if this is the graph of f(x) then which of the following could be the graph of f^-1(x)?
Answers
If we have the graph of f(x), reflect it over the line y=x and look for the option that matches the resulting graph.
That will be the graph of \(f^-1(x).\)
Here is the answer to the given question:
If this is the graph of f(x), then the graph of f⁻¹(x) can be obtained by reflecting the graph f(x) about the line y = x.
This means that the x and y-coordinates of the points on the graph of f(x) are interchanged to obtain the graph of f⁻¹(x). Therefore, option B is the graph of f⁻¹(x).
Here are the graphs of f(x) and f⁻¹(x) shown together for reference:
To determine the graph of the inverse function\(f^-1(x)\) from the graph of the original function f(x), follow these steps:
1. Reflect the graph of f(x) over the line y=x.
This means that for each point (a, b) on the graph of f(x), there will be a corresponding point (b, a) on the graph of\(f^-1(x)\).
2. Compare the reflected graph with the given options and identify the graph that matches the reflection.
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Related Questions
After increasing the price of an item by 20% the price was $300.00. What was the original price?
Answers
Answer:
240000
Step-by-step explanation:
Answer: Sale Price = $ 240.00
Discount Amount = $ 60.00
Pls help due at midnight
Answers
Answer:
8.77
Step-by-step explanation:
Answer:
I believe the answer is A) $8.77
step1) multiply the cost of peaches oer pound by 18.4
step2) add the cost for the peaches to the cost for the pineapple
step3)divide the cost by 4
Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°
Answers
Answer:
I hope you find the answer
When using the simple exponential smoothing forecasting method, which of the following is the major reason to use a = 0.1 rather than a = 0.5?
Answers
The major reason to use a value of 0.1 rather than 0.5 in the simple exponential smoothing forecasting method is to place more emphasis on recent data points.
In simple exponential smoothing, the forecasted value for the next period is calculated by combining the actual value from the current period with a weighted average of the forecasted value from the previous period. The weighting factor, represented by 'a', determines the level of importance given to the most recent data points.
By choosing a smaller value of 'a' (e.g., 0.1), more weight is placed on recent observations, resulting in a forecast that is more responsive to recent changes in the data. This is particularly useful when the underlying pattern in the data is changing rapidly or when there is a need to capture short-term fluctuations or trends.
On the other hand, choosing a larger value of 'a' (e.g., 0.5) would give equal weight to all data points, making the forecast more stable and less sensitive to recent changes. This is appropriate when the underlying pattern is relatively stable and there is a desire to smooth out short-term fluctuations in the data.
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Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answers
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
At Jeans R Us, pairs of jeans comes in 10 different brands, 5 different cuts, and 4 different colors. How many different types of jeans are there?
Answers
Answer:
200
Step-by-step explanation:
Multiply all of the different types.
Simplify each expression.
-10(n+6)
Answers
Answer:
\( - 10(n + 6) \\ - 10n + 60 \: \: \: answer\)
Step-by-step explanation:
please mark me brainliest
-10n-10•6
-10n-60
-10n-60 is the answer
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortes days of the year vary by 2 hours 53 minutes from the equinox. In this year the equinox falls on March 21. In this task you'll use a trigonamic function to model the hours of daylight hours on certain days of the year in New York City
Answers
Question:
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox. In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function to model the hours of daylight hours on certain days of the year in New York City.
- Find amplitude and the period of the function
- Create a trigonometric function that describes the hours of sunlight for each day of the year
- Then use the function you built to find how fewer daylight hours February 10 will have then March 21
Answer:
(a)
\(A = 2.883\) --- Amplitude
\(T = 365\) ---- Period
(b) Trigonometry function
\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)
(c) \(Hours= 1.794\)
Step-by-step explanation:
Given
\(Average\ Sunlight = 12hr\ 8 min\)
\(Variance = 2hr\ 53min\)
Solving (a): Amplitude (P) and Period (T)
The amplitude is the amount of time the longest and the shortest day vary.
So
\(A = 2\ hr\ 53\ min\)
Convert to hours
\(A = 2\ + \frac{53}{60}\)
\(A = 2+0.883\)
\(A = 2.883\)
The period (T) is the duration i.e 1 year
\(T = 1\ year\)
Assume no leap year
\(T = 365\)
Solving (b): Trigonometry function
The function follows a sinusoidal pattern and the general form is:
\(f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))\)
Where
\(\mu = Average\ Value\)
\(\mu = 12\ hr 8\ min\)
Convert to hours
\(\mu = 12 + \frac{8}{60}\)
\(\mu = 12 + 0.133\)
\(\mu = 12.133\)
\(A = 2.883\) --- Amplitude
\(T = 365\) ---- Period
\(n = Equinox\)
\(n = March\ 21\)
\(March\ 21st = 80th\ day\)
So:
\(n= 80\)
The function becomes:
\(f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))\)
\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)
Solving (c): Fewer daylight hours will Feb. 10 have.
\(Feb\ 10 = 41st\ day\)
So:
\(f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])\)
\(f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])\)
\(f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])\)
\(2\pi = 360^\circ\)
So:
\(f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])\)
\(f(41) = 12.133 + 2.883sin(-38.466)\)
\(f(41) = 12.133 - 2.883*0.6221\)
\(f(41) = 10.339\)
The fewer daylight hours is the calculated as:
\(Hours= Average - f(41)\)
\(Hours= \mu - f(41)\)
\(Hours= 12.133 - 10.339\)
\(Hours= 1.794\)
Analysis of variance is used to test for equality of several population? means. standard deviations. proportions. variances.
Answers
Analysis of variance is used to test for equality of several population means.
ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.
Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.
ANOVA (Analysis of Variance) was developed by Ronald Fisher.
ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.
Therefore, Analysis of variance is used to test for equality of several population means.
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Find the value of x in the figure below.
Answers
Answer:
The sum of alternating angle end up to 180 degress
Vic bedroom is 1.2 x 10² square feet. Vic knows that there are 2.3 x 10⁷ particles of dust per square foot. How many particles of dust are present in our bedroom?
Answers
Answer:
2.76 x 10⁹
Explanation:
Particles of dust per square foot = 2.3 x 10⁷
The size of Vic's bedroom = 1.2 x 10²
Therefore, the number of particles of dust present in the bedroom is:
\(=2.3\times10^7\times1.2\times10^2\)We simplify our result below.
\(\begin{gathered} =2.3\times1.2\times10^7\times10^2 \\ =2.76\times10^{7+2} \\ =2.76\times10^9 \end{gathered}\)There are 2.76 x 10⁹ dust particles.
\((\sqrt{5} +\sqrt{2} )^{2}\)
Answers
Step-by-step explanation:
5+2√5.2 +2
=7+2√10........
solve simultaneously for both x and y: 2^x+1=4 and x^2+2y=31
Answers
Answer:
x= y:2^(x) +1 =4
x^(2) + 2y = 31
Step-by-step explanation:
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
Answers
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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Somebody help with bothhh
Answers
Sonia is a senior in high school and tutors some of the kids in her neighborhood. She works 5 hours a week and earns $11/hour. Sonia hasn’t hung out with her friends in a long time, and she’s excited to grab dinner and watch a movie with them on Friday, which will cost $40. She also wants to buy her mom a $50 necklace her mom has been wanting for her birthday gift on Sunday.
Will Sonia have enough money to go out with her friends and buy her mom a birthday present by the end of the week?
What tradeoffs will Sonia have to think about as she makes her decision on what to spend her money on?
How do you think Sonia should spend her money? Explain.
Answers
a. The equation illustrated shows that Sonia will not have enough money to go out with her friends and buy her mom a birthday present by the end of the week.
b. tradeoff that Sonia will have to think about as she makes her decision on what to spend her money on is that she has to decide the one that is more important between watching movie and buying the gift.
c. She should buy the gift for her mum.
How to illustrate the information?Sonia works 5 hours a week and earns $11/hour. The amount will be:
= 5 × $11
= $55
She wants to watch a movie with them on Friday, which will cost $40 and also wants to buy her mom a $50 necklace her mom. The total cost will be:
= $40 + $50
= $90
b. The tradeoff that Sonia will have to think about as she makes her decision on what to spend her money on is that she has to decide the one that is more important between watching movie and buying the gift.
c. Sonia should spend her money by buying the gift for her mum since that's more important.
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Answer:
Step-by-step explanation:
The answer is nuts
3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answers
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
Write an equation for a polynomial function (in factored form) with zeros at 3, -1, and 0. The zeros at 3 and 0 have a multiplicity of 2 and the zero at -1 has a multiplicity of 3.
Answers
A polynomial function in its factored form is written:
\(\begin{gathered} y=(x-r_1)(x-r_2)(x-r_3)\ldots(x-r_k) \\ \text{ Where }r_1,r_2,r_3,\ldots,r_k\text{ are the zeros of the function} \end{gathered}\)On the other hand, the number of times a given factor appears in the factored form of the equation of a polynomial is called multiplicity.
So, in this case, we have
\(\begin{gathered} r_1=3 \\ r_2=-1 \\ r_3=0 \\ y=(x-r_1)(x-r_2)(x-r_3) \\ y=(x-3)^2(x-(-1))^3(x-0)^2 \\ y=(x-3)^2(x+1)^3x^2 \\ \text{ Order} \\ y=\mleft(x+1\mright)^3(x-3)^2x^2 \end{gathered}\)Therefore, the equation for the polynomial function (in factored form) is
\(y=(x+1)^3(x-3)^2x^2\)PLEASE HELP
5) Which function represents the relationship between x and y?
A) y = x + 2
B) y = 2x
C) y = x + 4
D) y = x-2.
Answers
Answer:
A) y=x+2
Step-by-step explanation:
We can see that each time x increase by 2, y also increases by 2. The slope of the line formed by this equation is therefore 1. But we start out with y = 2, even when x=0. That's the definition of the y-intercept: the value of y when x is equal to zero.
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).
We have y = 1x + 2, or y = x + 2
Grapes are selling for $0.68 a pound. Aldo spent $9.18 on grapes. How many pounds of grapes did Aldo buy?
Answers
Answer:
13.5 pounds.
Step-by-step explanation:
9.18 divided by .68
= 13.5
Answer:
13.5
$0.68 times 13.5 = $9.18
Someone plz help me :(
Answers
Answer:
the answer is c :)
Step-by-step explanation:
Find the inverse of function f.
f(x)
=
O A.
O B.
O c.
O D.
- 2
f¹(x) = x + /²/
f¹(x) = 3x + 6
f¹(x) = 3x + 2
f¹(x)
=
3x
-
23
Answers
Answer:
hnytrytbyStep-by-step explanation: 5
if you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places) a) getting a sum of 1? 0 b) getting a sum of 5? c) getting a sum of 12?
Answers
Given that we have to find the probability of each of the following when we roll a pair of fair dice:
Probability of getting a sum of 1 = 0
Probability of getting a sum of 5= {4}/{36}=0.1111
Probability of getting a sum of 12= {1}/{36}= 0.0278
Explanation: When we roll a pair of dice, there are 36 possible outcomes or events. When we roll the dice, the number on the dice will be an integer from 1 to 6.
The following table represents the possible outcome when we roll a pair of dice.
There is only one way to obtain the sum of 1, i.e., when both dice show 1. As there is only one way, the probability is 0.
There are 4 possible ways to obtain the sum of 5. They are (1,4),(2,3),(3,2),(4,1). The probability is 4/36.
There is only one way to obtain the sum of 12, i.e., when both dice show 6. As there is only one way, the probability is 1/36.
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select the correct answer. which expression is equivalent to x 3x2−2x−3÷x2 2x−3x 1 if no denominator equals zero? a. 1x2−2x−3 b. 1x2−4x 3 c. 1x2 2x−3 d. x 3x 1
Answers
The correct answer is option c. 1/(x² + 2x - 3). To determine which expression is equivalent to the given expression, let's simplify it step by step:
The given expression is (x³ - 2x - 3) ÷ (x² + 2x - 3).
Option a. 1/(x² - 2x - 3):
This option is not equivalent to the given expression because it represents the reciprocal of the quadratic denominator, which is different from the given expression.
Option b. 1/(x² - 4x + 3):
This option is not equivalent to the given expression because the signs of the quadratic terms are different. The given expression has a positive quadratic term, while this option has a negative quadratic term.
Option c. 1/(x² + 2x - 3):
This option is equivalent to the given expression because it represents the reciprocal of the quadratic denominator with the same signs for the quadratic terms.
Option d. x/(3x - 1):
This option is not equivalent to the given expression because it lacks the term x³ in the numerator.
Therefore, the correct answer is option c. 1/(x² + 2x - 3).
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The rubik's cube of length 18CM is divided into 9 equal cubical pieces . find the length of each small cubical piece
Answers
If the rubik's cube of length 18CM is divided into 9 equal cubical pieces then the length of each small cubical piece is 9cm.
Let the edge of the small cubes =x cm.
Then, Volume of larger cube = 9×Volume of small cubes.
(18)³ = 9 × x³
5832 = 9 × x³
x³ = 5832/9
x = ³√648
x = 9cm (approx)
Hence, the length of 9 equal cubicle pieces is 9cm each.
A cube is a solid three-dimensional figure with six square faces, eight vertices, and twelve edges that is used in mathematics or geometry. Also claimed to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent real-world example and is useful for boosting cognitive function. Similar to this, there are numerous examples in everyday life, such as six-sided dice, etc.
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A zoo has 9 lions. 6 are males. Find the ratio of female lions to male lions.
Answers
(2x + 12y = −17) (3x + 2y = 7) value of x and y
Answers
Answer:
x = (59/16)
y = (-65/32)
Step-by-step explanation:
2x + 12y = −17
3x + 2y = 7
--------------------------
(2x + 12y = −17) × 3
6x + 36y = -51
(3x + 2y = 7) × -2
-6x - 4y = -14
----------------------------------
6x + 36y = -51
-6x - 4y = -14
-----------------------
32y = -65
÷32 ÷32
--------------------------
y = (-65/32)
3x + 2y = 7
3x + 2(-65/32) = 7
3x - (65/16) = 7
+(65/16) +(65/16)
-------------------------------
3x = (177/16)
÷3 ÷3
---------------------------
x = (59/16)
I hope this helps!
the vertex of the right isosceles triangle is the center of the square. what is the area of the overlapping region?
Answers
Solve the inequality.
5z ≥ −75
z ≤ −15
z ≥ −375
z ≥ −15
z ≤ 15
Answers
Answer:
z ≥ −15
Step-by-step explanation:
5z ≥ −75
Divide each side by 5
5z/5 ≥ −75/5
z ≥ −15
Which set of ordered pairs is not a function?
1) {(3,1),(2,1),(1,2), (3, 2)} 2) {(4,1),(5,1). (6, 1), (7, 1)}
3) {(1,2), (3,4),(4,5),(5,6)} 4) {(0,0),(1, 1), (2, 2), (3, 3)}
Answers
Answer:
Set 1 is not a function
Step-by-step explanation:
You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.