40.9267 is the square root
Answer:
if its of 15 than it would be a tip of 3 dollars and a tax of 1.35 $
Step-by-step explanation:
Answer: 76 degrees
Step-by-step explanation: 63 + 13 = 76
We are given with two conditions and we label each positve number as x and y. The sum of the 2 numbers is x + y equal to S. The product is maximum.
The product is xy. To find the maximum
P = xy = x (S- x) = Sx - x2
dP = S - 2x = 0
hence x = S/2
y then is equal to S/2 also.
Answer:
Step-by-step explanation:
The given system is:
Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.
This gives me the system:
We could solve the first equation for and replace the second with that.
Let's do that.
Subtract on both sides:
So we are replacing the second in the second equation with which gives us:
Now recall the first equation we arranged so that was the subject. I'm referring to .
We can now find given that using the equation .
Let's do that.
with :
So the solution is (8,-1).
We can check this point by plugging it into both equations.
If both equations render true for that point, then we have verify the solution.
Let's try it.
with :
is a true equation so the "solution" looks promising still.
with :
is also true so the solution has been verified since both equations render true for that point.