If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
Answer:
4
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
I am unable to read all of the options in the picture you provided but I hope this helps! (:
Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.
By the PEMDAS rule, as long as the stuff inside the parentheses add up to 42, it would be correct. Therefore:
A. Correct because 40 + 2 = 42
B. Correct because 20 + 22 = 42
C. Incorrect because 4 + 20 = 24 ≠ 42
D. Incorrect, because 4 + 2 = 6 ≠ 42
