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3 years ago

f and f^-1 are functions. If f(x)=x+2, then f^-1 (x+2)=?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

$\mathtt{f^-1(x+2)=?}\\\mathtt{f(?)=x+2}\\\mathtt{but\:f(x)=x+2\:because\:at\:the\:question.}\\\mathtt{so\:?=x}$

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Mike hiked to a lake in 4.5 hours at an average rate of 2

aleksandrvk [35]

Answer:

It took Pedro <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = $2\frac{1}{5}\ miles/hr$

Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

Rate of Pedro while hiking the same distance = $2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr$

Given that, Pedro also travels the same distance.

And we have to find the Time.

$Time = \dfrac{Distance}{Speed}$

$Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}$

It took Pedro <em>3.81 hours</em> to reach the lake.

6 0

3 years ago

A ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s

arsen [322]

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds

7 0

3 years ago

100 POINTS IF U GET THIS RIGHT!

iVinArrow [24]

Answer:

That is the answer

Hope this helps!

3 0

3 years ago

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4. What is the solution of the system of equations?<br> y=-2x+5<br> y=-2x+20

Norma-Jean [14]

The system of equation, y = -2x + 5 and y = -2x + 20, have no solution.

<h3>How to Find the Solution of a System of Equations?</h3>

The solution to a system of equations is the ordered pair of x and y that makes both equations true.

Given the system of equations,

y = -2x + 5 --> equation 1

y = -2x + 20 --> equation 2

Subtract to eliminate variable "y"

0 = 0 + 25

0 = 25 [this is not true]

Therefore, no solution exist for the system of equations.

Thus, we can conclude that, the system of equation, y = -2x + 5 and y = -2x + 20, have no solution.

Learn more about system of equations on:

brainly.com/question/14323743

#SPJ1

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2 years ago

Lin and Andre start walking toward each other at the same time from opposite ends of a 22 mile walking trail. I am to lazy to ty

notka56 [123]

Answer:

2 hours- 5 miles, 6 miles, 13 miles

3 Hours- 7.5, 9, 9.5

4 hours- 10, 12, 6

Step-by-step explanation:

I think it might be wrong but I did my best sorry!

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3 years ago

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