The counting numbers are also called Integers
2 answers:
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Answer:
Step-by-step explanation:
We have the following theorem, if f is a polynomial with real coefficients, we can factor it completely in factors of the degree at most 2.
Consider first a polynomial of degree two, hence it is a polynomial of the form . The cuadratic formula tells us that the solutions are of the form
.
Note that square root, over the reals, tells us that the are only real solutions if . If that is not the case, say it's negative, the solution are complex. Then, the solutions are of the form
. NOte that this means that if we have a complex number of the form a+bi that is a solution, then the number a-bi (who is called the complex conjugate) is also a solution.
Recall that when we have a polynomial f(x) whose a zero is the number c, then we can factor f as follows f(x) = (x-c) * p(x) where p(x) is another polynomial of lesser degree .
So far, we know that -3 and 4-i are zeros of the function f. Note that we are missing two zeros. But, since complex numbers are zeros of polynomial only by pairs (that is the number and its conjugate are zeros), then, we must have that one of the missing 2 zeros is a real number. We have 4-i as a zero, then, its complex conjugate must be also a zero, i.e 4+i is a zero.
For this case, we can solve the problem by using the following ratio:
Where,
x: number of letters in 5 minutes
Clearing the value of x we have:
Answer:
At that rate, the number of letters that the worker can stamp in 5 min is 125.
Option D.
Answer:
a) The tables for both plans are attached.
b) The graph of both plans are attached.
c) If Gertrude is going to make less than 100 calls per month the best plan is Global Cellular. On the other hand, if Gertrude is going to make more than 100 calls per month the best option is Super Cell.
Step-by-step explanation:
a) We make a table for both companies. You can see that making 100 calls is the same cost per month in both companies.
Super Cell: M(100)=0.15×100+10= $25
Global Cellular: M(100)=0.25×100= $25
b)In the picture attached is shown the graph of both companies. The red line shows the graph of Super Cell plan and the blue line shows the graph of Global Cellular plan.
c) If Gertrude is going to make less than 100 calls per month the best plan is Global Cellular. Because blue line is below the red one(that means Super Cell is cheaper)
On the other hand, if Gertrude is going to make more than 100 calls per month the best option is Super Cell. Because red line is below the blue one(that means Global Cellular is cheaper)
