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sattari [20]
3 years ago
11

What is the square root of -1? Why is it necessary to define i?

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Answer:

1

Step-by-step explanation:

Square roots are always the oposite

Troyanec [42]3 years ago
4 0

The square root of negative -1 is positive 1.

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What is the range of the function (e^x)/(e^x)+c? Assume that c is a constant greater than zero.
mr_godi [17]
Try this explanation:
1. if to re-write the given function as:
y= \frac{e^x}{e^x+C}; \ \ \textless \ =\ \textgreater \  \ y=1- \frac{C}{e^x+C};
then it is possible to define its range:
2)   
\lim_{x \to+ \infty}[1- \frac{C}{e^x+C}]=1;  \\ \lim_{x \to- \infty}[1- \frac{C}{e^x+C}]=0

answer: (0;1)
4 0
3 years ago
Which is the graph of f(x)
padilas [110]
I don’t understand please put it in a form i could possibly understand
8 0
3 years ago
Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?
Stella [2.4K]

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

     = 3(x² - 5x + 4) ← distribute

     = 3x² - 15x + 12

7 0
3 years ago
Read 2 more answers
A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is:A = P(1+r)^t

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> \frac{3.5}{100} -> 0.035

Lets plug in the values:

A=12,000(1+0.035)^7

A=15,267

The population after 7 years will be 15,267.

8 0
3 years ago
A tea‑drinking Canadian friend of yours claims to have a very refined palate. She tells you that she can tell if, in preparing a
wlad13 [49]

Answer:

20

Step-by-step explanation:

There are 20 ways to select 3 cups from the 6 cups.

This can be calculated using formula nCr

Where,

n = objects

r = sample

Calculating 6C3 using calculator that is 20.

6 0
3 years ago
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