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3 years ago

If f(x)=x-2, which of the following is the inverse of F(x)

2 answers:

5 0

The answer would be 2. This is because inverse means opposite, and since f(x)=-2, then that means the inverse would be 2.

Otrada [13]3 years ago

3 0

Answer:

$f(x)^{-1}$ = x + 2.

Step-by-step explanation:

Given : f(x) = x-2.

To find : inverse of F(x).

Solution : We have given that f(x) = x-2.

STEP 1: replace "y" in for the "f(x)":

y = x -2.

STEP 2: Switch the x and y

x = y -2 .

STEP 3: Solve for y:

On adding 2 both sides and switching the sides.

y = x + 2 .

STEP 4: write in the inverse notation

y = $f(x)^{-1}$ = x + 2.

Therefore, $f(x)^{-1}$ = x + 2.

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A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

adell [148]

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

8 0

3 years ago

Read 2 more answers

Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

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3 years ago

The Richards family bought some new camping gear at REI that totaled $318.50. If they receive a 30% discount, what is their tota

Alexeev081 [22]

318.50 x .30 = 95.55 discount.
318.50 - 95.55 = 222.95 is the total bill

6 0

3 years ago

Read 2 more answers

What is the area of the trapezoid shown below?

andrew-mc [135]

Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high

5 0

3 years ago

4 green marbles, 5 red marbles, and 2 yellow marbles are placed into a bag. One marble is chosen and replaced into the bag. A se

Ipatiy [6.2K]

Answer:

The probability is 10/121

Step-by-step explanation:

In this question, we are tasked with calculating probability.

The probability to be calculated is that we have an ordered selection of picking a red marble after which we pick a yellow marble.

Firstly let us know the total number of marbles we have. That will be 4 + 5 + 2 = 11 marbles

Probability of picking a red marble will be 5/11 while the probability of picking a yellow marble will be 2/11

Now, the probability of picking a red marble before a yellow marble will be mathematically equal to; P(r) * P(y) = 5/11 * 2/11 = 10/121

7 0

2 years ago