F ( x) = y = ( x - 4 ) / ( 33 - x )
( 33 - x ) * y = x - 4
33 y - x y = x - 4
- x y - x = - 33 y - 4 / * ( - 1 )
( we shall multiply both sides of an equation by - 1 )
x y + x = 33 y + 4
x ( y + 1 ) = 33 y + 4
x = ( 33 y + 4 ) / ( y + 1 )
Answer:
The inverse function is:
Cool problem !
Two pages of a book that face each other are consecutive integers, and one of them is even and the other one is odd.
So let's look at half of 69.
That's 34.5.
So let's try page 34 and page 35.
That works !
4x² - 11x = 3
4x² - 11x - 3 = 0
4x² -12x + x - 3 = 0
4x (x - 3) + 1(x - 3) = 0
(x - 3) (4x + 1) = 0
Using zero product property,
Either,
x - 3 = 0
x = 3
Or,
4x + 1 = 0
4x = -1
x = -1/4
The period of the cosine function is 2π radians. That is, the value of cos(Θ) repeats every 2π radians. Therefore whatever value of the variable in the function argument causes the argument to change by an amount equal to 2π is the period of the function.
<span>The argument of cos(x/3) is x/3. What value of x makes x/3 = 2π </span>
<span>
x/3 = 2π </span>
<span>
x = 6π
</span>
<span>Therefore the period of y =cos(x/3) is 6π</span>
Total land area of Rhode Island is :
And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :
Therefore, Total land area of Kent County :
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