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3 years ago

If x+1/x = 2 then x^3 + 1/x^3

Mathematics

2 answers:

son4ous [18]3 years ago

8 0

Answer:

Let p (x) = x + 1 / x = 2

= x + 1 = 2x

= 2x - x = 1

or, x = 1.

let g(x) = x^3 + 1/x^3

since, x = 1

therefore,

g (1) = (1)^3 +1 / (1)^3

= 1 + 1 / 1

= 2 / 1

= 2

So, the answer to your question is 2.

LuckyWell [14K]3 years ago

3 0

x + 1 / x = 2

x × ( x + 1 / x ) = x × 2

x + 1 = 2x

x - x + 1 = 2x - x

x = 1

_________________________________

x^3 + 1 / x^3 =

1^3 + 1 / 1^3 =

1 + 1 / 1 =

2 / 1 =

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Which fraction is equivalent to <br> 1/3

Umnica [9.8K]

Answer:

there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81

Hope that helps!

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to RootIndex 3 StartRoot StartFraction 75 a Superscript 7 Baseline b Superscript 4 Baseline Over

slega [8]

Answer:

B. $\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\sqrt[3]{\frac{75a^7b^4}{40a^{13}c^9}}$

Use the exponent property $\frac{a^m}{a^n}=a^{m-n}$

$\frac{a^7}{a^{13}}=a^{7-13}=a^{-6}$

Use the exponent property $(a^m)^n=a^{m\times n}$

$a^{-6}=a^{-2\times 3}=(a^{-2})^3$

$b^4=b\times b^3\\c^{9}=(c^3)^3$

Reducing $\frac{75}{40}$ to simplest form, we get:

$\frac{5\times 5\times 3}{2^3\times 5}=\frac{15}{2^3}$

Therefore, expression becomes:

$\sqrt[3]{\frac{15(a^{-2})^3\times b\times b^3}{2^3(c^3)^3}}$

Use the cubic root property:

$\sqrt[3]{x^3} =x$ . Thus, the expression becomes:

$\frac{a^{-2}b}{2c^3}\sqrt[3]{15b}$

Using the exponent property $a^{-m}=\frac{1}{a^m}$

$a^{-2}=\frac{1}{a^2}$

So, the final expression is:

$\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Therefore, the correct option is option B.

7 0

4 years ago

Order these fractions from least to greatest 3/8, 2/3, 4/5

Ivan

Make all the denominators equal
3/8 = 45/120
2/3 = 80/120
4/5 = 96/120
From least to greatest we have,
3/8, 2/3, 4/5

6 0

3 years ago

Question 10 options:

pshichka [43]

Answer:

Density = 9 dolphins / mi^2 This is the result.

Step-by-step explanation:

Number of dolphins = 175

Radius = 2.5 mi

1. - Calculate the area

Area = pi* r^2

Area = 3.14*2.5^2

Area = 3.14*6.25

Area = 19.625 mi^2

2. - Calculate the density

density = dolphins/mi^2

- Substitution

density = 175 / 19.625

Result

density = 8.9 dolphins/mi^2

Rounding to the nearest whole number

Density = 9 dolphins / mi^2

4 0

3 years ago

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Simplify without the absolute value<br> |x+3| ; if x=2

Alja [10]

ANSWER

EXPLANATION

We want to simplify:

$|x + 3|$

when x=2.

We substitute x=2 into the absolute value expression to obtain:

$|2 + 3| = |5|$

The about value of 5 means what is the distance of 5 from zero on the real number line.

$|2 + 3| = |5| = 5$

4 0

4 years ago

Read 2 more answers