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3 years ago

What is the inverse of f(x)=2x-6

Mathematics

1 answer:

saveliy_v [14]3 years ago

7 0

Answer:

The inverse is 1/2x +3

Step-by-step explanation:

f(x) = 2x-6

y = 2x-6

Exchange x and y

x =2y-6

Solve for y

x+6 =2y

Divide by 2

1/2x +3 = y

The inverse is 1/2x +3

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

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4 years ago

Helpp meee again ToT!

Mumz [18]

Answer:

4 one

Step-by-step explanation:

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3 years ago

What is the probability of getting at least three heads when flipping four coins?

umka21 [38]

0.25% chance of getting at least three heads out of four coin flips.

8 0

3 years ago

What correct equation to find the length of DF in the following diagram

Eva8 [605]

Answer:

Where is the diagram... I don't see it

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4 years ago

given that oa=2x+9y ob=4x+8y and cd= 4x-2y, explain the geometrical relationships between the straight lines ab and cd mathswatc

tangare [24]

The geometrical relationships between the straight lines ab and cd

is the straight line ab is parallel to the straight line cd

Step-by-step explanation:

Let us revise some notes:

If a line is drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy
To find the equation of AB subtract OB from OA, then AB = (c - a)x + (d - b)y
The slope of line AB = $\frac{-coefficient(x)}{coefficient(y)}$

∵ oa = 2 x + 9 y

∵ ob = 4 x + 8 y

∵ ab = OB - OA

∴ ab = (4 x + 8 y) - (2 x + 9 y)

∴ ab = 4 x + 8 y - 2 x - 9 y

- Add like terms

∴ ab = (4 x - 2 x) + (8 y - 9 y)

∴ ab = 2 x + -y

∴ ab = 2 x - y

∵ The slope of ab = $\frac{-coefficient(x)}{coefficient(y)}$

∵ Coefficient of x = 2

∵ Coefficient of y = -1

∴ The slope of ab = $\frac{-2}{-1}=2$

∵ cd = 4 x - 2 y

∵ Coefficient of x = 4

∵ Coefficient of y = -2

∴ The slope of cd = $\frac{-4}{-2}=2$

∵ Parallel lines have same slopes

∵ Slope of ab = slope of cd

∴ ab // cd

The geometrical relationships between the straight lines ab and cd

is the straight line ab is parallel to the straight line cd

Learn more;

You can learn more about the parallel lines in brainly.com/question/10483199

#LearnwithBrainly

4 0

3 years ago