Equivalent expression to 5/3 - x + 1/3
1 answer:
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The given sequence is x-1, -2x+2, 4x-4, -8x+8 .
Notice that this is a geometric sequence because here we have equal common ratio.
So, common ratio : r =
=
= Take out -2 as common factor
= -2 Cancel out x - 1.
The formula for general term of a geometric sequence is,
Where, first term:
We need to find the 10th term of this sequence. So, n = 10.
Next step is to plug in these values in the above formula to get the 10th term. Hence,
So, A is the correct choice.
The most appropriate choice for maxima and minima of a function will be given by
Rectangle of length 72 feet and breadth 36 feet has largest area
What is maxima and minima?
Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.
Here,
Let the length be x feet and breadth be y feet
The farmer has 144 feet of fencing
Three of the sides will require fencing and the fourth wall already exists.
So,
x + y + y =1 44
x + 2y = 144
Area of rectangle(A) = xy
= (144 - 2y)y
=
=
For largest area,
Hence area is maximum
For largest area, y = 36 feet
feet
So length of rectangle is 72 feet, breadth of rectangle is 36 feet
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