Give a counterexample for the following

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Answers: the answer is 1

Step-by-step explanation: 2+2=4

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The fourth grade class at hart school is having a Valentine’s Day party. Each student will receive an 8-oz.cup of juice. If ther

avanturin [10]

Answer:

6 bottles of juice

Step-by-step explanation:

1. find the total amount of juice needed (number of students multiplied by the amount of juice): 48*8 = 384

2. find the number of bottles needed (total amount of juice divided by amount in each bottle): 384/64 = 6

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3 years ago

Is 9/15 irrational??

Mariana [72]

No because irrational cant be a simple fraction and 9/15

is 0.6

so... it is not irrational

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2 years ago

Read 2 more answers

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

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