What is X+8/x^2-2x-24
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced.
The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210.
Solution:
a) Let x represent model pump A and let y represent model pump B.
Since There are 63 lbs of stainless steel available, hence:
4.5x + 3y ≤ 63
Both pumps must be at least 12 pumps. Therefore:
x + y ≤ 12
There are orders for at least 6 of the lightweight Model B:
y ≥ 6
Also, no more than 15 Model B pumps be produced:
y ≤ 15
The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. The cost equation is:
Minimize Cost = 150x + 210y
b)
Hence the LP formation is:
Minimize Cost = 150x + 210y
4.5x + 3y ≤ 63
x + y ≤ 12
y ≥ 6
y ≤ 15
x ≥ 0.
c) The LP problem was solved using geogebra online graphing tool.
The points that satisfy the problem are:
(0, 6), (0,12), (6, 6)
At (0,6); cost = 150(0) + 210(6) = 1260
At (0,6); cost = 150(0) + 210(12) = 2520
At (6,6); cost = 150(6) + 210(6) = 2160
Hence the minimum cost is at (0, 6)
Answer:
B)
Step-by-step explanation:
To find this recursive formula, we need to look at the relationship between each term in the sequence.
When looking at n=1 and n=2, we can see that we have 5 and 11.
We have to find a pattern between each term in the sequence. If we double 5, which is the previous term, and add 1, we get 11.
Lets see if this works for the next term, 23
First, lets double 11 = 22
Now add 22+1=23. We got the right term. Lets test it again
23*2=46
46+1=47
And now the last term
47*2=94
96+1=95
As you can see doubling the previous term and adding 1 works for all of these terms.
when written as a recursive formula, it would be , which is B