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3 years ago

I need urgent help with the question. Can someone please give full working out of the attached question

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

Answer:

2x-2

Step-by-step explanation:

Being specifically asked to rationalise the denominator we focus on it as required.

To rationalise a term it has to be multiplied by its inverse.

The inverse of

$\sqrt{x} - \sqrt{2 - x}$

$\sqrt{x} + \sqrt{2 - x}$

Multiplying this two vives us a difference of two squares

${( \sqrt{x} })^{2} - {( \sqrt{2 - x} )}^{2}$

which gives us

x-(2-x)

=2x-2

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Evaluate f(x) = sqrt(5x + 4) for x = 12

Nezavi [6.7K]

Answer is 8

Work Shown:

f(x) = sqrt(5*x + 4)

f(12) = sqrt(5*12 + 4) ... replace every x with 12

f(12) = sqrt(60 + 4)

f(12) = sqrt( 64 )

f(12) = 8

8 0

3 years ago

A bag contains 5 yellow marbles and 10 blue marbles. If a representative sample contains 2 yellow marbles, then how many blue m

Dmitry [639]

Answer:

There will be 4 blue marbles

Step-by-step explanation:

Yellow to blue marbles is in a ratio of:

5:10

the representative sample is:

2:x

simplee cross multiplication can be aplied

5x = 2*10

5x = 20

divide both sides by 5

x = 4

there should be four blue marbles

4 0

3 years ago

Read 2 more answers

What is the simplified expression for,

Nostrana [21]

Here are a few rules you need to know for this equation:

Multiplying exponents of the same base: $x^m\times x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Turning a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

So this is our algebraic expression: $\frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}$

Firstly, multiply 3^-4 and 3^2: $\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}$

Next, divide:

$\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}$

Next, turn the negative exponent into a positive one: $3^12^{-1}= \frac{3}{2}$

<u>Your final answer is 3/2, or 1.5.</u>

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3 years ago

Simon, 35, works for a company which offers a 4% match to his 401(k) plan. He previously invested $25,000 into an IRA. What woul

Paha777 [63]

Answer: answer

Step-by-step explanation:

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3 years ago

What is 60% out of 40?

Afina-wow [57]

Answer:

Step-by-step explanation:

Divide 40 by 10 and multiply your answer by 6

8 0

3 years ago