this question make sense and less confusing

Step-by-step explanation:

ill give brainliest please help.

Answers

Answer:

A = 5

Step-by-step explanation:

Write a mathematical sentence that expresses the information given below. Use s as your variable name If necessary : type to mean If you need to show multiplication , do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Mr. Jones's algebra class has too many students in it. If the class were split exactly in equal parts to form 3 new classes, each class would have no more than 14 students in it.

Answers

Answer:

s*3=42

Step-by-step explanation:

s= no. of students

* is used for multiplication sign

s*3=42

s=42/3

s=14

Answer:

ˢ⁄₃ ≤ 14

s ≤ 42

Step-by-step explanation:

This question requires you to apply your algebra knowledge to create an equation (in this case, an inequality) using variables and information. We need to translate the phrases into basic operations.

S would represent the number of students in Mr. Jones's Algebra class.

The info says "if the class were split exactly in equal parts to form 3 new classes." The words 'split' and 'in equal parts' indicate that we need to use the division operator (or a fraction). The "3 new classes" tell us by how many to divide by (the denominator of the fraction). So we write

ˢ⁄₃

The next part forms the inequation. "each class would have no more than 14 students in it"

The "no more than 14" tells us each class can either be 14 or less, so we should use the lesser or equal to sign (≤). So now we join the parts together:

ˢ⁄₃ ≤ 14

Since we now have an equation/inequation and have enough information, we can solve for s (the number of students in Mr. Jones's algebra class).

s ≤ 42

What we have done here is translate the given information into a mathematical sentence

In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.

Answers

Answer: 0.48 .

Step-by-step explanation:

The sample proportion is a ratio of number of successes in a sample to the sample size.

Let p be the proportion of voters actually voted for the Republican presidential candidate.

Given:   In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.

Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]

Hence, the sample proportion is 0.48 .

What is the coefficient of 4x^2 ?

Answers

It has a coefficient of 4 :)

The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours

Answers

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240

9.81 rounded to the nearest 10th is what?

Answers

Answer:

9.80

Step-by-step explanation:

I need a girl and yes I understand I’m on the wrong website please don’t report smh

Answers

Answer:

lol, what for?

Step-by-step explanation:

Answer:

So the answer would be B.

Step-by-step explanation:

This is not the right site like you said also no one knows your age or what you look like so good luck buddy.

9. Which expression is equivalent to 14(8x−36)+2x? (1 point)

a. 10x - 36

b. 30x

c. 4x - 9

d. 4x - 36

Answers

Answer:

Step-by-step explanation:

14(8x-36)+2x

112x -504 +2x

114x-504

Help me please pleasessssss

Answers

0.2 because 0.02 times 10 makes it 0.2

The rabbit population in a forest area grows at the rate of 9% monthly. If there are 242 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected next September. Use
y
=
242
(
2.7
)
0.09
t
y
=
242
(
2.7
)
0.09
t

Answers

Answer:

503 should be the answer

Step-by-step explanation:

Answer:

i think its 503

Step-by-step explanation:

242 multiplied by 0.09 = 21.78

21.78 multiplied by 12 = 261.36

added by 242 = 503.36


If 6 x 7 = 26 +0, find the number that belongs in the box.
211

Answers

Answer: 185 sorry if wrong
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