Julio walks 3 1/2miles in 1 1/4hours
1 answer:
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Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing <em>x</em> units of a certain product is:
We want to find the number of units manufactured at a cost of $8350. Therefore:
Subtract 8350 from both sides:
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
In this case, a = 1, b = -15, and c = -8316. Thus:
Simplify:
Evaluate:
Therefore, our solutions are:
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.