Answers
The inverse function returns the original value for which a function gave the output.
What is Inverse Function?A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.
If f and g are inverse functions, then f(x) = y if and only if g(y) = xIn trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees. Hence, sin 90 degrees is equal to 1.If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.Example: f(x) = 2x + 5 = y
Then, g(y) = (y-5)/2 = x is the inverse of f(x).
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Related Questions
six times an integer minus 5 equals the square of the integer
Answers
The value of the the integer is 1 or 5
What is an integer?An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1
Let's represent the integer by x, therefore
six times an integer minus 5 equals the square of the integer can be put into equation as:
6x-5 = x²
x² - 6x +5 = 0
x²-5x - x + 5 = 0
(x²-5x)(-x+5) = 0
x(x-5) - 1 ( x -5) = 0
(x-1)(x-5) = 0
therefore x-1 = 0 or x-5 = 0
x = 1 or 5
therefore the value of the integer can either be 5 or 1
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Is the relation a function
Answers
The relation illustrates the connection between input and output. On the other hand, a function is a relation that produces one OUTPUT for every given INPUT.
Why does a relation differ from a function?A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.
Are all relationships functions?Functions: A function is a relation that describes a set of inputs and a set of outputs. In operation, Exactly one output from each input in set X exists in set Y. Not all functions are relations, despite the fact that all relations are functions.
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The axis of symmetry for y=|x-5|-1
Answers
Reason:
The equation is in the format of
y = a|x - h| + k
where in this case,
a = 1h = 5k = -1The vertex is located at (h,k) = (5,-1)
The axis of symmetry is x = 5 since it is a vertical line that passes through the vertex.
The graph is shown below. I used GeoGebra, but you can use a TI83, TI84, Desmos, or anything similar.
Use the drawing tools to form the correct answer on the provided graph Consider the piecewise function f(x) {3, x<_-3. 2x + 1, -3 < x < 4. -22, x _> 4
Answers
The graph for the given piecewise function is as provided in image.
What is piecewise function?
A piecewise function is a function f(x) which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so. We know that an absolute value function is f(x) = |x| and it is defined as:
f(x)=(x if x≥0 ,
-x if x><0)
We should read this piecewise function as
f(x) is equal to x when x is greater than or equal to 0 and
f(x) is equal to -x when x is lesser than 0.
Given piecewise function
f(x) {3 if x<_-3
2x + 1 if -3 < x < 4
-22 if x > 4
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ANSWER ASAP FOR BRAINLIEST
Answers
Answer:
(5,1/2)
Step-by-step explanation:
What is the value of x2 . y1 when x = 5 and y = 10?
Answers
X2=5^2 so 25
And y1 would be 10
So 25 x 10
Is 250
Each bike rental costs $3.25
$
3
.
25
per hour.
Use the drop-down menus to complete the statements about the bike rentals.
Answers
The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of hours and 'y' be the total rental cost. Then the equation is given as,
y = 3.25 x
The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.
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The base of a right-angled triangle is 10cm and it's height is 15cm. Tommy was asked to calculate the length of the hypotenuse, giving the exact value in scientific notation. Tommy gave his answer as 18.03 x 10 and stated that exact value is not possible because the number is irrational. Using hypotenuse^2 = base^2+ height^2, A) State whether or not Tommy is correct, show working. (3 marks) B) Explain how you know. (2 marks
Answers
Tommy is right about the fact that an exact value is not possible because the number is irrational but the correct approximate length is 18.30.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, The base of a right-angled triangle is 10cm and its height is 15cm.
We know, hypotenuse² = base² = height².
Therefore, hypotenuse² = 10² + 15².
hypotenuse² = 100 + 225.
hypotenuse = √335.
hypotenuse = 18.30.
But Tommy gave his answer as 18.03×10 which is equal to 180.3.
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eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeek
Answers
Answer:
OOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFF
Step-by-step explanation:
Answer: Same. eeeeeeeeeeeeeeeeeeeeeeeeek
Please help me with the following one
Answers
In the given options, Option A is different from the rest three options.
What is Pentagon?It is a type of polygon, which has 5 equal sides and all the interior angles are of 108°.
Given that,
Four statements about interior angles of pentagon
1. What is the measure of an interior angle of a regular pentagon
2. What is the sum of the interior angle measures of a convex pentagon
3. What is the sum of the interior angle measures of a regular pentagon
4. What is the sum of the interior angle measures of a concave pentagon
It can be seen that in 2, 3, 4 asking sum of interior angles
And, in first option asking individual value of interior angle
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what is the answer to 2x3
Answers
Answer: 6
Step-by-step explanation:
Explanation: 2 rows of 3 in each row is 6 in total
Comparing Fractions ASAP answer (photo attached)
Answers
Answer: see below
Step-by-step explanation:
To do this, we need to get the fractions to have a common denominator. The closest multiple of both 8 and 10 is 40. Whatever number gets both denominators to forty will need to be multiplied by both the numerator and the denominator
9/10 * 4/4 = 36/40
7/8 * 5/5 = 35/40
Now that both denominators are 40, we can compare the numerators to see which fraction is the largest. Since 36 is greater than 35, 9/10 > 7/8. I hope this helps!
ashley had 25 hair clips. 7 of them were blue and the rest were purple. what percent of the hair clips were purple. 28% is blue, and 72% is purple.
Answers
The clips are 28% blue and 72% purple.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Ashley had 25 hair clips.
7 of them were blue.
Let n be the percentage of blue clips.
7 = n x 25/100
n = 700/25
n = 28%.
And the rest were purple.
That means,
100 - 28 = 78%.
Therefore, 28% is blue, and 72% is purple.
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For charity art exhibition, Jaime gave 12 paintings, Rob gave 8 and Fernando gave 5. a Write the numbers of paintings as a ratio. b What proportion of the paintings did each give?
Answers
Answer:
Jaime 12:25Rob 8:25 Fernando: 5:25Step-by-step explanation:
You have to add all of the number up to get the whole amount and then put in how much they each gave. Hope this helps :))
Simplest form and explain why√800
Answers
Answer:
The simplest form of √800 is 4√5
Step-by-step explanation:
When finding the simplest form of a square root, we want to express the square root as a product of a whole number and a square root of a prime number. This is because the square root of a prime number cannot be simplified any further, while the square root of a composite number (a number that is not prime) can be further simplified.
In this case, we start by seeing that 800 can be factored as 20*40. To simplify the square root, we need to find the square root of each of these factors. The square root of 20 is not a whole number, but the square root of 40 is √40 i.e. 2√10, which can be further simplified as 2*2√5.
So, √800 = √(2040) = √20 * √40 = 2√10 = 2*2√5 = 4√5
As 4 is a whole number and √5 can't be simplified further, this is the simplest form of the square root of 800.
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Although part of your question is missing, you might be referring to this question "What is the simplest form of √ 800 and explain why?"
Write the expression as a product where the root of one of the factors can be evaluated
square root 20^2 x 2
Write the expression in exponential form with the base of
square root 20^2. square root 2
The root of a product is equal to the product of the roots of each factor
simplified = 20 square root 2
Reduce the index of the radical and exponent with 2
Answer= 20 square root 2
How much will be charged in prepaid interest on a $400,000 loan with an APR of 6% that was closed on December
17th?
Answers
Answer: To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
Step-by-step explanation:
The solution is, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
What is Prepaid interest?Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
here, we have,
To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
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If g = -2 and h = 1, what is 3h - g ?
Answers
Answer:
5
Step-by-step explanation:
Substitute:
3*(1)--2
3+2
5
Answer: 5
Step-by-step explanation:
3h - g = 3*1 - (-2) = 3 - (-2) = 5
Classify each decreasing function as having a slope that is steeper or less steep than the slope of the function represented in this graph. y = - 4 3 x + 2 3 y = - 3 2 x + 1 2 y = - 2 x + 7 3 y = - 7 4 x + 3 2 y = - 8 7 x + 4 7
Answers
To compare the steepness of the slopes of different lines, we need to compare the absolute value of the coefficient of the x-term (the number in front of x) in each equation. A larger coefficient of x means a steeper slope, while a smaller coefficient of x means a less steep slope.
y = - 4 3 x + 2 3
The coefficient of x in this equation is - 4 3, this function has a steeper slope than the function y = - 3 2 x + 1 2
y = - 3 2 x + 1 2
The coefficient of x in this equation is - 3 2, this function has a steeper slope than the function y = - 2 x + 7 3
y = - 2 x + 7 3
The coefficient of x in this equation is - 2, this function has a steeper slope than the function y = - 7 4 x + 3 2
y = - 7 4 x + 3 2
The coefficient of x in this equation is - 7 4, this function has a steeper slope than the function y = - 8 7 x + 4 7
y = - 8 7 x + 4 7
The coefficient of x in this equation is - 8 7, this function has the least steep slope of all the functions.
So the order of the functions from steepest to least steep is: y = - 4 3 x + 2 3 , y = - 3 2 x + 1 2, y = - 2 x + 7 3, y = - 7 4 x + 3 2 , y = - 8 7 x + 4 7
YALL HELP OMGGGGGGGGG
Answers
Answer:
25% increase bc 15/20 is 75% .100-75 is 15%
Convert 1.80 hours to seconds
dimensional analysis
Answers
Answer:
6500
Step-by-step explanation:
1.8 hours is 6,500 seconds
Eden needs an average of 92% on her quiz scores to earn the grade she wants in science class. Each quiz is worth 20 points. The scores of her first four quizzes are shown in the table. There will be one more
quiz. What score she can receive to earn at least a 92% average in
science class?
****
Quiz Score
1 20
2 18
3 19
4 17
Answers
On solving the provided question we can say that by percentage he need to scores 18 point in each
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Eden needs an average of = 92%
. Each quiz is worth 20 points
90% 0f 20 = 90/100 * 20 = 18 points
he need to scores 18 point in each
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Consider the following data set. 6.8, 9.1, 8.7, 7.5, 8.2, 5.4, 6.5, 8.5, 7.3, 6.6, 5.9, 7.3, 9.3, 7.5, 7.8 Calculate the sample standard deviation. Round your answer to 2 decimals as needed.
Answers
The requried standard deviation of the given data set is σ = 1.1005.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
For the given data set, 6.8, 9.1, 8.7, 7.5, 8.2, 5.4, 6.5, 8.5, 7.3, 6.6, 5.9, 7.3, 9.3, 7.5, 7.8
Count, N: 15
Sum, Σx: 112.4
Mean, μ: 7.4933
To determine the standard davaition σ,
[tex]\sigma = \sqrt{1/N \sum_{i=1}^N(x_i-\mu)^2}[/tex]
Substitute the value in the above equation,
σ = √[[(6.8 - 7.493)² + ... + (7.8 - 7.493)² ]/15]
σ = 1.1005
Thus, the requried standard deviation of the given data set is σ = 1.1005.
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Dwight offers one-hour piano lessons and one-hour guitar lessons. He works 10 hours a week in all. How many different ways can he divide his time giving lessons in both instruments?
Answers
Although there are 9 different ways in which Dwight can divide his time giving lessons in both instruments, but the most balanced work division is 5 hour piano lessons and 5 hour guitar lessons in a week.
What is work division?
The division of labour is the arrangement of tasks given to and carried out by a team of employees or an individual in an effort to boost productivity. Division of work, commonly referred to as division of labour, is the process of breaking down a job into a variety of smaller tasks that together make up the larger activity.
Dwight offers one-hour piano lessons and one-hour guitar lessons.
The number of hours Dwight works per week = 10 hours
There are many possibilities in which Dwight can divide his work.
Case 1: Dwight can teach 1 hour piano lessons and 9 hour guitar lessons in a week.
Case 2: Dwight can teach 2 hour piano lessons and 8 hour guitar lessons in a week.
Case 3: Dwight can teach 3 hour piano lessons and 7 hour guitar lessons in a week.
Case 4: Dwight can teach 4 hour piano lessons and 6 hour guitar lessons in a week.
Case 5: Dwight can teach 5 hour piano lessons and 5 hour guitar lessons in a week.
Case 6: Dwight can teach 6 hour piano lessons and 4 hour guitar lessons in a week.
Case 7: Dwight can teach 7 hour piano lessons and 3 hour guitar lessons in a week.
Case 8: Dwight can teach 8 hour piano lessons and 2 hour guitar lessons in a week.
Case 9: Dwight can teach 9 hour piano lessons and 1 hour guitar lessons in a week.
Therefore, there are 9 different ways in which Dwight can teach both the lessons.
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As a human resources specialist, you keep track of the number of retiring employees for benefits and hiring purposes. You notice that of the current workforce will retire during next month, and an additional of the current workforce will retire the following month. What fraction of the current workforce is scheduled to retire during the next two months?
Answers
The values and ideals presented in the media, the average retirement age is between 62 and 65. The average retirement age is 64 for a work-life of about 42 years,
What is the value?Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.
Not anywhere close to 48 or 52 years. And less than 10% of Social Security recipients get the maximum benefit by claiming at 70, and those that do are the highest-income individuals.
Therefore, By the current workforce is scheduled to retire during the next two months retirement age is 64 for a work-life of about 42 years,
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A
Chapter 7
Chapter 13
Chapter 11
allows sole proprietors the option to repay debt
allows businesses to sell off assets to repay debt
provides the option to restructure and
continue business operations
Reset
Next
Answers
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
what is variations ?A relationship exists between a set of values for one variable and a set of values for another variable. directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b . Equations used to express the connection between two variables in a sentence convey the variation between those variables. Direct, inverse, joint, and combination variations are a few types of variation.
Here,
Given :
Businesses frequently choose to file for bankruptcy under Chapter 7 or Chapter 11, respectively.
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
Large corporations use Chapter 11 to reorganize their debts and carry on with operations. If a chapter 7 bankruptcy is filed, corporations, partnerships, and limited liability firms cannot restructure under chapter 13 and must stop operating.
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The complete question is "In a sole proprietor ownership, if business assets are not enough to pay business debts, then personal assets, such as the sole proprietor's house, personal investments, and retirement plans can be used to pay the debt. This is called ?"
What is 16/5 as a mixed number
Please help
Answers
Answer:
3 1/5
Step-by-step explanation:
Converting improper fractions into mixed numbers
What is 16/5 as a mixed number? Divide the numerator by the denominator (16 ÷ 5 = 3 R 1). Your answer is the whole number and your remainder becomes the numerator of the fraction next to the whole number, so your answer is 3 1/5.
Have a good day!:)
Make the proportional relationship
Answers
Answer:
see explanation
Step-by-step explanation:
a proportional relationship has equation
y = kx ← k is the constant of proportion
using the ordered pair (2, 3 ) from the table , then
3 = 2k ( divide both sides by 2 )
1.5 = k
y = 1.5x ← equation of proportion
when x = 14 , then
y = 1.5 × 14 = 21
table is then
x | 0 2 8 14
y | 0 3 12 21
Baylee found the sweater she had been looking for on sale for 35% off. The original price of the sweater was $60. What is the sale price of the sweater now? Enter response here.
Answers
The sale price of the sweater now is, $39
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Baylee found the sweater she had been looking for on sale for 35% off.
And, The original price of the sweater was $60.
Here, WE have;
Original price of sweater = $60
Sale = 35%
Hence, The sale price is,
⇒ Sale price = $60 - 35% of 60
= $60 - 35/100 × 60
= $60 - $21
= $39
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Please help me i do not know
Answers
The graph given is a representation of a two-dimensional coordinate plane, with points A, B, C, D, and E. The question is asking which statements about line n are true. Line n is the line connecting points A and C.
Which statements about line n are true?a) The slope of line n is equal to BC/AC, e) The slope of line n is equal to AE/DE, and f) The slope of line n is equal to AC/AE.The statements about line n that are true are a), b), e), and f). Statement a) is true because the slope of line n is equal to BC/AC, which is the ratio of the vertical change of the line (BC) to the horizontal change of the line (AC).Statement b) is true because the slope of line n is equal to AC/BC, which is the inverse ratio of the slope in statement a).Statement e) is true because the slope of line n is equal to AE/DE, which is the ratio of the vertical change of the line (AE) to the horizontal change of the line (DE).Statement f) is true because the slope of line n is equal to AC/AE, which is the ratio of the horizontal change of the line (AC) to the vertical change of the line (AE).To conclude, the statements about line n that are true are a), b), e), and f).To learn more about the slope of line n refer to:
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(Complete Question: Use the graph below to answer the question. Which statements about line n are true?n Select all that apply.
Ansswer choices:
a) The slope of line n is equal to BC/AC.
b) The slope of line n is equal to AC/BC.
C) The slope of line n is equal to BC/DE.
d) The slope of line n is equal to DE/AE.
e) The slope of line n is equal to AE/DE.
f) The slope of line n is equal to AC/AE.)
An isosceles triangle has base angles that each measure 49,
Which equation can be used to find b, the measure of the third angle of this isosceles triangle in degrees?
O 49 + 6-180
O98b-180
O49+2b-180
O98-2b-180
Answers
The third angle is 82 degrees.
What is an isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Here, we have
Given:
Two base angles are 49 degrees.
and the third angle is x.
Using Angle Sum property
x + 49 + 49 = 180
x + 98 = 180
x = 180 - 98
x = 82
Hence, the third angle is 82 degrees.
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