Answer: The volume of largest rectangular box is 4.5 units.
Step-by-step explanation:
Since we have given that
Volume = 
with subject to 
So, let 
So, Volume becomes,
Partially derivative wrt x and y we get that
By solving these two equations, we get that
So, 
So, Volume of largest rectangular box would be
Hence, the volume of largest rectangular box is 4.5 units.
7:14 or simplified 1:2 (use simplified)
Find total amount of fruit by adding
4+7+3=14
7 pears to 14 total fruits in ratio form is 7:14 which simplifies to 1:2
Answer:
Let "x" be the number of people who can go to the amusement park.
So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.
Solving this inequality, we get:
19 + 14x ≤ 180
14x ≤ 161
x ≤ 11.5
Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11
Hope this helps!
Answer:
-25
Step-by-step explanation:
(1) y = -2x²
(2) y = 2x² + k Subtract (1) from (2)
0 = 4x² + k Subtract 4x² from each side
k = -4x²
The parabolas are <em>symmetrical about the y-axis.</em>
Segment AB = 5, so x = +2.5 and x = +2.5.
k = -4(±2.5)² = -4 × 6.25 = -25
answer: 1117
the first block is 1000
the second is 100
the third is 10
then the last few count up to 7
