describe the values of c for which the equation has no solution. explain your reasoning.

|x-7|=c ​

Answers

Answer 1

Answer:

c=|x-7|

Step-by-step explanation:

Answer 2

The values of "c" for which the equation |x - 7| = c has no solution are any values of "c" that are less than or equal to zero.

The equation |x - 7| = c represents the absolute value of the difference between x and 7, which is equal to the constant "c."

For an absolute value equation like this, there are two cases to consider:

When (x - 7) is nonnegative (or zero): In this case, the absolute value of (x - 7) is just (x - 7) itself. So the equation becomes:

x - 7 = c

When (x - 7) is negative: In this case, the absolute value of (x - 7) is the negative of (x - 7). So the equation becomes:

-(x - 7) = c

-x + 7 = c

Now let's analyze these cases to determine the values of "c" for which the equation has no solution:

Case 1: x - 7 = c

If "c" is positive, then we can solve for "x":

x = c + 7

This solution is valid for all values of "c" because it provides a real solution for any positive "c."

Case 2: -x + 7 = c

If "c" is positive, we can solve for "x":

x = 7 - c

This solution is valid for all values of "c" because it provides a real solution for any positive "c." positive value of "c" will have a valid solution. However, if "c" is negative or zero, then there is no real value of "x" that satisfies the equation. This is because the absolute value of a real number is always nonnegative, so if "c" is negative or zero, there is no real value of "x" that can make |x - 7| equal to a negative or zero "c."

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Related Questions

help please finding the third side

Answers

Answer:

as it is a right angled triangle

we can find its 3rd side with the help of hypotenuse formula.

according to it

h² = a² + b²

here,

h = hypotenuse i.e. longest side of a right angled triangle

a = side

b = base

now,

a/q we have to find h (or hypotenuse) of the right angled triangle

h² = (12)² + (5)²

h = 144 + 25

h = 169

h² = √169 = 13

therefore, 3Rd side of the triangle is 13.

is most right answer

Step-by-step explanation:

Step-by-step explanation:

as it is a right angled triangle

we can find its 3rd side with the help of hypotenuse formula.

according to it

h² = a² + b²

here,

h = hypotenuse i.e. longest side of a right angled triangle

a = side

b = base

now,

a/q we have to find h (or hypotenuse) of the right angled triangle

h² = (12)² + (5)²

h = 144 + 25

h = 169

h² = √169 = 13

therefore, 3Rd side of the triangle is 13.

Hope this answer helps you dear!

• if you have any doubt plz point it out.

What is the area of the shaded base?

Answers

Answer:

25 in^2 or inches squared

Step-by-step explanation:

5 in * 5 in = 25 in^2 (inches squared)

{(5,2),(-6,2),(8,4),(5,13)}
State the dominant and range for the following relation. Then determine whether the relation represents a function.​

Answers

Answer:

the domain is 5,-6,8,5 the range is 2,2,4,13 it is not a function

Please help me and fast

Answers

I would say the third one

Describe how trigonometric equations differ from trigonometric identities.

Answers

Answer:

Trigonometric identities describe equalities between related trigonometric expres- sions while trigonometric equations ask us to determine the specific values of the variables that make two expressions equal.

Answer:

Trigonometric identities describe equalities between related trigonometric expres- sions while trigonometric equations ask us to determine the specific values of the variables that make two expressions equal.

Step-by-step explanation:

hope this helps

have an awesome day -TJ

may i please have brainliest

Evaluate the expression n ÷ 5 for n = 3.2.

A. 0.064
B. 0.604
C. 0.64
D. 6.4

Answers

Answer:

n/5

substitution for n = 3.2

3.2/5

0.64

A person places $60100 in an investment account earning an annual rate of 5.3%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.

Answers

Answer:

$164516

Step-by-step explanation:

Solution P = 60100 + = 19 r = 5.3/100

V= Pe

V= 60100 e 5.3x19/100

V= $164516

Answer:

164,516.33

Step-by-step explanation:

r = 5.3% = 0.053

p = 60100

t = 19

V = Pe^(rt)

Plug It In:

V = 60100e^0.053(19)

V = 60100e^1.007

V = 164516.3309 ≈ 164516.33

What does it mean if a number divides another number?.

Answers

Answer:

We say one integer divides another if it does so evenly, that is with a remainder of zero (we sometimes say, "with no remainder," but that is not technically correct). More formally, mathematicians write: If a and b are integers (with a not zero), we say a divides b if there is an integer c such that b = ac.

A number divides another number of the quotient between the second and the first gives an integer number

When a number "divides" another number?

We say that a number n divides another number m if, when we take the quotient between m and n, the outcome is an integer number.

So we should have that:

m/n = integer number.

This also means that a number only can divide another number if this second number is a multiple of the first one, so if we say that (for example).

m/n = 3

Then:

m = 3*n

So m is a multiple of n, which also means that n divides m.

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Solve the math problem

Answers

A transversal line,passes through two lines in the same plane at two distinct points. So,the answer is line n

Suppose a city with a population of 400,000 has been growing at a rate of ​3% per year. If this rate​ continues, find the population of this city in 10 years?

Answers

Answer: 537,563 people

Which statement about the point (2, 0) is true?

A coordinate plane.

It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Correct choice is : C

[tex]\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis[/tex]

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

Please show all work!!

Answers

can you see it now?

2,5 days to 80 hours as ratio in its simplest form​

Answers

Answer:

2 Days = 2 x 24 = 48 hours

5 days = 5 x 24 = 120 hours

and 3rd is 80 hour

their ratio are 48:120:80

and their simplest form is 6:15:10

Step-by-step explanation:

W dose x equal. Plz help fast

Answers

Answer:

You need to solve X first, then answer __x - 10 so example x=7 so 74 - 10 is 64. SO that would be 64 degrees.

both marquis and ava have entensive music collections on their phones. together they have a total of 4210 unique songs.If marquis has 320 more unique songs than ave does, how many of the 4210 songs are on avaś phone?

Answers

1945 of the songs are on Ava's phone.

Calculus

Given that both Marquis and Ava have extensive music collections on their phones, and together they have a total of 4210 unique songs, to determine, if Marquis has 320 more unique songs than Ava does, how many of the 4210 songs are on Ava's phone, the following calculation must be performed:

(4210 - 320) / 2 = X3890 / 2 = X1945=X

Therefore, 1945 of the songs are on Ava's phone.

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what’s the answer to number 3

Answers

0.000000000000000001

8a + 3b = 5a + 7b


Find the ratio a:b

Answers

3a:4b that the answer

The ratio of a:b in 8a + 3b = 5a + 7b is 4:3.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are equal to each other. For example, if there are 2 boys and 6 girls, you can write the ratio as: 1 : 3 (for every boy there are 3 girls).

Ratios compare two numbers obtained by dividing. If one data point (A) is compared to another data point (B), it is expressed as A/B. It means that we are partitioning information A from information B. For example, if A is five and B is 10, your ratio would be 5/10, or 1/2.

For above information,

8a + 3b = 5a + 7b

8a-5a = 7b- 3b

3a= 4b

So, a/b= 4/3

a:b  is 4:3

Thus, the ratio of a:b in 8a + 3b = 5a + 7b is 4:3.

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1) How many two hundred millilitre cups can be filled from a one litre bottle?

2) A bucket holds four point five litres of water when full. How many millilitres does it hold when it is one quarter full?

Answers

Answer:

1) 5 glasses

2) im not sure sorry but hopefully i helped with the first one!!

Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points. D:(x,y) → (3x, 3y) J(1,4), K(6,4), L(6, 1), M(1, 1)​

Answers

Answer:

J’(3,12) K’(18,12) L’(18,3) M’(3,3)

Step-by-step explanation:

DUE TONIGHT!!! 20 POINTS
Graph

3x - y = .2

A)

B)

C)

D)

Answers

I believe the answer is A

470 DEGREE CELSIUS TO FAHRENHEIT?/

Answers

Answer:

878 degrees fahrenheit

Step-by-step explanation:

the formula for finding fahrenheit is (c*9/5)+32 = F

Answer:

878° degrees Fahrenheit

Step-by-step explanation:

Fahrenheit = (470° degrees Celsius) × 1.8 + 32°

= 878°

Question 5 of 5
Is x = 6 a solution to the equation x + 13 = 18?
A. Yes, because 6 + 13 = 18 is not true.
B. No, because 6 + 13 = 18 is true.
O C. Yes, because 6 + 13 = 18 is true.
O D. No, because 6 + 13 = 18 is not true.
=

Answers

Answer:

yes because 6+13=18 is true

Alicia had $94 to spend on seven books. After purchasing 7 books that cost the same price, she had $10 left.

Answers

94 - 10 = 84

84/7 = 12
So each book was $12. She purchased seven books so that $84.
$94 - $84 = $10 left

Answer:

Alicia spent $12 on each book.

Step-by-step explanation:

What we know:

- In the beginning, Alicia had $94

- She bought 7 books, that each cost the same price

- After buying the 7 books, she had $10 left over.

What we need to find:

- The cost of an individual book

Steps:

1. To find how much money she spent in total, we must subtract the leftover amount of money ($10) from the amount of money Alicia started with ($94).

94 - 10 = 84

2. Now, we have to figure out how much money Alicia spent on each book. We know that she spent a total of $84. We need to divide that amount by 7 to find the amount that Alicia spent on one book.

84 ÷ 7 = 12

Check your work:

1. Multiply the cost of one book by the number of books Alicia bought.

12 x 7 = 84

2. Find the sum of the amount Alicia spent and the amount of money Alicia had left over. 84 + 10 = 94

The total amount of money Alicia started with was $94, so we can conclude that Alicia did indeed spend $12 on each book.

Graphing Piecewise Functions

Answers

I believe the answer to your graphing piecewise function is the 2nd picture

Triangle A has side lengths of 45, 36, 24
while Triangle B has side lengths 7.5,6,4.
Are the triangles similar? If so, what is the
scale factor of Triangle A to Triangle B.

Answers

Answer:

  A : B scale factor is 6 : 1

Step-by-step explanation:

Writing both given ratios in least-to-greatest order and in lowest terms, we have ...

  24 : 36 : 45 = 8 : 12 : 15 . . . triangle A

  4 : 6 : 7.5 = 8 : 12 : 15 . . . . . triangle B

The ratios of side lengths are the same, so the triangles are similar. The sides of the larger one are 24/4 = 6 times the sides of the smaller one.

  A : B scale factor is 6 : 1

3x + 2y = 8
5x + 2y = 12

Answers

Step-by-step explanation:

solve simultaneously

subtract the 2 equations like you subtract pure numbers from each other.

5x + 2y = 12

3x + 2y = 8

5x - 3x +2y - 2y = 12 - 8

2x = 4

x = 2

alternatively...

3x + 2y = 8

5x + 2y = 12

-2x = -4

x = 2.

What does the end behavior look like of this polynomial?
2x2 + 5x-12 = 0

Answers

I think x=4 so the answer should be 12

ASAP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!
A dance team is made up of 9 girls and 3 boys. Two of the girls and 1 of the boys are also on the debate team.

What percent of the dance team is also on the debate team?

Answers

Answer:

25 percent

Step-by-step explanation:

Since the dance team has 9 girls and 3 boys, it is made up of 12 people.  3 of those members are also on the debate team.  12/3 = 4, meaning that a fourth of the dance team is also on the debate team.  This translates to 25 percent

25% of the dance team is also on the debate team.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

There are a total of 9 + 3 = 12 members on the dance team.

Two of the girls and 1 of the boys are also on the debate team.

i.e

2 + 1 = 3

The percentage of the dance team that is also on the debate team.

= (3/12) x 100%

= 25%

Thus,

25% of the dance team is also on the debate team.

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HELP ME PLEASE GUYS!

Answers

1. -12i
Explanation:
The square root of 144 is 12 as 12 times itself is 144 now bi is the opposite of -bi therefore that positive 12 becomes negative and you add the i.
2. -2
Explanation:
2 squared is 4 therefore the square root of 4 is 2 then add the negative

Hope that helps! Have a good day :)

compare the fractions using - 4/9 and -8/20

Answers

Answer:

-2/45

Step-by-step explanation:

-4/9 is simplified and both 4 and 9 are perfect squares.

-8/20 can be reduced to -2/5 since both 8 and 20 are divisible by 4.

The difference between them is given by -4/9 - (-2/5) = (18-20)/45 = -2/45.

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