Answer:
3/
8 is greater than 3/
12 because if you cross multiply 12 times 3 is 36 and 3 times 8 is 24
Step-by-step explanation:
Answer:
Option A is correct.
The domain of the g(x) is {x | x is a real number}
Step-by-step explanation:
The graph of the step function: g(x)=
Floor function is defined as the function that gives the highest integer less than or equal to x.
The graph of function: g(x)= where x is the independent variable as shown below;
Domain of any function is the complete set of possible values of the independent variable
Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.
Answer: I think it is b
Explanation:
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
_____
The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
_____
The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
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The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
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We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
Answer:
A
Step-by-step explanation:
we should first find the value of x.
