Answers
The graph of the inverse of a function is its reflection across the line y = x
Please find attached the required graph created with MS Excel
The graph of the inverse of a function is reflected over the line y = x
In order to graph the function f⁻¹, either the line y = x is drawn and the points of f⁻¹ are traced by taking equal distance from the line y = x, or the x, and y-coordinates of the f are reversed to get the coordinates of f⁻¹ as follows;
The reflection of the point (x, y) across the line y = x is (y, x)
The vertices of the graph of the function f, staring from the top are;
(5, 6), (3, -3), (-3, -5)
Therefore, we have;
The reflection of the point (5, 6) across the line y = x is (6, 5)
The reflection of the point (3, -3) across the line y = x is (-3, 3)
The reflection of the point (-3, -5) across the line y = x is (-5, -3)
The graph of the function f⁻¹ can be plotted using MS Excel, and the above values, as shown in the attached diagram
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Related Questions
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
Answers
HELP ME PLZ AN DTHANK YOU
Answers
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
A car’s value depreciates at a rate of 3.4% per year. The car was worth $30,000 when it was new.
Which equation could be used to determine when the car will be worth $18,500, where x is time in years?
A. 18500 = 30000 (0.034)^x
B. 18500 = 30000(0.966)^x
C. 30000 = 18500(0.34)^x
D. 30000 = 18500 (0.966)^x
Answers
(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?
Answers
Answer:
+ or - 0.044
Step-by-step explanation:
The margin of error is 0.044.
What is a Margin of Error?A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.
The margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
To determine a margin of error for a sample proportion,
Where n is the sample size and is the sample proportion, these assumptions must be true.
n t ≥ 10
n(1 - t) ≥ 10
Write the proportion of lead to significant as a decimal number first,
42%
= 0.42
Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.
⇒(479X0.42) 201.18
⇒ (479)(1 − 0.42)
⇒ 277.82
Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.
Determine the margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
For a 95% confidence level, z = 1.96.
Substitute the values of z, n, and T into the formula for margin of error and evaluate.
[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]
ME ≈ 0.044
Hence, the margin of error is 0.044.
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I haven’t done this since 7th grade sorry I just don’t remember
Answers
2
2. This system of equations has : y = -2x
y = -2x + 1
A. One Solution
B. Infinitely Many Solutions
C. No Solutions
Answers
Answer:
C. no solutions
Step-by-step explanation:
Both equations have a slope of -2, but have different y-intercepts. Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect. So, there are no solutions
1.99 divided by 3 to the nearest cent.
Answers
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)
Answers
Answer:
ACEStep-by-step explanation:
✓ A. (0, 0) [y < 3x + 2 → 0 < 2]
× B. (0, 2) [y < 3x + 2 → 2 < 2]
✓ C. (1, 4) [y < 3x + 2 → 4 < 5]
× D. (1, 7) [y < 3x + 2 → 7 < 5]
✓ E. (2, 6) [y < 3x + 2 → 6 < 8]
× F. (2, 8) [y < 3x + 2 → 8 < 8]
The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many
months did the family use the pool?
a-11
b-14
c-8
d-12
Answers
Answer:
The family used the pool for 8 months
Step-by-step explanation:
We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.
With that being said, here's our equation.
350 + 125x = 1,350
Subtract 350 from both sides and you should get this:
125x=1,000
Finally, divide 125 from both sides to get the x value.
x=8
:)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth.
Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters.
Answers
Answer:
cylinder A is 141.3 meters
cylinder b is 245.5 meters
Step-by-step explanation:
Cylinder a: 3x3x5x3.14
cylinder B : 5x5x3x3.14
Need help finding the length of AC
Answers
Answer:
I would have to say that the length of AC is 22.5
the cost of fun for kids magazine for x number of months is shown below
The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.
The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?
Answers
Answer:
Kidz comic costs the most
Step-by-step explanation:
Given
Family Fun
[tex]C(x) = 1.99x[/tex]
Kidz Comics
[tex]m = 1.85[/tex] --- monthly rate
[tex]b = 10[/tex] --- delivery charge
Required
Which is more expensive
A linear function is represented as:
[tex]f(x) = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex] --- i.e. the base charge
So, for Kidz comic; We have:
[tex]f(x) = mx + b[/tex]
[tex]C(x) = 1.85x + 10[/tex]
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
[tex]C(x) = 1.99x[/tex] ---- Family Fun
[tex]C(12) = 1.99 * 12[/tex]
[tex]C(12) = 23.88[/tex]
[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic
[tex]C(12) = 1.85*12 + 10[/tex]
[tex]C(12) = 22.2 + 10[/tex]
[tex]C(12) = 32.2[/tex]
By comparison
[tex]32.2 > 23.88[/tex]
Hence, Kidz comic is more expensive
if tanθcscθ = 3, find the value of cosθ
Answers
Answer:
1.5
Step-by-step explanation:
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \tan( \theta) \csc(\theta) = 3[/tex][tex] \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3[/tex][tex] \dfrac{1}{ \cos( \theta) } = 3[/tex][tex] \cos(\theta) = \dfrac{1}{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Please help :( ill give brainlest
Answers
Answer:
I think for this one it is D.
Step-by-step explanation:
3a-2b=14. 3a+2b=28
..
Answers
Answer:
a = 7
b = 3 1/2
Step-by-step explanation:
if you add the equations together then the 'b' will zero out
6a = 42
a = 7
substitute 7 for 'a' to solve for 'b'
3(7) - 2b = 14
21 - 2b = 14
-2b = -7
b = 7/2 or 3 1/2
Please answer the following question:
Answers
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
Ayoub is driving to France for his holiday.
He will drive a total distance of 300 miles. Ayoub sets off at 07:15.
It takes him 2.5 hours to travel the first 125 miles.
Use this information to estimate the time Ayoub will arrive.
Answers
Answer:
10:30 hours
Step-by-step explanation:
Total distance=300 Miles, Start Time=07:15
Distance travelled so far is 125 miles for 2.5 hours
First we need to calculate Ayoub's speed as follows
Speed=Distance/Time
=125miles/2.5hour
=50 miles/hr
The calculate the remaining distance
=300-125
=175 Miles
Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is
Time=Distance/speed
Substituting the values
Time=175/50
=3.5 hours
The time he will arrive at Paris is
07:15+03:30
=10:30 hours
In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com
Question 2
First calculate the time taken to travel from woodpine to Westray
Time=Distance/ Speed
=32.5/65
=0.5 hours or 30 minutes
Next we calculate the average speed
Average speed is calculated by taking the total distance divided by total time taken
Total distance =32.5+100
=132.5KM
Total time=2+0.5
Average speed=132.5/2.5
=53km/
Simplify the following expression log(x^2)-log(x)
Answers
Answer:log a - log b = log (a/b) than use this formula will get
log x^2 -log x = log (x^2 /x) = log x
so answer is log x
Step-by-step explanation:
what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?
PLEASE HELP ITS DUE TODAY
Answers
Help me plssssssssssss.
Answers
Answer:
5
Step-by-step explanation:
If SW ⊥ RT, m< RSU = 5x+17, and m<VST = 9x-11, find m<WSV.
Answers
Answer:
uhhhh.....wut?
Step-by-step explanation:
The measure of the angle WSV is 38 degrees.
What is the complementry angles?Complementary Angles Two angles are Complementary when they add up to 90 degrees.
The value of x is;
[tex]\rm 5x+17=9x-11\\\\ 5x-9x=-11-17\\\\-4x=-28\\\\x =\dfrac{-28}{-4}\\\\x=7[/tex]
The angle VST is equlas to;
[tex]\angle \rm VST=9x-11=9(7)-11=63-11=52 \ degrees[/tex]
The angle VST and angle WSV are the complementary angles;
[tex]\angle \rm WSV+\angle VST=90\\\\\angle \rm WSV+52=90\\\\ \angle \rm WSV=90-52\\\\\angle \rm WSV=38[/tex]
Hence, the measure of the angle WSV is 38 degrees.
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Would you help me solve this question with steps? It would really help, and thank you.
Answers
5x + 3y = 6
Answer's too short so here's some extra text.
is anyone have the answer to 9,576,984.9874 x 98.84
Answers
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
Please help thanks!!!
Answers
Answer:
Parallelogram
Step-by-step explanation:
Find the length of each arc. Round your answers to the nearest tenth.
A) 127.2 yd
C) 102.4 yd
B) 7.1 yd
D) 56.5 yd
Answers
Answer: 7.1 yd
Step-by-step explanation:
the formula for arc length is 2πr(x/360), x being the central angle
input the values, so the equation would be 2π9(45/360), which equals 7.1
You are playing a game using this spinner. You get one spin on each turn. Provide a probability model.
Answers
Answer:
THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!
Step-by-step explanation:
Answer:
1:4 is the ratio
Step-by-step explanation:
2:8 simplified is 1:4
not sure if this is exactly the right answer but I hope it helps
Please help !!!!!!
Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.
Answers
Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
A marble is picked at random. Without putting the first marble back, a second marble is picked at random. Find the probability that first marble picked is green and second marble picked is red. Write your result as a percentage.
Answers
Answer:
Probability = 1/5 = 20%
Step-by-step explanation:
Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2
Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5
Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5
Prob in percent = 1/5 x 100 = 20%
(3a - 6b + 12) - (6a - 2b + 7).
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Answer = −3a − 4b + 5
hi
khgbv h
ljv nkmj
gv hnyhrdsrfgbnkjnbhbbbhjik
Answers
Answer:
hihi
Step-by-step explanation:
Answer:
inspiringwords love it so much
Step-by-step explanation: