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!
I think you want to prove that a rectangle is a quadrilateral. You can prove this with definitions. The definition of a quadrilateral is that it is a shape with four sides. Since a rectangle has four sides, that proves that a rectangle is a quadrilateral.
Answer:
1. 8
2. 11
3. 14
4. 17
Step-by-step explanation:
When there is a number next to a number inside parenthesis, it means you multiply those together. Don't forget to use PEMDAS either. So you first multiply 3(and whatever number is inside) and then add 5. Hope this helped :)
Answer:
y = x + 7
Step-by-step explanation:
x = number of weeks
y = the total number of quizzes y.
<em>Cole has already taken 7 quizzes = </em>+ 7
<em>he expects to have 1 quiz during each week of this quarter = </em>1x
y = 1x + 7
y = x + 7
Answer:
0.0111 grams with the one repeating
Step-by-step explanation:
