Which of the following expressions is completely simplified?

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

What are the answer choices??

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The Mathis middle school basketball team is organizing a field trip to a Georgia Tech basketball game. The stadium charges a fla

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3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

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4 years ago

Find the exact length of the third side.<br> 40<br> 9

Nutka1998 [239]

Answer:

Step-by-step explanation:

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3 years ago

Can y’all pls help with number 6

barxatty [35]

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3 years ago

Faith is working two summer jobs, making $13 per hour lifeguarding and $12 per hour washing cars. Last week Faith worked a total

san4es73 [151]

Answer:

Step-by-step explanation:

Let's call lifeguarding L and car washing W. In order to write a system, we need to first separate the NUMBER of hours worked from the MONEY earned, because they are very different things.

If she works 10 hours, that is the number of hours worked between both jobs. Therefore, the equation for the NUMBER of hours worked is

L + W = 10.

If she earns $13 an hour lifeguarding, the expression for that is 13L; if she earns $12 an hour car washing, the expression for that is 12W. The MONEY she earned together by doing both those jobs is

13L + 12W = 124

There you go!

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3 years ago