Friday, May 15, 2015

Remember that a function is a rule that assigns to each element in the domain one and only one element in the range. If f(x) = 8x+4, find the...

In other words, we'll have to determine what is the x
value that whose correspondent y value, through the given expression of the function, is
1.6.


We know that f(x) = y, where the rule that assigns to
x a y value is f(x) = 8x+4.


8x + 4 =
1.6


We'll subtract 4 both sides, in order to isolate x to
the left side:


8x = 1.6 - 4


8x
= -2.4


Now, we'll divide by 8 both
sides:


x = -2.4/8


x = -0.3 or
x = -3/10


Since the value of x that makes y
to be 1.6 is denoted as a, then a = -0.3.

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Calculate tan(x-y), if sin x=1/2 and sin y=1/3. 0

We'll write the formula of the tangent of difference of 2 angles. tan (x-y) = (tan x - tan y)/(1 + tan x*tan y) ...