Answer:
Keep the base the same and then subtract the exponents.
Step-by-step explanation:
According to one of the law of indices, for given values a, m and n;
a^m/a^n = a^(m-n)
The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.
Now given the expression
3^-6/3^-4
As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:
3^-6/3^-4 = 3^(-6-(-4))
= 3^(-6+4)
= 3^-2
= 1/3^2
= 1/9
II. f(x) doubles for each increase of 1 in the x values. Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes f(x) = a*2^x. Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.
Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)
Answer:
7 is A
Step-by-step explanation:
Answer:
x(6 + 15y)
Step-by-step explanation:
In this instance, you can divide by a factor of x.
6x/x = 6
15xy/x = 15y
Therefore, we are left with 6 + 15y.
Answer:
$46,000
Step-by-step explanation:
We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).
So here's what we get
$60,000 - $3,000 - $5,000 - $6,000 = $46,000
<em>P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!</em>
