Simplify the algebraic expression (5.3X+8.2Y) + (13.3y+4.1x)
2 answers:
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Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
In other words, the range is all positive real numbers.
Thus,
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
We can choose the first digit in any of 9 ways, 1,2,3,4,5,6,7,9 or 9 .
We can then choose the second digit in any of the 9 ways, 0 or any of 8 ways not chosen for the first digit.
We can then choose the third digit in any of the 9 ways, other than the second digit.
We can choose the fourth digit in any of the 9 ways, other than the third digit.
And we can choose the fifth digit in any of the 9 ways, other than fourth digit.
Hence number of ways = 9*9*9*9*9 =
So, total number of five digit numbers which don't have consecutive digits same is 59049.