Answer:
Question 1 - she will make $10.50 and still owe you $5.25 because 0.35 x 30 = 10.25
question 2 - for this im not sure because the 2nd, 3rd and 4th wont work so it should be the first but I’m not sure what that equation is saying
question 3 - 29 glasses need to be sold
The answer is called a <span>Wavelength Hope I helped!</span>
Answer with Step-by-step explanation:
We are given that

Let g(x,y)=
We have to find the extreme values of the given function


Using Lagrange multipliers



Possible value x=0 or 
If x=0 then substitute the value in g(x,y)
Then, we get 


If
and substitute in the equation
Then , we get possible value of y=0
When y=0 substitute in g(x,y) then we get

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).




Therefore, the maximum value of f on the circle
is
and minimum value of 
Answer:

Step-by-step explanation:
I'll start by finding the slope of this line using the slope formula:

Just by looking at the graph I know that the y-intercept is 20, so now I can write the equation in slope-intercept form (y=mx+b):

Step-by-step explanation:
An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.