Answers
Hello!
[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]
[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]
Find the inverse by swapping the x and y variables:
[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]
Begin simplifying. Multiply both sides by 4y - 5:
[tex]x(4y - 5) = 2y + 2[/tex]
Start isolating for y by subtracting 2 from both sides:
[tex]x(4y - 5) -2 = 2y[/tex]
Distribute x:
[tex]4yx - 5x - 2 = 2y[/tex]
Move the term involving y (4yx) over to the other side:
[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]
Factor out y and divide:
[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]
Use this equation to evaluate [tex]f^{-1}(3)[/tex]
[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]
Related Questions
3. The diagram shows two
corresponding vertices connected to
the center of rotation. Use the
protractor to measure it.
M
Answers
Answer: 90°
Step-by-step explanation:
i took the test
The value of angle APA' is 90°.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a point 'p' which is a fixed point.
Triangle ABC is rotated about the 'p' point such that the new location of A, B, and C becomes A', B', and C'.
The new triangle formed is triangle A'B'C'.
From the figure, we can clearly see that the angle APA' is a right-angle triangle.
m∠APA' = 90°
Thus, the value of angle APA' is 90°.
Learn more about the geometric transformation here:
brainly.com/question/16156895
Evaulate A+7 when a=4
Answers
Answer:
11
Step-by-step explanation:
Plug in 4 for a and solve.
4+7 = 11
Answer:
4+7=11
Step-by-step explanation:
Find the Retail Price. Given: Original Price: $60; Markup: 18%
Answers
Answer:
$70.80
Step-by-step explanation:
Answer:
$2.88
Step-by-step explanation:
Hey hoped I helped! Have an amazing day and consider marking this brainliest if you do thank you in advanced! Merry Christmas!
I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY !!!!
Answers
Answer:
neither
Step-by-step explanation:
the correct answer should be ASA since 2 angles and 1 side is congruent
A or B? I need the answer soon as possible.
Answers
Explanation: I’m guessing because that’s a black picture
(Due Now!! HELP; I know how to do this I just don't have time)
The cost of 3 pounds of bananas is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of bananas, x ?
A) 6.57
B) 3
C) 2.19
D) Not here
Answers
Answer:
It is C.
Step-by-step explanation:
You divided 6.57 by 3
and 3 by 3
3 by 3 = 1
6.57 = 2.19
3 so for every 1 pound it costs $2.19
C) 2.19
Step-by-step explanation:
Hope this helps!!
This is the second time I put this, PLEASE ANSWER!!!
Subtract.
7h 15min 12s
2h 03min 46s
OPTIONS:
5 hours, 11 minutes, 26 seconds
5 hours, 11 minutes, 34 seconds
5 hours, 12 minutes, 26 seconds
5 hours, 12 minutes, 34 seconds
Answers
Answer:
5h 11m 26sec
Step-by-step explanation:
7h 15m 12 sec
2h 03m 46 sec
-----------------------
5h 11m 26sec
Answer:
7h 15m 12s
-2h 03m 46s
...................
5h 11m 46s
Step-by-step explanation:
An Olympic race has 14 competitors.
How many ways can the gold, silver, and bronze medals be awarded?
Answers
Answer:
720 ways
Step-by-step explanation:
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Answers
Answer:
Understandable. Have a good day.
thats so cool btw thanks for the free points have a great day !
Please help me with a math question ASAP!!! Will give Brainliest
Below is a screenshot of the problem
Answers
Answer: 128
Step-by-step explanation: 3 x -2 + 70 = 64 + -2 + 70 = 128
Why were Samaritans disliked by the Jews at the time?
Answers
Answer: they had a bad reputation
Step-by-step explanation:
I REALLY NEED HELP please somebody
Answers
Answer:
WITH WHAT WHATS WRONG???
Step-by-step explanation:
yes tell the question
what is 266 divided by 14
Answers
Answer:
19
Step-by-step explanation:
can someone help me !
Answers
Answer:
C) ??????? I think
Step-by-step explanation:
Hope this helps
Answer:
i think the answer is c or d which makes more since
Step-by-step explanation:
the answer is c
Please help. with this question
Answers
Answer:
33 36 42 52 92
105
Step-by-step explanation:
need help ASAP mid term .
- 60 points
Answers
the metal bar/random line is almost the same size as the other two sides of the triangle. if one side is 32ft, then the opposite side is 32ft also. the bottom is 100ft, so we could eliminate C. because it couldnt be that number. now the bottom triangle, one side is 40ft so the other side has to be 40ft as well. its asking about the metal bar.
its either:
A. 53.2ft or
B. 44.4
because the line is almost the same size as 32ft. its almost a equallateral triangle. i would go with A. though because if you imagine the line at the bottom of the line (100ft.) the line would go over half of it (and 53.2 is over half of 100) so i would say
A.53.2
if this didnt help let me know. and i will delete this (if i can-)
2. If 3 = 12, what is the value of x? O 8 018 024?
Answers
Answer:
x=8
Step-by-step explanation:
2/3=x/12
3x=24
x=8
HELP PLS I WILL GIVE BRAINLIEST
Answers
Answer:
$18 hun :)
Step-by-step explanation:
Answer:
18$
Step-by-step explanation:
Whitch of the following number is between 2/5 and 7/8
Answers
Answer:
The correct answer is B.
Lets go through explaination:
According to the question, the answer should be between 2/5 and 7/8
If we changed the fraction into decimal, we will get 2/5 as 0.4 and 7/8 as 0.875
So now, we have to get the numbers in between 0.4 and 0.875
Changing all the fraction in the form of decimal:
15/16 = 0.93753/4 = 0.753/8 = 0.3751/3 = 0.33333333333......In the above answers, only no. B is between 2/5 and 7/8.
So, B is the correct answer.
Please help! 426 1/5 - 275 ½= ?
Answers
150.7
Step-by-step explanation:To solve this, we first turn both the fractions into decimals :
[tex]\frac{1}{5} = 0.2\\[/tex] (add this to 426 to get 426.2)
[tex]\frac{1}{2} = 0.5[/tex] (add this to 275 to get 275.5)
Then, just solve the equation :
426.2 - 275.5 = 150.7
oh yeah this is big brain time boyz
Answers
Answer:so it would be between 14/20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Well first you should rearrange the equation to make it easier to graph. 8x-4y=16.
8x - 4y = 16.
8x +4y = 16 + 4y
8x -16 = 4y
Divide both sides by 4 to get y by itself.
2x - 4 = y
The y-intercept is -8 and the slope is 2x so the graph would look something like this.
solve for c: 2(c - 6) = 9c + 2
Answers
Hope this picture helps
I really need this badly, click on photo if neccessary
Answers
Answer:
Aluminum
Step-by-step explanation:
To find the unit rate being used for the substance, we need to divide the grams by the cubic measurement. ([tex]g[/tex]/[tex]cm^{3}[/tex]).
108 grams divided by 40 is 2.7, which is the density of Aluminum, therefore making Aluminum the answer.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
What is the slope of the line on the graph below
Answers
find a point, you go up 2 and then over 1!
hope this helps, feel free to mark brainliest!!
Answer:
2
Step-by-step explanation:
Pick any point
You go up 2 and 1 over
2/1 is the same as 2 just simplified!
Help please 150 x 189
Answers
PLZ HELP I WILL MARK BRAINLIEST - What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches?
Use 3.14 for π. Round your answer to the nearest hundredth.
37.68 cubic inches
56.52 cubic inches
100.48 cubic inches
113.04 cubic inches
Answers
Answer:
D: 113.04
Step-by-step explanation:
Volume cone formula: V=πr^2h/3
V = π(6)^2 3/3
V = 113.1
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
113.04 cubic inches
Step-by-step explanation:
First lets identify the equation to find the volume of a cone.
V= [tex]\pi[/tex] r^2 h/3
Next we'll plug in height and radius
h = 3
r = 6
V = [tex]\pi[/tex] 6^2 * 3/3
V = [tex]\pi[/tex] 36 * 3/3
V = [tex]\pi[/tex] 36 * 1
V = [tex]\pi[/tex] 36
V = 36[tex]\pi[/tex]
Now we'll use 3.14 for [tex]\pi[/tex] and times it by the 36
V = 36[tex]\pi[/tex]
V = 113.04
V= 113.04 cubic inches
If you ever need any more help don't be afraid to reach out and I hope this helps!
I'm taking my final please answer this and wish me luck
Answers
Answer:
B 7feet
Step-by-step explanation:
Side a = 24
Side b = 25
Side c = 7
Angle ∠A = 73.74° = 73°44'23" = 1.287 rad
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 16.26° = 16°15'37" = 0.28379 rad
C=16.26°B=90°A=73.74°b=25a=24c=7
Area = 84
Perimeter p = 56
Semiperimeter s = 28
Height ha = 7
Height hb = 6.72
Height hc = 24
If f(x)=6x-15 and f(a)=30, what is the value of a?
Please help
Answers
Answer:
[tex]a=7.5[/tex]
Step-by-step explanation:
Given the function [tex]f(x)=6x-15[/tex] and the output [tex]30[/tex] when [tex]x=a[/tex], we can write the equation:
[tex]6a-15=30[/tex]
[tex]6a=45[/tex]
[tex]a=7.5[/tex]
We can insert the value of [tex]a[/tex] into the function to verify the output equals [tex]30[/tex]:
[tex]f(a) = 6a-15[/tex]
[tex]= 6(7.5)-15[/tex]
[tex]=30[/tex]
∴ We have verified that [tex]a=7.5[/tex]
Hope this helps :)
The owner where your work explains that you're paid $8/hour and receives a $25 bonus each month for being the manager. If the owner hands you a check for $250, How many hours did you work this month? Write an equation and solve.
Answers
Answer:
28.125 hours
Step-by-step explanation:
Amount of money paid per hour = $8
Bonus of being a manager = $25
Total amount of money paid = $250
To find:
Number of hours worked for this month?
Solution:
Let the number of hours worked = [tex]h[/tex] hours
Amount of money paid for [tex]h[/tex] hours = $8[tex]h[/tex]
As per question statement:
Bonus + Amount of money paid for [tex]h[/tex] hours = $250
[tex]25 + 8h = 250\\\Rightarrow 8h = 250 -25\\\Rightarrow 8h = 225\\\Rightarrow h =\dfrac{225}{8}\\\Rightarrow \bold{h = 28.125\ hours}[/tex]
Therefore, the answer is:
Number of hours worked = 28.125 hours
Solve for x.
21x – 4
20x
Answers
Answer:Think x is 3
Step-by-step explanation: