I think the mode is 9.875
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
We want to convert this equation in terms of m, where 
While solving this problem, I instantly noticed the 
in the first term of the equation. Replace that with m.
Simplifying the rest is not as obvious. Using the distributive property, we can change ![[7x^2+21]](https://tex.z-dn.net/?f=%5B7x%5E2%2B21%5D)
to ![[7(x^2+3)]](https://tex.z-dn.net/?f=%5B7%28x%5E2%2B3%29%5D)
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to 
and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D
Each roast beef cost $4 and each vegetarian sandwich cost $2.5
Let x represent the cost of each roast beef and let y represent the cost of each vegetarian sandwich.
Bhargav buys five roast beef and three vegetarian sandwiches and the order costs $27.50. This can be represented by the equation:
5x + 3y = 27.50 (1)
Bhargav buys 2 roast beef and 6 vegetarian sandwiches and the order costs $23.00. This can be represented by the equation:
2x + 6y = 23.00 (2)
To find x and y, we have to solve equation 1 and 2 simultaneously. Multiply equation 1 by 2 and subtract equation 2 from the result:
8x = 32
x = 4
Put x = 4 in equation 2
2(4) + 6y = 23.00
6y = 15
y = 2.5
Therefore each roast beef cost $4 and each vegetarian sandwich cost $2.5
Find out more at: brainly.com/question/16763389
