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Andru [333]
3 years ago
10

F(x)=x^3-2x+6 g(x)=2x^3+3x^2-4x+2 Find (f-g)(x).

Mathematics
1 answer:
____ [38]3 years ago
7 0
(f-g)(x) = f(x) - g(x)
  = (x^3 -2x+6) - (2x^3+3x^2-4x+2)
  = x^3 -2x +6 -2x^3 -3x^2 +4x -2 . . . . distribute the negative sign
  = (1-2)x^3 -3x^2 +(-2+4)x +(6-2) . . . . . combine like terms

(f-g)(x) = -x^3 -3x^2 +2x +4
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A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.
Lisa [10]
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
5 0
3 years ago
The following numerically ordered sequence of numbers has a mean
Vladimir79 [104]
Median =  middle number

Total ten numbers so 
median =   (17 + b)/2
given median = 18
so
(17 + b)/  2 = 18
17+b = 36
b = 36 - 17
b = 19

Now you have the data set
7, a , 12, 15 , 17, 19, 20, 22, 24 , 25

Mean =  (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24  +25)/ 10
Given mean = 17

so
17 = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24  +25)/ 10
17 = (a + 161) / 10
a + 161 = 170
a = 170 - 161
a = 9

answer
a = 9
b = 19
7 0
3 years ago
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Which statement is true about the meaning of the equation 2=5x2/5
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