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Mademuasel [1]
2 years ago
12

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
RSB [31]2 years ago
5 0

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>

<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

\mathbf{a^2 = 2^2}

\mathbf{a^2 = 4}

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

\mathbf{if\ a^2 = 4,\ then\ a \ne 2}

An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

\mathbf{a = -2}

Hence, the complete statement could be:

<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

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I'm learning about Equivalent systems of equations, please help!
kobusy [5.1K]
OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
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-2x=10-5y
x= \frac{10-5y}{-2}
Substitute x into the next equation and solve for y
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(multiply both sides by 2)
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Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)


GOKU
x-3y=-2
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Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
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y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
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One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
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x=-(16-14(4))/5
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SELINA'S ANSWER
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So neither Goku or Selina got the same answer as the teacher
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