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12345 [234]
3 years ago
6

If ST=SV=90, TU=7x, and UV=x+84, what is the value of x?

Mathematics
1 answer:
posledela3 years ago
5 0
84 will be the answer to the question
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Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
jeyben [28]
The given expression is:

f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\  \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x}      \\  \\ 
f(x)=  \frac{1}{2}(9)^{x}

From the above equation, we can answer all the 4 questions.

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So,

f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
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4 0
3 years ago
Read 2 more answers
Which formula can be used to describe the sequence?
statuscvo [17]
Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity.  If that is not what you are given, there is no answer.

Discussion
The  minus sign is misplaced. There are 2 reasons. 
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1

Answer: There is no answer, but you could try C if D does not work.

6 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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