75.00-37.20=37.80-1.80=36.00
so she spent 36.00 with sales tax . then 36.00*2=72.00+10.00=82.00
the jeans original price was 82.00
Check:
The first step you should do is subtract 32 from both sides so your answer will turn out like this -
F = (9/5) C + 32
-
F - 32 = (9/5)
Then we will multiply both sides by 5.
5 ( F - 32 ) = 9 C
Divide both sides by 9 to isolate C.
(5/9) ( F - 32 ) = C
So the answer is :
C = (5/9) ( F - 32 )
Hope this helps :)
B.) a=-5.7
1.6(a)=-9.12
(a)=(-9.12)/(1.6)
a=-5.7
Just isolate f.. buy getting it alone on one side or the other
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
