TURKEY 0.15xy+20y
GOBBLE 0.20xy+0y
x is the number of texts and y is the number of months
400 texts will need to be sent each month because solving the equation 0.15xy+20y=0.20xy+0y
0.15xy+20y=0.20xy
-0.05xy+20y=0
-0.05xy=-20y
turn -0.05xy into (-y/20)x
(-y/20)x=-20y
((-y/20)x=-20y)/-y/20
x=-20y/-y/20
x=400
TURKEY plan because 0.15(500)y+20y is 95y and 0.20(500)y+0y is 100y, meaning TURKEY would be cheaper.
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Answer:

Step-by-step explanation:
The complete question in the attached figure
we have

we know that
(ab)(x) is equal to the product of a(x) and b(x)
so

Applying distributive property



This is a quadratic equation
The other expressions not produce a quadratic equation