Answer:
Division property get you to the quick solution
Solution: 3.4
Step-by-step explanation:
5*(x - 2) = 7
Dividing both sides by 5
5*(x -2)÷5 = 7÷5
x - 2 = 1.4
Adding 2 on both sides, we
x -2 + 2 = 1.4 + 2
x = 3.4
Hope you will understand the concept.
Thank you.
I don't think this is possible.
The factors of -9 are:
-1 x 9
-9 x 1
-3 x 3
And when you add them together you get:
-1 + 9 = 8
-9 + 1 = -8
-3 + 3 = 0
Sorry but there is not an answer. :(
Answer:
B
Step-by-step explanation:
Since we are given that f(x)=1, we just have to find what value of x gives 1 as the result.
From the graph, we can see that (0,1) gives 1 as a y-value. Thus, when x is 0, y is 1.
Therefore, f(0)=1.
So, our answer is B.
And we're done!
Answer:
n = -33
Step-by-step explanation:
Let n = number
Sum of a number and 9
(n+9)
is tripled
3(n+9)
the result is six less then twice the number
2n-6
3(n+9) = 2n-6
Distribute
3n+27 = 2n-6
Subtract 2n from each side
3n-2n +27 = -6
n +27 = -6
Subtract 27 from each side
n+27-27 = -6-27
n =-33
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.
