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:
Step-by-step explanation:
Answer:
D. 10
Step-by-step explanation:
To find the slope of the equation, we first need to put the equation into slope-intercept form:
y=mx+b
So first, we need to get y by itself.
10x-y=2
Subtract 10x from both sides.
-y=-10x+2
Then, divide -1 on both sides.
y=10x-2
Slope=10
First box should be: 2 bc of the second statement
second box (top right): 5 bc 12 students total, subtract from rest (u do this last)
third box: 1 bc all that’s leftover from first box
fourth box (bottom right) 5 bc of third statement
basically, for two way tables each box must apply/be applied to two topics. hope this helps
Answer: 11.42
Step-by-step explanation: Pythagorean Theorem