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3 years ago

Find the inverse d(w)=82.9d^3

Mathematics

1 answer:

Leokris [45]3 years ago

6 0

Answer:

d = 1.405

Step-by-step explanation:

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Help please?<br> I don't understand.

noname [10]

<h3>Given Equation:-</h3>

$\boxed{ \tt \frac{3}{x + 5} - \frac{2}{x - 3}}$

<h3>Step by step expansion:</h3>

$\dashrightarrow\sf\dfrac{3}{x + 5} - \dfrac{2}{x - 3}$

Write the equation

$\\ \\$

$\dashrightarrow\sf\dfrac{\frac{3 \times (x + 5)(x - 3)}{x + 5} - \frac{2 \times (x + 5)(x - 3)}{x - 3}}{(x + 5)(x - 3)}$

Take the lcm of the equation I.e (x + 5) (x + 3)

$\\ \\$

$\dashrightarrow\sf\dfrac{\frac{3 \times \cancel{(x + 5)}(x - 3)}{\cancel{x + 5}} - \frac{2 \times (x + 5)\cancel{(x - 3)}}{\cancel{x - 3}}}{(x + 5)(x - 3)}$

cancel like terms I.e (x + 5) with (x+ 5) and (x - 3) with (x - 3)

$\\ \\$

$\dashrightarrow\sf\dfrac{\frac{3 \times (x - 3)}{1} - \frac{2 \times (x + 5)}{1}}{(x + 5)(x - 3)}$

$\\ \\$

$\dashrightarrow\sf\dfrac{3 \times (x - 3)- 2 \times (x + 5)}{(x + 5)(x - 3)}$

Remove 1 as denominator

$\\ \\$

$\dashrightarrow\sf\dfrac{3x - 9- 2 (x + 5)}{(x + 5)(x - 3)}$

Multiply 3 with x - 9

$\\ \\$

$\dashrightarrow\sf\dfrac{3x - 9- 2 x - 10}{(x + 5)(x - 3)}$

Multiply - 2 with x + 5

$\\ \\$

$\dashrightarrow\sf\dfrac{3x - 2x- 9 - 10}{(x + 5)(x - 3)}$

Arrange the equation so that it would be easier to solve.

$\\ \\$

$\dashrightarrow\sf\dfrac{x- 9 - 10}{(x + 5)(x - 3)}$

Subtract 3x with 2x

$\\ \\$

$\dashrightarrow\bf\dfrac{x-19}{(x + 5)(x - 3)}$

Add -9 with - 10

$\\ \\$

$\therefore \underline {\textsf{\textbf{Option \red{one} is correct}}}$

4 0

2 years ago

Find the probability of rolling a seven first and then a four when a pair of dice is rolled twice

luda_lava [24]

Answer:

1/72

Step by step:

The probability of rolling a seven is 1/6 as there are 36 combinations you can roll on two dice, and six of them add up to 7. The probability of rolling a 4 is 1/12 as there are 3 ways to roll a 4. Multiplying these together you get 1/72.

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4 years ago

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A store pays $79 for a desk and marks the price up by 10%. What is the new price?

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The new price would be $86.9

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Graph the following features <br> Y-intercept = 2 <br> Slope = -2/5

algol [13]

Answer: