Answer:
c=|x-7|
Step-by-step explanation:
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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Please show all work!!
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.
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
Alicia had $94 to spend on seven books. After purchasing 7 books that cost the same price, she had $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.
what’s the answer to number 3
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?
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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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.
[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!
compare the fractions using - 4/9 and -8/20
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.
DUE TONIGHT!!! 20 POINTS
Graph
3x - y = .2
A)
B)
C)
D)
Please help me and fast
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)
Answer:
J’(3,12) K’(18,12) L’(18,3) M’(3,3)
Step-by-step explanation:
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.
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
Evaluate the expression n ÷ 5 for n = 3.2.
A. 0.064
B. 0.604
C. 0.64
D. 6.4
Answer:
n/5
substitution for n = 3.2
3.2/5
0.64
470 DEGREE CELSIUS TO FAHRENHEIT?/
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°
{(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.
Answer:
the domain is 5,-6,8,5 the range is 2,2,4,13 it is not a function
HELP ME PLEASE GUYS!
What does the end behavior look like of this polynomial?
2x2 + 5x-12 = 0
Solve the math problem
What does it mean if a number divides another number?.
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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Graphing Piecewise Functions
3x + 2y = 8
5x + 2y = 12
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.
help please finding the third side
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.
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?
Answer:
1) 5 glasses
2) im not sure sorry but hopefully i helped with the first one!!
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?
Answer: 537,563 people
2,5 days to 80 hours as ratio in its simplest form
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:
8a + 3b = 5a + 7b
Find the ratio a:b
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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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?
1945 of the songs are on Ava's phone.
CalculusGiven 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=XTherefore, 1945 of the songs are on Ava's phone.
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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.
=
Answer:
yes because 6+13=18 is true
Describe how trigonometric equations differ from trigonometric identities.
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
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What is the area of the shaded base?
Answer:
25 in^2 or inches squared
Step-by-step explanation:
5 in * 5 in = 25 in^2 (inches squared)
W dose x equal. Plz help fast
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.
