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!
Money offered to Michelle per annum in Job A = $1700
Number of years she will work in job A = 5
Percentage of earnings per annum for her retirement plan = 6.60%
Money she will earn will be the simple interest at the end of 5 years.
We know that :
Principal = $1700
Rate = 6.60%
Time = 5 years
Which means :
We also know that :
Amount Michelle will earn at the end of 5 years for her retirement plan :
2261 can be rounded off to 2260.
Therefore, Michelle will earn <u>$2260</u> at the end of 5 years for her retirement plan.
Answer:
The product of 4 times the quantity x to the fifth power
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
Answer:
y=x+5
Step-by-step explanation:
if y is the total cost then the equation y = x +5 where x is the miles driven and $5 is the initial cost would accurately represent the cost of your cab ride.
