Answer:
8x + 14
Step-by-step explanation:
12x - 4x + 3 + 11 <em>(</em><em>Subtract</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>4x</em><em>)</em>
8x + 3 + 11<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>Add</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>
8x + 14
Tip: the like-terms 12x and 4x can be subtracted like regular numbers because they have the same variable and exponent.
The answer would be 3. {0,3}.
Remember: {x,y}
2(0)+3=3
0+3=3
0+3=3
Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
