Answer:
y -10
x graph
Step-by-step explanation:
It’s c i know bc i had the question
we know that
The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.
Let
N----------> total number of tiles
Y---------> number of yellow tiles
B--------> number of blue tiles
P--------> number of purple tiles
we have

<u>1) Find the fraction of yellow tiles</u>
we know that
the fraction of yellow tiles is equal to

substitute the values

<u>2) Find the fraction of purple tiles</u>
we know that
the fraction of purple tiles is equal to

substitute the values

<u>3) Find the fraction of yellow tiles or purple tiles</u>
we know that
the fraction of yellow tiles or purple tiles is equal to

therefore
<u>the answer is</u>

Answer:
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3).
Step-by-step explanation:
xy = (x + y)^4
Using implicit differentiation:
x dy/dx + y*1 = 4 (x + y)^3 * (1 + dy/dx)
x dy/dx + y = 4 (x + y)^3 + 4 dy/dx (x + y)^3
x dy/dx - 4 dy/dx (x + y)^3 = 4 (x + y)^3 - y
dy/dx( x - 4(x + y)^3) = 4 (x + y)^3 - y
dy/dx = (4 (x + y)^3 - y) / ( x - 4(x + y)^3)
Answer:
and 
Step-by-step explanation:
To find the max points we need to take the derivative of the function and then find the critical values.
First we take the derivative:

Now we need to find when f'(x)=0 to find the critical values.

The critical values will be
for any integer n
between 0 and 2 pi, the critical values will be

We can determine if these are minimums or maximums by using the second derivative test.
So we need to take the second derivative;

We need to see if the second derivative is positive or negative to determine if it is a max or min.

Since the second derivative is negative at
and 
we know both of those are the x-values of maximums.