Answer:
1
Step-by-step explanation:
Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.
Step 1. multiply the bottom to the other side
3=(5x+5)/(11)
Step 2. multiply the eleven to the other side
33=(5x+5)
Step 3. subtract the 5 to the other side
28=5x
Step 4. divide by 5
x=28/5 or 5.6
hope that helps!
Answer:
Step-by-step explanation:
To solve this problem, first you have to use the distributive property of .
First, expand.
Next, solve.
In conclusion, the correct answer is -15y-9.