Answer:
correct.
Step-by-step explanation:
The easiest way to solve this is to first eliminate the denominators by multiplying the whole expression by the lowest common multiple of 4, 3 and 6. In this case it is 12. If each fraction is multiplied by 12 then we get 3(3x-2)-4(2x+5)=2(1-x)Expanding the brackets gives 9x-6-8x-20=2-2xMoving all x terms to the LHS and all integers to the RHS: 9x-8x+2x=2+6+20Simplifying the expression: 3x=28dividing both sides by 3 gives the answer x=28/3 the value of x can be substituted into the original question to verify it is correct.
Answer:
Uhhhhhhhhhhhhh
Step-by-step explanation:
My name not jeff
what the dog doin
If solving for x, its x= 1, 11
Answer:
The equation of the line would be y = -3/2x - 1
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
3x + 2y = 8
2y = -3x + 8
y = -3/2x + 4
Since we know parallel lines have the same slope, we know our new line has a slope of -3/2. We can now use that along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -4 = -3/2(x - 2)
y + 4 = -3/2x + 3
y = -3/2x - 1
Answer:
![\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%2Bg%28x%29%2Bh%28x%29%5D%20%3D%20%5Cfrac%7B9%5Ccdot%20x%5E%7B8%7D%7D%7B%5Csqrt%7B1-x%5E%7B18%7D%7D%7D%20-%2081%5Ccdot%20x%5E%7B80%7D-2%5Ccdot%20x)
Step-by-step explanation:
This derivative consist in the sum of three functions:
,
and
. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:
![\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%2Bg%28x%29%20%2B%20h%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%5D%2B%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bg%28x%29%5D%20%2B%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bh%28x%29%5D)
Now, each derivative is found by applying the derivative rules when appropriate:
Given
(Derivative of a arcsine function/Chain rule)
Given
(Derivative of a power function)
Given
(Derivative of a power function)
(Derivative for a sum of functions/Result)