If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answers
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
Related Questions
Carrie has $500 in her bank account. She plans to add $245 a week to her account. Jose has $710 in his bank account. He plans to add $230 a week. How many weeks will it take untill carrie & jose have an equal ammount of money saved up is neither of them spent any of their savings?
Answers
Answer:
14 weeks
Step-by-step explanation:
14 times 245= 3430+ 500=3930 (carrie)
14 times 230= 3220+ 710= 3930 (jose)
Find the distance from G(-3, -1) to the line whose equation is y = 4
Answers
The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
Read more about Distance of a Line at; https://brainly.com/question/7243416
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The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answers
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
find the slope (5,4) (5,9)
Answers
Answer:
undefined
Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answers
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21
A figure is made up of four congruent right triangles and a square as displayed.
What is the area, in square inches, of the figure?
Answers
Answer:
It would be 33² in.
Please answer quickly I really need this answer
Answers
hope this helps :)
Answer:
The answer is 10
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answers
what is 16+48 in distributive property??
Answers
Answer:
un-distribute the GCF of the two numbers.
16(1 + 3)
Distributing we get:
16(1) + 16(3)
16 + 48
Step-by-step explanation:
:)
Find the value of ×
[tex]3x + 2(x - 4) = 14[/tex]
Answers
Answer:
x = 22/5
Step-by-step explanation:
3x+2(x-4) = 14
Distribute
3x+2x -8 = 14
5x - 8 = 14
Add 8 to each side
5x-8+8 = 14+8
5x = 22
Divide by 5
5x/5 = 22/5
x = 22/5
(6-x3)5=45 Please help
Answers
Please look at the pic and help it got marked wrong
Answers
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5
Answers
Which symbol makes -121. That make -21 a true statement
Answers
Answer:
<
Step-by-step explanation:
To solve this correctly you need to remember how to compare integers.
Help APSPP!!!!!!!!!!
Answers
Answer:
c is the answer young flyyy
Step-by-step explanation:
Answer:
hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas
Step-by-step explanation:
ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answers
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answers
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.
The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answers
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Given 36 − 9, simplify the expression using the Difference of Squares.
Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.
36 − 9
62 − 32
This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.
Answers
Answer:
See below
Step-by-step explanation:
Using formula
x^2 - y^2 = (x + y)(x - y)Applying to given expression
36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.
Answers
Answer:
8:12
Step-by-step explanation:
It's a ratio!
How many red is there? 8!
How many blue is there? 12!
So red to blue is 8:12!
Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).
Step-by-step explanation: it is the answer edmentum gave me
what are the slopes of the two lines?
green has two yellow dots.
Answers
Answer:
-7(1/7) = -1
Step-by-step explanation:
Neeed help like NEOW
Answers
Answer:
_17 or -10 i think its -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ha
To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?
Answers
Answer:
the answer is ... look down below
Step-by-step explanation:
52 divided by 6 equals 8.66
AC Sports also manufactures tennis balls. It sells these in sets of three. The tennis
ball container is cylindrical with a radius of 3 inches and a height of 8.5 inches. The
marketing department is planning to create a new label to wrap around the container
and hopefully increase sales. Approximately how much space is there for a label that
wraps around the container?
Answers
Answer:
about 216.77 inches of space
Step-by-step explanation:
2πrh+2πr²
2π(3)(8.5)+2π(3)²
2π25.5+2π9
51π+18π
216.769893
about 216.77 inches of space
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answers
Answer:
-2,-3
Step-by-step explanation:
Find the perimeter of the figure.
7 mi
7 mi
Answers
Answer:
28mi
Step-by-step explanation:
The shape given is a square because all the internal angles are the same. Also, all the sides are equal;
The perimeter of a square is given as;
= 4L
Where L is the dimension of the sides
L in this problem is 7mi
Input the parameter and solve;
Perimeter = 4 x 7 = 28mi
Help!!!
Lines b and c are parallel.
What is the measure of 26?
Answers
Answer:
m∠6 = 54°
Step-by-step explanation:
∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.
So:
m∠6 = 5x + 9 and
5x + 9 + 13x + 9 = 180°
18x + 18 = 180
18x = 162
x = 9
To find m∠6, plug in values:
m∠6 = 5x + 9
= 5(9) + 9
= 45 + 9
= 54°
I mark as brainliest
Answers
Answer:
The answer is D
Step-by-step explanation:
you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying and A is not. so the answer is D
the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.
Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?
Answers
Answer:
Total money made is $597, $489 from hardbacks and $108 from paperbacks.
Step-by-step explanation:
$3 x 163= $489
$2 x 54= $108
total $= 3(163)+2(54)
total $= 489 + 108
total $ = 597
What is 6√2⋅√11−2√22 expressed in simplified form?
Answers
Hope this help you!!! :))