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azamat
3 years ago
10

Simplify the function. Than determine the key aspects of the function

Mathematics
1 answer:
Tom [10]3 years ago
8 0

To simplify the function, we need to know some basic identities involving exponents.


1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)


Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]

=(1/3)(3^(4*3*x/4) [ rule 1 above ]

=(1/3) (3^(3*x)

=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]



(A) Initial value is the value of the function when x=0, i.e.

initial value

= f(0)

=(1/3)(3^(3x))

=(1/3)(3^(3*0))

=(1/3)(3^0)

=(1/3)(1)

=1/3


(B) the simplified base base is 3 (or 27 if the other form is used)


(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).


(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

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Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.
WARRIOR [948]

Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.

In this scenario, the passive income sources are:

  • Stock dividends
  • Business investment interest
  • Royalties from a novel

Total passive income therefore is:

= 530 + 1,080 + 1,400

= $3,010

In conclusion, the total passive income is $3,010.

<em>Find out more at brainly.com/question/1246309. </em>

3 0
3 years ago
i) Baraka bought ksh.20,000 worth of shares of a company each month. During the first three months, he bought the shares at a pr
Sladkaya [172]

The average price paid by him for the shares after 3 months is ksh. 163.33

<h3>Average</h3>

  • Total value of shares bought = ksh.20,000

  • Amount of shares bought in the first three months = ksh.120, ksh.160 and ksh.210

Average price paid for the shares after 3 months

= (120 + 160 + 210) / 3

= 490 / 3

= 163.333333333333

Approximately,

ksh. 163.33

Learn more about average:

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4 0
2 years ago
Suppose a coin is flipped and a card is drawn from the deck. What is the probability that the coin lands on tails and the card i
Deffense [45]

Answer:

1/26

Step-by-step explanation:

1 out of 13 would be equal to the amount of cards that would be a jack.

But you also have to take into regards the coin flip 50%chance so you would just could what the number is divided by to get the right answer. Since out come could be tails or head instead of just being one for sure for example.

5 0
3 years ago
Help ASAP pleaseeeeeee ASAP ASAP ASAP thank u
uranmaximum [27]
D not for sure sorry if it’s wrong
5 0
3 years ago
Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

16/169

7 0
3 years ago
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