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
lana66690 [7]
3 years ago
8

F (x) = 7x Find f^-1 (x)​

Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

f^-1 (x)​=1/7x

Step-by-step explanation:

f(x) = 7x

y=7x   x=7y

y=x/7

y=1/7x

f^-1 (x)​=1/7x

You might be interested in
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
Quick Question
omeli [17]

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

5 0
3 years ago
As a fringe benefit, Dennis Taylor receives a $31,000 life insurance policy from his employer. The probability that Dennis will
Paha777 [63]
In order to  see the probaability of this we need to do an easy calculation here:
If  X<span> is the price for the policy, then we proceed like this: 

</span>0.982x = 0.0275*<span>31,000
</span><span>
x = 0.0275*</span><span>31,000</span><span>/0.982 

Minimum ammount he can expect to pay = $868.12 </span>
3 0
3 years ago
Find the value of x in each case.
ExtremeBDS [4]
62 is the awnser for this
5 0
3 years ago
Belle operates a
olganol [36]
The correct answer would most likely be 0.75n - 0.18n
8 0
2 years ago
Read 2 more answers
Other questions:
  • A cereal serving has 5 grams of salt. How many milligrams is that?
    10·1 answer
  • Last question! I might have like 4 different ones.
    13·1 answer
  • 7x-3=-3+7x show your work
    7·1 answer
  • Help whats the answer to this Help plz
    7·1 answer
  • Question 3solve the problem.a moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the
    12·1 answer
  • Simplify and express the result in power notation as a positive exponent<br><br> (-2)^5/(-2)^4
    5·1 answer
  • Sally found that out of 750 cans stamped in the ½ hour trial run, 150 were not stamped. About how many were not stamped in 3 hou
    10·1 answer
  • (b) Scott added 8 fish to his pond each day for 64 days. What was the total change in the number
    12·1 answer
  • Please help .!!!!!!!!!!!!!!!
    6·1 answer
  • Which ordered pair could be the missing values
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!