These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
Answer:
5 : the number is divisible by 5 because the divider ends with a 5
3: the number is divisible by 3 because the sum of all the digits of the divider are visible by 3.
1/2 * 2/3 *3/4 * ... * 1999/2000
Observe, every numerator cancels with denominator
that leaves 1/2000
Answer:
3.6 miles
Step-by-step explanation:
For a trip of x miles, there are x-0.5 miles of it that are "additional", which makes (x-0.5)/0.1 additional tenths.
Then the charges (in dollars) are ...
... 3.50 + 0.30(x -0.5)/0.1
Adding a tip of $2 and requiring the total be less than $15 gives ...
... 3.50 + 0.30(x -0.5) + 2.00 ≤ 15.00
... 5.50 + 3(x - 0.5) ≤ 15.00 . . . . simplify a bit
... 4.00 +3x ≤ 15.00 . . . . . . . . . . simplify more
... 3x ≤ 11.00 . . . . . . subtract 4.00
... x ≤ 3.667 . . . . . . divide by 3
Miles are measured in tenths. We cannot go 3.7 miles on $15, but we can go 3.6 miles.
Answer:
The answer is a= 5
Step-by-step explanation:
hope this helps
