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mariarad [96]
3 years ago
6

X+2y=4 -x-2y=-4the solutions ​

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

subtract equations to form the equation of:

2x + 2y = 8

rearrange first equation to make x the subject:

x = 4 - 2y

subsitute into 2x + 2y = 8

2 (4 - 2y) + 2y = 8

8 - 4y + 2y = 8

collect like terns

-2y + 8 = 8

8s cancel out

-2y = 0

divide by -2

<u>y</u><u> </u><u>=</u><u> </u><u>0</u>

substitute y value into x + 2y = 4

x + 2 (0) = 4

solve for x

x + 0 = 4

<u>x</u><u> </u><u>=</u><u> </u><u>4</u>

therefore, the solutions are:

<h3><u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>4</u></h3><h3><u>y</u><u> </u><u>=</u><u> </u><u>0</u></h3>

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Answer: 2x -5

Step-by-step explanation:

Hi, to answer this question we have to write equations with the information given:

  • <em>John has × marbles  </em>

John=x

  • <em>Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles. </em>

We have to multiply by 2 the number of marbles that John has (x), and subtract 5.  

Max = 2x -5

Feel free to ask for more if needed or if you did not understand something.  

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3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8? f(x)=2x−1/3x+5 Enter your answer, as a frac
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Answer:

15 2/3, or 47/3


Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

                130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                     8 - 0                  8

3 0
3 years ago
195÷1.5=(195∙10)÷(1.5∙10)=
solong [7]

Answer:

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Step-by-step explanation:

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igor_vitrenko [27]
Darryl:
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Equation:
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Answer:
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Equation:
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Thus $532-$405= $127 more in Lori's account
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Answer:

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Step-by-step explanation:

So, divide 200 by 4

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