Answer:
4.92 hours
Step-by-step explanation:
Let x = the number of hours left to work. I am converting the fraction to a decimal to make it easier to work with.
x + 3 + 5 + 2.08 = 15
Move constants to the right
x = 15 - 3 - 5 - 2.08
Do the math
x= 4.92
<h3>
Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)</h3>
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
Answer:
Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= - 
cosx - 
sinx
squaring to obtain cos² (120 + x)
= 
cos²x + sinxcosx + 
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= - cosx + sinx
squaring to obtain cos²(120 - x)
= cos²x - sinxcosx + sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x + cos²x + sinxcosx + sin²x + cos²x - sinxcosx + sin²x
= cos²x + cos²x + sin²x
= cos²x + sin²x
= (cos²x + sin²x) =
Answer:
x - 3y = -12
Step-by-step explanation:
First find the slope by converting the given equation to slope-intercept form.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
- meaning that the slope = 1/3.
Y - y1 = m(x - x1) where m = 1/3 and (x1, y1) = (3, 5):-
y - 5 = 1/3(x - 3) Multiply each tern by 3:-
3y - 15 = x - 3
x - 3y = -12 is the required equation
