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Gekata [30.6K]
3 years ago
7

What is 3xto the 2 power =6x-3

Mathematics
1 answer:
ra1l [238]3 years ago
5 0
3x^2 = 6x-3 (I'm using the x^2 for x to the 2 power)

Subtract the 6x and add the 3 to both sides to get all terms to one side:
3x^2-6x+3=0

Factor out a 3:
3(x^2-2x+1)=0

Factor the quadratic:
3(x-1)(x-1)

Set x-1 equal to 0 and solve:
x-1=0
x=1

Answer:
x=1


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Step-by-step explanation:

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man
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Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

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3 years ago
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Step-by-step explanation:

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