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2 years ago

Simplify ((c∧6)÷(c-d))-3

Mathematics

1 answer:

Vlad [161]2 years ago

8 0

9514 1404 393

Answer:

(c^3-3c^2d+3cd^2-d^3)/c^18

Step-by-step explanation:

It appears you want to simplify ...

$\left(\dfrac{c^6}{c-d}\right)^{-3}=\left(\dfrac{c-d}{c^6}\right)^3=\boxed{\dfrac{c^3-3c^2d+3cd^2-d^3}{c^{18}}}$

The relevant rule for exponents is ...

a^-b = 1/a^b

The coefficients of the expansion of the binomial are found in Pascal's triangle.

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A new car is purchased for 17000 dollars. The value of the car depreciates at 12.25% per year. What will the value of the car be

Scilla [17]

Answer:

$P(t=14) = 17000 (1-0.1225)^{14}= 2728.404$

Step-by-step explanation:

for this case we have the following model for the cost of the car:

$P(t) = P_o (1-r)^t$

Where $P_o$ is the initial amount on this case 17000, t the amount of years after the initial year and r the depreciation rate on this case:

$r= \frac{12.25}{100}=0.1225$

And for t =14 we can replace into the equation and we got:

$P(t=14) = 17000 (1-0.1225)^{14}= 2728.404$

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3 years ago

Find the area of the shaded region.

Sindrei [870]

Answer:

5x^2+28x+21

Step-by-step explanation:

First you want to find the area of the white rectangle
Then find the area of the beings rectangle
Then subtract beings minus white.

Hope it answers your question:)

5 0

2 years ago

Paralell to y=4x-6 through (12,10)

stiks02 [169]

<u>ANSWER</u>

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

<u>EXPLANATION</u>

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

$y=mx+c$ ,this line has slope $m=2$ .

Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

$y=4x-6$

We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

$\Rightarrow -14=b$

We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

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2 years ago

A metrologist used the expression below to describe how the temperature changed. -5+(-4)

tia_tia [17]

Answer:

-9

Step-by-step explanation:

i used a calculater soya your welcome

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3 years ago

I need help please please please please

DIA [1.3K]

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3 years ago