For the answer to the question above, your end goal is to have $6,000 total in 12 months. since you have $2400 already you can subtract that from 6,000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600, you would have to put an additional 150 in your savings along with your regular 150 making Letter B the answer.
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:
(a)
(b)
(c)
Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
<u>Equation 1</u>
<u />
<u />
Multiply both sides by 9
Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is:
<u>Equation 2</u>
<u /><u />
Multiply both sides by 21
Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is:
<u>Equation 3</u>
<u /><u />
Multiply both sides by 6
Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is:
Answer: 190
Step-by-step explanation:
30x6=180+10=190
The answer is <span>y=0.5x+3
</span><span>There are 3 inches of snow on the ground: y = 3
</span><span>When it begins to snow 0.5 inches per hour: y = 0.5x
</span>There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour: y = 0.5x + 3<span>
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