Answer:
Option D,
, since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
Given that,
The function is (-x+3)/ (3x-2)
We have to find f(1) and f'(x).
Take the function expression
f(x)= (-x+3)/ (3x-2)
Taking x as 1 value
f(1)= (-1+3)/(3(1)-2)
f(1)=2/1
f(1)=1
Now, to get f'(x)
With regard to x, we must differentiate.
f(x) is in u/v
We know
u/v=(vu'-uv')/ v² (formula)
f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²
f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4
f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4
f'(x)=2-9/ (9x²- 12x+4)
f'(x)=-7/ (9x²- 12x+4)
Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
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97. The great wall is more than 20 000 kilometers long. And about ¾ of it is considered as properly preserved.
I guess you are asking about the value of ¾ which is properly preserved in the said length of the great wall.
=> ¾ = 0.75
Thus, the formula would be like this:
=> 20 000 * .75 = 15 000
Thus, the ¾ value of great wall that is preserved is equals to 15 000 kilometers long,
Answer:
Area is 24, while the height is 6 and the base is 4
Step-by-step explanation:
5x +8 >-12
5x > -20
x> -4
the answer is B