Answer:
x=8 and y=53
Step-by-step explanation:
Given function:
Find x:
- the two equation, the x and are breaked apart..
- so find a number that they can both equal to together and has the same y.
- multiply by 8..
·
- combine the terms for x and 13
- since x is 8 then if we add 8 with 45 it should be 53...
y is:
Therefore, x=8 and y=53..
You first need to cross multiply to get 8x+8=6x^2-6. Then make the function into 6x^2-8x-14=0 which can be simplified into 3x^2-4x-7=0 by dividing the equation by 2. Then you must split the middle(-4x) to get 3x^2+3x-7x-7=0. This simplifies to 3x(x+1)-7(x+1)=0 and then to (3x-7)(x+1)=0. From here you just solve for each root which you will find are x= -1 and 7/3
Answer:
Rate of increase in height =
Step-by-step explanation:
we know that volume of a cone is given by
It is Given that diameter equals height thus we have
Differentiating both sides with respect to time we get
Applying values and solving for 
we get
5x-7y=14
-5x -5x
^
Subtract 5x from both sides
-7y=-5x+14
Divide by -7 by all of the numbers
y=-5/7x-2
