The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( 2x - 10 )³
To calculate the value of f ( 8 ) , substitute the value of x as x = 8 in the equation , we get
f ( x ) = ( 2x - 10 )³
On simplifying the equation , we get
f ( x ) = ( 2x )³ - ( 10 )³ - 3 ( 2x )²( 10 ) + 3 ( 2x ) ( 10 )²
So , the equation is
f ( x ) = 8x³ - 1000 - 120x² + 600x
So , the equation is
f ( x ) = 8x³ - 120x² + 600x - 1000
Now , substituting x = 8 ,
f ( 8 ) = 8 ( 8 )³ - 120 ( 8 )² + 600 ( 8 ) - 1000
f ( 8 ) = 4096 - 7680 + 4800 - 1000
On simplifying the equation , we get
f ( 8 ) = 216
Therefore , the value of f ( 8 ) = 216
Hence ,
The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216
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