Answer:
Step-by-step explanation:
Given Equation:
Equation:1
Equation:2
Dividing Equation:2 by '3' both the sides:
or 
Equation:3
Putting the vale of 'x' in Equation:1
Subtracting '3' both sides
Putting value of 'y' in Equation:3
The solution of the equations is :
It could be? the 7 could be 7 to literally any number soooo
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Answer:
y = 3 - 2x
Step-by-step explanation:
The goal is to isolate the y variable
In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.
Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:
y = 3 - 2x
Now the y is isolated
Another example:
-5x + y = 15
To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:
y = 15 + 5x
