Answer:
16x
Step-by-step explanation:
Answer:
Domain: 
Range: ![(-\infty, 3]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%203%5D)
Decreases over: 
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
Solve for x
Hence, the domain is:
To get the range, we plot the values of the domain in the expression.
So, the range is:
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval
Answer:
Step-by-step explanation:
lets rewrite the equations so that the x and y are on one side and the constant on the other.
2y-x=3
-y+x=0
(we can cancel out the x because one is positive and one is negative)
y=3
(now plug the y value into any equation you want to)
-(3)+x=0
x=3
so our values are
x=3,y=3
If the radius of a cylinder is x, and the height is y, then the volume of the cylinder will be x²yπ. If every thing is quadrupled then it will be 4x and 4y, Therefore it will become (4x)²4yπ. This simplifies to 16x²4yπ, and then even further to 64x²y<span>π. Excluding the 64, that is the same as the original equation, so we now know that the coefficient of volume increase is 64, so the volume is 64 times greater. By the way, if you know the scale factor of change, the volume change will always be the scale factor change cubed. For area, or surface area it will be the scale factor squared. I hope this helps.</span>
Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
