Answers
Option first, and option second represent the function; f(x) and g(x) are inverses of each other option first, and option second are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a shown function in the picture.
As we know if the function f(x) has double ordered (x, y) that satisfies the function.
Then it's inverse of a function g(x) must have ordered pair (y, x)
f(x) = {(-5,-9), (-3, -4), (0, 1), (3, 7), (6, 13)}
g(x) = {(-9,-5), (-4,-3), (1, 0), (7,3), (13,6)}
As we can see in the f(x) and g(x) they both have ordered pair (x, y) in f(x) and (y, x) in the g(x).
The f(x) and g(x) are inverses of each other.
f(x) = x + 7
g(x) = x - 7
To find the inverse of f(x)
Interchange the value of f(x) and x
x → g(x)
f(x) → x
x = g(x) + 7
g(x) = x -7
The f(x) and g(x) are inverses of each other.
The table does not represent any relation that shows that the f(x) and g(x) are inverses of each other.
Thus, option first, and option second represent the function; f(x) and g(x) are inverses of each other option first, and option second are correct.
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Related Questions
Los puntos A(13, a) y B (4,b) pertenecen a una parábola de vértice V (h, 1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están
contenidos en la recta 2x - y - 13 = 0. Hallar a" + bP.
Answers
The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.
How to calculate parameters?Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:
(x - h)² = 4p(y - 1)
The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:
√((13 - h)² + (a - 1)²) = p
Similarly, write an equation for the distance between the vertex and point B:
√((4 - h)² + (b - 1)²) = p
A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:
2(13) - a - 13 = 0
2(4) - b - 13 = 0
Solving these equations gives us a = 3 and b = -5.
Now three equations and three unknowns (a, b, and h):
√((13 - h)² + 4) = p + 1
√((4 - h)² + 36) = p + 1
2h - 3 - 13 = 0
The third equation simplifies to 2h = 16, or h = 8.
Substituting this value of h into the first two equations and squaring both sides:
(13 - 8)² + 4 = (p + 1)²
(4 - 8)² + 36 = (p + 1)²
Simplifying these equations and solving for p gives us p = 3.
Finally, find a" + bP by substituting the values found for a, b, and p:
a" + bP = 3 + (-5)(3) = -12
Therefore, the solution is a" + bP = -12.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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HOLY F THE I JUST ASKED OUT MY CRUSH!!!!
SHE SAID YES!!!
Now wha lol
Answers
Answer:
how you gonna go out in a pandemic?
Step-by-step explanation:
unless you're in a place where the virus was handled properly, the understandable, have a nice day.
and uhh
communication is key to a healthy relationship
BAC can be proved congruent to DEF by
Answers
Answer:
ASA
Step-by-step explanation:
∠ABC ≅ ∠EDF Angle
BC ≅ DF Side
∠C ≅ ∠F Angle
If a quadrilateral is a square, then all sides are the same. What part is the conclusion
Answers
HELP ILL MARK BRAINIEST
Answers
Answer:
medium nails in John = 40
medium nails in susan = 176
40/176
=5/22
so proportion is 5:22
Step-by-step explanation:
Hope this helps, have a great day!
Answer:
there no cartoon tho so I can really help but put one up
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answers
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
A taxi ride from the airport to the hotel is $15.50. If the taxi charges a flat fee of $3.50 and $0.75 per mile, then how many miles is the hotel from the airport?
Please answer this, and thank you.
Answers
Answer:
3.50+0.75x = 15.50
0.75x = 12 divide both sides by 0.75 to get your answer
HELP ME PLS I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!
Answers
Answer:
c
Step-by-step explanation:
To solve the equation we just substitute x with 7
so
5(7+3)
5*10
50
so the answer is c
(plz give brainliest)
Find the y-intercept of the line on the graph.
Answers
The y-intercept of the line on the graph is -2.
What is termed as the y-intercept?The point at which the graph intersects a y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are known as the x and y intercepts. An intercept of a function is the point at which the function's graph intersects the axis. A graph's y intercept is the point at which the graph intersects the y-axis. We know that any point just on y-axis has an x-coordinate of 0. As a result, the x-coordinate of the a y-intercept is 0.For the given question;
The graph of the straight line is given.
The y-intercept of the line is the point on y axis where the value of the x becomes zero.
At x = 0, y = -2.
Thus, he y-intercept of the line on the graph is -2.
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Determine whether the following statement makes sense or does not make sense, and explain your reasoning. I found the expected value for the number of boys for a family with five children to be 2.5. I must have made an error because a family with 2.5 boys cannot occur. Question content area bottom Part 1 The statement ▼ does not make sense makes sense because the expected value of 2.5 represents the ▼ average number total number of boys for all the families with five children. In a five-child family, ▼ all the children half the children are expected to be boys, so the expected value of 2.5 is ▼ inconsistent. consistent.
Answers
This is due to the fact that the anticipated value is determined by multiplying the likelihood of each potential occurrence by its value, then adding the results.
what is probability ?Probability is a metric for determining the possibility of an event happening in mathematics and statistics. It is a number between 0 and 1, where 0 denotes that the action is impossible and 1 denotes that it is guaranteed to occur. Usually, the likelihood of a particular occurrence is calculated through dividing the number of possible outcomes by the number of alternative ways the event could happen. As an illustration, the likelihood of rolling a six on a regular die is 1/6 since there is just one method for scoring a six and a total of six options. Many practical applications of probability can be found in the fields of insurance, banking, and gaming. Also, it aids in risk management and assessment throughout scientific research and decision-making processes.
given
The assertion "I discovered that there should be 2.5 more boys in a household of five than was anticipated. A family of 2.5 boys cannot exist, thus I must have made a mistake "contradicts itself.
A family cannot have 2.5 males just because the number of boys in a household of five is supposed to be 2.5. Instead, it suggests that a family with five children may typically anticipate to have 2.5 boys.
This is due to the fact that the anticipated value is determined by multiplying the likelihood of each potential occurrence by its value, then adding the results.
It is indeed impossible to have 2.5 males in a family of five.
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How many roots do the functions have in common f(x)=x^2+x-6
Answers
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
Answers
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is sample space?Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.
In the given question,
The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.
Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.
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A park has two rectangular, fenced playgrounds. The first playground has a perimeter of 160 feet. The second playground is twice as long and twice as wide as the first playground. Which of these could be the perimeter of the second playground in feet? pls help now ty
a. 640
b. 320
c. 240
d. 168
Answers
The perimeter of the second park will be 320 feet. The correct option is C.
What is the perimeter?The perimeter is defined as the sum of all the sides of the object. For a rectangular park, the perimeter will be the sum of all the sides of the rectangular park.
Given that a park has two rectangular, fenced playgrounds. The first playground has a perimeter of 160 feet.
The perimeter of the first park:-
160 = 2 ( L + W )
L + W = 80
The perimeter of the second park,
P = 2 ( 2L + 2W )
P = 4 ( L + W )
P = 4 x 80
P = 320 feet
Therefore, the perimeter will be 320 feet.
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.Which net matches this figure? A,B,C or D
please answer ill give brainliest
Answers
Answer:
C or D it’s hard to see if the bottom of the shape is a square or rectangle.
Step-by-step explanation:
If rectangle C if squared D
I would go with C
If log a=x and log b=y what is log a√b
Answers
In the rectangular prism below, the length of MR is 9 feet, the length of RS is 12 feet, and the length of ST is 5 feet. What is the length of the line
segment drawn from point T to point M?
Answers
Answer:
a
Step-by-step explanation:
\(\sqrt{9^2 + 12^2 + 5^2}=\sqrt{250}=5\sqrt{10}\)
Quatre ouvriers mettent 12 jours pour réaliser un travail. Dans les mêmes conditions combien de temps mettraient six ouvriers pour réaliser ce travail ?
Answers
Nombre de travailleurs x Temps de travail = Travail réalisé
On sait que quatre ouvriers mettent 12 jours pour réaliser un travail, donc :
4 x 12 = 48 (unités de travail réalisées)
Maintenant, si six ouvriers réalisent le même travail, nous pouvons utiliser la même formule pour trouver le temps de travail nécessaire :
6 x Temps de travail = 48
Temps de travail = 48 / 6
Temps de travail = 8
Donc, six ouvriers mettraient 8 jours pour réaliser le même travail que quatre ouvriers qui ont mis 12 jours.
What is £8.19 minus 10%
Answers
Answer:
7.391
Step-by-step explanation:
Find 10% of 8.19
8.19*10%
8.19 *.10
.819
Subtract this from 8.19
8.19-.819
7.391
Pls help I’ll brainlest
Is it rational or irrational show your work
Answers
Answer:
Step-by-step explanation:
#4
√25= 5 and 5 is rational.
#7
√(1/2) is equivalent to √1 / √2. √1 is rational but √2 is irrational.
Thus the expression √(1/2) is irrational.
4. 5
7. 1/2
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
Answers
3600:25 =144
reduced price is 144$
A rectangle is 1/2 feet long and 3/4 feet wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form
Answers
Answer: 3/8
Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.
Numerators first- 1x3Denominators second 2x4um help me plz!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
substitute x for 3
4(3)+2/2
Use PEMDAS
12+2/2
14/2
Divide
7
If you replace x with 3, you are left with the equation 4(3)+2 divided by 2. When you multiply you get 12+2=14/2 is 7
The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 x+7 and y-\frac{2}{5}x=-4y− 5 2 x=−4 are
Answers
Answer:
bxjfjxucjkkdndjkjhkjjnn
Susan bought a 2-kilogram bag of grapes.On the way home,she ate 125 grams of the grapes.How many grams of grapes did Susan have left?
Answers
Answer:
2 kilograms =2000grams
2000grams - 125grams =1875grams
1875grams of grapes did Susan have left
How do you figure out -8=8-7n+3n
Answers
Answer:
n=4
Step-by-step explanation:
-8-8=-7+3n
-16=-4n
n=4
how to find the missing angle when given two sides of a right triangle?
Answers
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
if sine Theta is less than 0 and tan Theta is greater than 0 then
Answers
Answer:
Sine Theta is a negative number, Tan Theta is a greater number then zero.
Step-by-step explanation:
If Sine Theta is less then zero, she is a negative number. So 0 - y = -y.
So if Tan Theta is a greater number than zero, her number is not negative. So 0 + y = y
I hope this helped! I didn’t really understand the question though.
Karen bought 5 CDs that were each the same price. Including sales tax, she paid a total of $59.50. Each CD had a tax of $1.20. What was the price of each CD
before tax?
Answers
Answer:
10.70 a CD without tax (11.90 with tax)
Step-by-step explanation:
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
Answers
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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