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kow [346]
3 years ago
5

How can one third x − 2 = one fourth x + 11 be set up as a system of equations?

Mathematics
2 answers:
timurjin [86]3 years ago
4 0

Answer: (x-2) = (x+11)

------- -------

3 4

Step-by-step explanation:

First part is x-2 divided by on third. So the x-2 acts a the 1 so you put x-2 over 3. And you get:

(x-2)

--------

3

For the other side of the equation it is x +11 divide by 1/4. So the x+11 will act a the 1 in the fraction. And you will get:

(x+11)

--------

4

UNO [17]3 years ago
3 0

For this case we have the following expression:

\frac {1} {3} (x-2) = \frac {1} {4} (x + 11)

So, we have two equations of the form:y = \frac {1} {3} (x-2)\\y = \frac {1} {4} (x + 11)

Rewriting equation 1:

y = \frac {1} {3} (x-2)\\3y = x-2\\3y-x = -2

If we multiply by 3 on both sides of the equation we have:

9y-3x = -6

Rewriting equation 2:

y = \frac {1} {4} (x + 11)\\4y = x + 11\\4y-x = 11

If we multiply by 4 on both sides of the equation:

16y-4x = 44

Answer:

9y-3x = -6\\16y-4x = 44

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adelina 88 [10]

Answer:

reflection

Step-by-step explanation:

mirror= reflection

7 0
3 years ago
The function f(x) = 4x + 5 has domain 0sxs 50. What is its range?<br> The range of the function is
MrMuchimi

9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

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The range is 5 ≤ f(x) ≤ 205.

7 0
3 years ago
Add the expressions four -2/3 B +1/4 a and 1/2 a+1/6b-7. What is the simplified some?
anzhelika [568]

Answer:

I tried the question and I got. a/4-b/2-5/2

Step-by-step explanation:

I hope this helps

3 0
3 years ago
You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W
3241004551 [841]
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be  area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.
6 0
3 years ago
Help me plz and show work &lt;3
icang [17]

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

here's your solution

=> 7y + 2x = 5

=> 7y = 5 - 2x

=> y = (5-2x)/7

\huge\mathfrak\red{hope \: it \: helps...}

4 0
3 years ago
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