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slavikrds [6]
3 years ago
5

Let f(x) = 8x3 − 22x2 − 4 and g(x) = 4x − 3. Find f of x over g of x

Mathematics
2 answers:
Degger [83]3 years ago
7 0

Answer:

\frac{f(x)}{g(x)}=\frac{2(4x^3-11x^2-2)}{4x-3}

Step-by-step explanation:

The given functions are.....

f(x)= 8x^3-22x^2-4\\ \\ g(x)=4x-3

Using the above functions, we will get......

\frac{f(x)}{g(x)}\\ \\ =\frac{8x^3-22x^2-4}{4x-3}\\ \\ =\frac{2(\frac{8x^3}{2}-\frac{22x^2}{2}-\frac{4}{2})}{4x-3}\\ \\ =\frac{2(4x^3-11x^2-2)}{4x-3}

SVEN [57.7K]3 years ago
3 0
F(x) = 8x³ - 22x² - 4
g(x) = 4x - 3

(f \div g)(x) = \frac{8x^{3} - 22x^{2} - 4}{4x - 3}
(f \div g)(x) = \frac{2(4x^{3}) - 2(11x^{2}) - 2(2)}{4x - 3}
(f \div g)(x) = \frac{2(4x^{3} - 11x^{2} - 2)}{4x - 3}

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eduard
No. Of times bee beats in 1 sec=250
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Frst find how many times bee beats in 1 min.
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3 years ago
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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y  

Now solve for the dy/dt when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s

8 0
3 years ago
Question 3 (2 marks)
Sav [38]

Answer:

$3385 per week

Step-by-step explanation:

so, he gets $370 plus 4.5% of what he is selling.

$67000 = 100% of selling

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7 0
2 years ago
What is 1/12x(4+6x3)-9?
sertanlavr [38]
Your answer is -43/6

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3 years ago
Solve 0.05p-0.02(5-2p)=0.05(p-2)-0.12
Montano1993 [528]
0.05p-0.02(5-2p)=0.05(p-2)-0.12 

0.05p-0.02(5-2p)=0.05(p-2)-0.12:p 


0.05p-0.1+0.04p=0.05p-0.1-0.12
 
  |Expand \ the \ equation| 

0.09p-0.1=0.05p-0.1-0.12
 
 

0.09p-0.1=0.05p-0.22 


0.09p-0.1-0.05p=-0.22
 

  |Subtract \ 0.05p \ from \ both \ sides| 


0.04p-0.1=-0.22
 
 


0.04p=-0.22+0.1
 
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0.04p=-0.12
 
 

0.04p/0.04=-0.12/0.04
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p=-3 

\star \ Hence \ Solved
8 0
3 years ago
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