Answer:
k = 2
Step-by-step explanation:
(-2,1) = (x,y) So you substitute -2 and 1 for x and y
1 = -(-2) - 1 1 = 1/2 × -2 + k
1/2 × -2 = -1 -1 + 2 = 1
k = 2 1 = 1/2 × -2 + 2
I hope this helps
No, you can not separate:
ln ( 7 + x ) ≠ ln 7 + ln x
You can separate just if you have a logarithm of multiplication.
For example:
ln ( 7 · x ) = ln 7 + ln x
Answer:
It's the fourth one y=-1/6x+2/3
Step-by-step explanation:
You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.
y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0
If you are a purist and want to solve the question the way it is written, you could do it this way.
dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2
dy/dx = - (-2 x^ - 3) / x^-4
dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
Answer: number 7. 7
Step-by-step explanation:
Simplifying
7X + 1 + -5X = 15
Reorder the terms:
1 + 7X + -5X = 15
Combine like terms: 7X + -5X = 2X
1 + 2X = 15
Solving
1 + 2X = 15
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2X = 15 + -1
Combine like terms: 1 + -1 = 0
0 + 2X = 15 + -1
2X = 15 + -1
Combine like terms: 15 + -1 = 14
2X = 14
Divide each side by '2'.
X = 7
Simplifying
X = 7
