If f(x) = 6x-1, find f1(x)
Answers
Answer:
Inverse function are symmetric with respect to line y=x.
It can be written as:
and
Let's rewrite the given function notation by using y term.
f(x) = 6x-1
i.,e y = 6x-1
Let's solve this equation for x;
Add 1 to both sides we get;
y+1 =6x
Divide both sides by 6 we get;
Now, switch the "x" and "y" we have;
In the function notation:
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A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in3 per week.How many weeks will it take for all of the chemical to evaporate?Use 3.14 to approximate pi.
Write this number in two ways in expanded form 204.032
If 2000 miles increased by 33%, how many miles did it increase?
Which is the best estimate for the weight of a stapler 4 ounces 4 pounds 4 inches 4 feet
Answers
Answer:
Step-by-step explanation:
It is given that A bacteria population doubles in size every 5 hours. After 5 hours, the sample contains 2,000 bacteria.
and also Y=populations size and x=number of hours.
so at x=0 , Y=1000 and after 5 hours x=5 ,Y=2000. and after 5 more hours
at x=10, Y=4000
so we see that it is doubling every 5 hours i.e. the Equation will be like this
where x= multiple of 5 years.
Answers
Answer:
The center of the rail rise above the ground is:
15 meter.
Step-by-step explanation:
As the railroad on expansion will form a right isosceles triangle.
The railroad is 3 km=3000 m before expansion.
It expanded by 15 cm.
This means that in meters it expanded by 0.15 m
Hence, the railroad after expansion it is: 3000.15 m
Now we need to calculate the hypotenuse of the right triangle in order to find the center of the rail rise above the ground.
and hence it is calculated as:
which in meters is approximately given by:
15 meters.
3km =m 3 x 1000m = 3 x 10 ^3m
expansion = 3x 10^3m + 15 x 10 cm
I need help asap
Answers
Answer:
8. x=28
9. x=18
10. x=22
11. x=45
Step-by-step explanation:
srry dont know how to do rest
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The mean of the set is ( 26 + 43 + 48 + 29 + 16 + 30 ) / 6 = 32 ;
the absolute value difference between each number:
/ 26 - 32 / = 6 ; / 43 - 32 / = 11 ; / 48 - 32 / = 16 ; / 29 - 32 / = 3 ; / 16 - 32 / = 16 ;
/ 30 - 32 / = 2 ;
the mean absolute deviation of 26 43 48 29 16 30 is ( 6 + 11 + 16 + 3 + 16 + 2 ) / 6 = 9 ;
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60 x 5/8 = 37.5 miles
(Lava Flow) 37.5 < 48 (Horse)
In addition, that was only the fastest speed that it was recorded. This means that there would have been slower rates of movement, further decreasing the flows total distance in an hour.