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Irina18 [472]
2 years ago
14

Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre

's first step was -x+6=-8. The result of Diego's first step was 6=x−8.
Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
3 0

Answer:

  • Andre subtracted 3x from both sides
  • Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

__

<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

_____

<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

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6 0
3 years ago
What is the equation of the axis of symmetry for the parabola​
ozzi

Answer:

x=3

Step-by-step explanation:

axis of symmetry always pass through X coordinate of vertex.

here vertex is (h,k)= (3,5)

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6 0
2 years ago
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(31 x 15) + (108 divided by 6)=
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4 0
2 years ago
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A person places $37700 in an investment account earning an annual rate of 5%,
lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

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Substitute into the formula

A = 37700(1+0.05)^16

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4 0
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So option a is correct.
3 0
3 years ago
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