Answer:
a) The volume of the box is represented by 
.
b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Step-by-step explanation:
a) The volume of the box (
), in cubic inches, is modelled by the equation for the cuboid:
(1)
Where 
is the side length of the cutted square corners, in inches.
The volume of the box is represented by .
b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.
Answer:
D. –20x + 48
Step-by-step explanation:
–4(5x – 12)
= (-4) (5x) - (-4)(12)
= -20x - (-48)
= -20x + 48
Answer:
140 lunch items
Step-by-step explanation:
The unit ratio is 5:2
So if we take that and multiply it by 20 we get 100:40. 100+40 is 140
Hi there! :)
h(x) = 1/2x + 4
Substitute in -4 for "x" to solve for h(-4):
h(-4) = 1/2(-4) + 4
h(-4) = -2 + 4
h(-4) = 2
Since we are solving for h(-4) + 2, add:
2 + 2 = 4.
<u>ANSWER: </u>
The algebraic expression for one-eight of the sum of a number and three is 
<u>SOLUTION:
</u>
Given, "x" represent the unknown value.
We have to write the algebraic expression for:Here, the number is unknown term, so x represents the number.
Now according to given information ,
One - eight of the sum of a number and three.
→ 
of the sum of x and 3
→ 
→ 
→
Hence the algebraic expression for one-eight of the sum of a number and three is
