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cestrela7 [59]
3 years ago
11

Which of the following are solutions to | x + 4 |= 3x-5

Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

X= 9/2

X= 4.5

X= 4 1/2

Serhud [2]3 years ago
5 0

Answer: 9/2

Step-by-step explanation:

1.Break down the problem into these 2 equations.

x+4=3x−5

−(x+4)=3x−5

2. Solve the 1st equation: x+4=3x−5.

x=9/2

3. Solve the 2nd equation: −(x+4)=3x−5

x=1/4

4. Collect all solutions.

x=1/4,9/2

5. Check solution

When x=1/4​​, the original equation ∣x+4∣=3x−5 does not hold true.

We will drop x=1/4​​ from the solution set.

6. Therefore,

x=9/2

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vladimir1956 [14]

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

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Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

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8 0
2 years ago
Find the image of mc016-2.jpgDEF under the translation of (x, y) mc016-3.jpg (x + 7, y + 2).
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There you go.
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