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sp2606 [1]
4 years ago
15

How do i convert 91/10 to a mixed number

Mathematics
1 answer:
geniusboy [140]4 years ago
7 0
The fraction 91/10 is equivalent1 to 9 1/10.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (91) is greater than the absolute value of the bottom number or denomintor (10). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (9) and proper fraction (1/10).
<span>The fraction 91/10 is equal to 91÷10 and can also be expressed in decimal form as 9.1.</span>
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Radical functions. please help me!
Sphinxa [80]
These are 8 questions and 8 answers:

1) Quesion 1:

 9+√2
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 4 - √7

Answer: the third option:

36 + 9√7 + 4√2 + √14
-----------------------------
               9

Explanation:

Multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of 4 - √7 = 4 + √7

=>

\frac{9+ \sqrt{2} }{4- \sqrt{7} } . \frac{4+ \sqrt{7} }{4+ \sqrt{7} } =  \frac{(9)(4)+9 \sqrt{7}+4 \sqrt{2} + \sqrt{2} . \sqrt{7}  }{(4)^2-( \sqrt{7})^2 } =

= \frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{16-7}

2) Question 2: sum

5x (\sqrt[3]{x^2y})+2( \sqrt[3]{x^5y})

Answer: fourth option

7x( \sqrt[3]{x^2y} )

Explanation:

Take x^5 out of the second radical which will result in a like term of the first radical:

5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})

which is the fourth option

3) Question 3. Which expression is equivalent to:

\frac{ \sqrt{10} }{ \sqrt[4]{8} }

Answer: the first option

Explanation

\frac{ \sqrt{10} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{10^2} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{100} }{ \sqrt[4]{8} } .  \frac{ \sqrt[4]{8^3} }{ \sqrt[4]{8^3} }  = \frac{ \sqrt[4]{(100)(512)} }{8} = \frac{ \sqrt[4]{51200} }{8} = \frac{4 \sqrt[4]{200} }{8} = \frac{ \sqrt[4]{200} }{2}

4) Question 4 What is the simplest form?

Answer: the second option

Explanation:

\sqrt[4]{81x^8y^5}=x^2 y\sqrt[4]{3^4y}  =3x^2y \sqrt[4]{y}

5) Question 5 Product

Answer: the fourth option:

104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=

=16x^2(5x^2)+16x^4( \sqrt{30} )+4x^4(6)=80x^4+16x^4  \sqrt{30} +24x^4=

=104x^4+16x^4 \sqrt{30}

which is the fourth option.

6) Question 6 Product

Answer: fourth option

Explanation:

\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} =  \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}

which is the fourth option.

7) Question 7. Simplified form of 2√18 + 3√2 + √162

Answer: 18√2

Explanation:

2 \sqrt{18}+3 \sqrt{2} + \sqrt{162}=2(3) \sqrt{2}  + 3 \sqrt{2} +9 \sqrt{2} =18 \sqrt{2}

which is the second option.

8) Question 8 which function is undefined for x = 0.

Answer: second option y = √ (x - 2)

Explanation.

The square root function is not defined for negative values.

When x = 0, x - 2 = -2, whose square root is not defined.

Therefore, the square root of x - 2 is not defined for x = 0.
5 0
3 years ago
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