Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
Step-by-step explanation:
a number greater than 5 - 1/6
a prime number - 1/2
a number greater than 4 - 1/3
a number less than 6 - 5/6
(A) 5x+2y=21
(B) -2x+6y=-34
multiply (A) by - 3→ -15x - 6y = - 63 (C)
Now add (C) to (B):
-15x - 6y = - 63 (C)
-2x + 6y =-34 (B)
----------- --------
-17x = - 97 and x = 97/17
Now replace x value in any of the equation and you'll find y = - 64/17
1st Answer (97/17 , - 64/17)
2nd Answer : 97/17 + (-64/17) = 97/17 - 64/17 = 33/17 ≈ 2
105,264 Lego’s in a case (please give brainlist)
