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pochemuha
3 years ago
5

MaryJo decided to solve the equation 3x-2= -x-6 by entering each of the expressions into her graphing calculator. To solve the e

quation as a system, she entered y1= 3x-2 and y2= -x-6. When she used the calculator to find the intersection, she found x= -1 and y= -5. Show the work to check to see if MaryJo found the correct solution for x to the linear equation.
Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
Note that the problem states that you only need to check the solution she got for x...so we don't have to worry about y in this case. (YAY)

To verify MaryJo's answer, simply solve the equation for x:

3x - 2 = -x - 6
3x (+ x) - 2 = -x (+ x) - 6
4x - 2 = -6
4x - 2 (+ 2) = -6 (+ 2)
4x = -4
4x/4 = -4/4
x = -1

Since this conforms to MaryJo's answer, she did indeed find the correct solution for x.

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3 years ago
Carl collects coins compulsively, but he only likes quarters ($0.25) and dimes ($0.10). Carl currently has 125 coins for a total
Bogdan [553]

Answer:

Carl has 35 dimes and 90 quarters

Step-by-step explanation:

Let the number of quarters be q and the number of dimes be d

Total number of coins is 125;

Hence;

q + d = 125 •••••••••(i)

The total value of quarters present = q * 0.25 = 0.25q

The total value of dimes present = d * 0.1 = 0.1d

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0.25(125-d) + 0.1d = 26

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3 years ago
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Step-by-step explanation:

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Read 2 more answers
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height, h = 4 cm

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