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:
The range of students is 13.
Step-by-step explanation:
Take the largest number and subtract it from the smallest number. For example, 171 - 158 = 13 cm.
Answer:
v= s/t = sqrt(360^2+480^2) x 0.3048/0.5 = 365.76(m/s)
Step-by-step explanation:
s =sqrt(360^2+480^2)
s-ft-to-m = s*0.3048
t = 0.5
Molly got 20 because she did not follow the order of operations, so this is incorrect. Nancy got the correct answer because she multiplied 4 * 3, and then added 2, giving her 14. Molly added 3+2, and multiplied that by 4. Nancy is correct with 14.
The slope of x-y=8 is 1 because it's actually y = x-8
Parallel means the slope is equal to 1 as well.
