Answer:
(x+3)(x+5)
Step-by-step explanation:
what two numbers will multiply to 15 and add up to 8?
3 and 5
so
(x+3)(x+5)
The dimension of the container of this size that has the minimum cost is , and
The given parameters are:
- Volume = 480m^3
- Cost: $5 per square meter for the bottom, and $3 per square meter for the sides.
Assume the dimensions of the container are: x, y and z.
The volume (V) would be:
Substitute 480 for V
And the objective cost function would be:
Differentiate the cost function using Lagrange multipliers
Divide equation (1) by (2)
Factor out 2
Cross multiply
Evaluate the like terms
Divide both sides by 3z
Divide the first equation by the third
Factor out 2
Cross multiply
Cancel out the common terms
Divide both sides by y
Make z the subject
So, we have:
and
Recall that:
Substitute and
So, we have:
Multiply both sides by 3/4
Take the cube roots of both sides
Recall that:
So, we have:
Also, we have:
So, we have:
Hence, the dimension of the container of this size that has the minimum cost is , and
Read more about Lagrange multipliers at:
brainly.com/question/4609414
Answer:
Can you scroll up, I cannot see the question.
Step-by-step explanation:
Scroll up and I will edit my answer
Answer:
Minimum: 50
Lower Quartile: 59
Median: 66
Upper Quartile: 74
Maximum: 92
Step-by-step explanation:
50, 55, 58, 60, 62, 64, 68, 70, 72, 76, 84, 92
Minimum: 50
Lower Quartile: (58 + 60)/2 = 59
Median: (64 + 68)/2 = 66
Upper Quartile: (72 + 76)/2 = 74
Maximum: 92
Answer:
44-y=x
Step-by-step explanation:
44 - the lemonade is equal to iced tea