Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:

cm cubed

which is negative because (50-66.666)<0
Answer: 18000 cm cubed
Answer:
B
Step-by-step explanation:
The best - well, only way- is to check a few points.
Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.
A represents
, B is the one you want, C is
and D looks like 
Answer:
See Below
Step-by-step explanation:
Ok, this is just like the systems of equations.
x-7 = 5x-31
Solve
x-7 = 5x-31
-x -x
-7 = 4x -31
+31 +31
24 = 4x
24/ 4 = 4x/ 4
x=6
Hope this helps!=)
The answer is 15x + 15
Each person needs to pay x dollars per hour, and also 3 dollars for a helmet
Let us convert this into a pseudo-expression:
1 person = (x dollars) x (y hours) + 3 dollars
Now, it says that there are 5 people, so we need to multiply both sides by 5
5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars
Furthermore, it says that each person wants to go horseback riding for 3 hours:
5 people = 5(x dollars) x (3 hours) + 15 dollars
Now, we just need to convert this into an expression
5 people = 5(x)(3) + 15
5 people = 15x+15
They want the expression for cost, so we just need to give them
15x + 15
Answer:cause
Step-by-step explanation: