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3 years ago

Solve for x -1= √2x-3

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

x=1.414213

Step-by-step explanation:

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

3 years ago

PLEASE HELP MATH

Juliette [100K]

Answer:

Step-by-step explanation:

6 0

3 years ago

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Simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)

s2008m [1.1K]

Answer:

$\huge \boxed{\mathrm{-1}}$

Step-by-step explanation:

$(5xe^2 - 3x) - (5xe^2 - 3x+1)$

Distribute negative sign.

$5xe^2 - 3x- 5xe^2 +3x-1$

Combine like terms.

$0xe^2 +0x-1$

$0-1=-1$

8 0

3 years ago

Omg please help for brainlist !!!!!!!!!!!!!!!

LiRa [457]

Answer:

Step-by-step explanation:

8000*0.25=2000

2000*0.25=500

500*0.25=125

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5 0

3 years ago

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Oliver climbed 222 meters of a steep mountain reach the summit. He then rappelled down the other side of the mountain to return

nikdorinn [45]

B -222

Because he fell/descended 222 meters. And falling or going down produces a negative integer. Also, if you were actually doing the math to try to find where Oliver is currently located, you wouldn't add 222, or 0, or subtract -444. You would subtract 222.

In addition, be aware that the question is asking you an integer to represent a situation, not the answer of where Oliver is.

6 0

3 years ago