1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler79 [48]
3 years ago
13

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

f(x) = 2x + 5

f(x) = 2x + 5 and three halves doesn't sound correct.

So, I will take f(x) as

f(x) = 2x + 5

Next, solve for the inverse function

Replace f(x) with y

y = 2x + 5

Swap x and y

x = 2y + 5

Make 2y the subject

2y = x-5

Make y the subject

y = \frac{x-5}{2}

Replace y with the inverse sign

f^{-1}(x) = \frac{x-5}{2}

So, now we can calculate any value from the original function and from the inverse function.

For instance:

f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1

f(1) = 2*1 + 5 = 2+5=7

You might be interested in
Solve e / e = mc2 and m =3 and c = 3
faust18 [17]
\text{e = mc}^2

\text{Given that m = 3 and c = 3,}

e = (3)(3)^2 = 27

Answer: e = 27
8 0
3 years ago
Which of the following is a congruence transformation?
Gennadij [26K]
The answer is C. Reflecting
6 0
3 years ago
Help with all please
seropon [69]

a) First, draw a graph. The x axis should be numbered: 0, 1, 2, 3, 4, 5, 6, 7, 8. Each number is the last digit of the year. For each year, there is one average score that has to be plotted. Number the y axis of the graph from 0-600, by increments of 50, or something around there. Now, with each year (each x value) place the dot as high as the average score. Repeat with all years. DO NOT draw a line to connect them. A scatter plot is a bunch of points that are not connected.

b) Use the form (y2-y1)/(x2-x1) where (x1,y1) (x2,y2) are any two points from 2001-2006. It does not matter which points, pick any, and assign each of the numbers x1,y1 and x2,y2. Plug it in to the equation, and simplify. This is your slope, also called m. Now plug m into the equation y-y1=m(x-x1) where y1 and x1 are the x and y coordinates of any point from 2001 to 2006. x and y dont have values themselves, they stay there. Now distribute the m into the parenthesis, add y1 to both sides (to cancel it out on the left), and you should be left with the same equation, but now in y=mx+b form. B is where the line crosses the y axis, so put a point on the vertical axis where b is. M is your slope, so every time you go to the right one number, go up M numbers. Draw another point. Repeat this until you can connect these new dots into a line. This line should be on the same graph as your other points, but might not touch all of the scatter plot points. That's still okay, just leave it as is.

c) Find the point where x=6 (meaning the year is 2006) on your line. Find the average test score for that year by seeing where the point lines up along the y axis (draw a straight line from the point to the left to see, if you have to). Take that number and add 1m (the m is the number you used in step B) to it. This predicts what the average score might be after 1 (that's why the 1 is there) year. This is a predicted value, and might not be perfectly correct!! Write/record how close this new, predicted, score is to the actual number, 515, which can be found on the scatter plot.

d) repeat step C exactly as before (still use the year 2006) , but add 4m instead of 1m, to get the predicted score 4 years after 2006 (2010), instead of 1 year after (2007).

I hope I have been of some help! Best of luck!!! :)

3 0
3 years ago
On paper, make a rectangle that has points A and B as two of its vertices and has a perimeter of 40 units. Draw and label the tw
Westkost [7]

Answer:

A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)

Step-by-step explanation:

If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:

\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10

Therefore we can say:

A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)

Technically when w=lin this rectangle is a square, a degenerate square.

8 0
2 years ago
HURRY AND AWNSER SISSYS
Llana [10]

Answer:

Neither

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Why is 5x4 greater than 5x1/4
    7·2 answers
  • What shows a perfect square trinomial?
    9·1 answer
  • A die is rolled twice. what is the probability of showing a 1 on the first roll and an even number on the second roll?
    5·1 answer
  • The measure of the angle formed by two intersecting perpendicular lines is __________.. . Choices;. 45. 360. 180. or . none of
    12·2 answers
  • What equal 4 kilograms
    7·2 answers
  • If a square has a perimiter of 40 yards what is the length of one side of the square
    10·1 answer
  • -2x+y=8 help is needed​
    9·2 answers
  • What's a radian?
    7·1 answer
  • helppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeee itssss urgentttttttttttttttttttttttttttttttttttttttttt
    12·1 answer
  • The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!