Answer:
1. 6
2. $1.63
3. 4.6
4. 32
5. 34n = 306
6. 3/8
Step-by-step explanation:
0.9 is the answerrrrrrrrrrrrrr
I would recommend combing like terms (ex- 10x-9x=x) so it could be 15x^2+x-6 . I recommend using something like mathpapa to show you step-by-step how to do it, and if you know, then it just gives you a quick answer
1) Dimensiones of the cardboard:
length: 10 inches
width: 8 inches
2) dimensions of the squares cut
length: x
width: x
3) dimensions of the box:
length of the base = 10 - 2x
width of the base = 8 - 2x
height = x
4) Volume of the box
V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =
V = 80x - 36x^2 + 4x^3
5) Maximum volume => derivative of V, V' = 0
V' = 80 - 72x + 12x^2 = 0
6) Solve the equation
Divide by 4 => 3x^2 - 18x + 20 = 0
Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)
So, the answer is the option C. 1.5 inches.
The coordinate of g is (4,-2). Not sure if this is what you wanted but I hope it helps!!!
