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Ber [7]
2 years ago
15

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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Choose the correct description of the graph of the inequality x - 3 >= 5.
lions [1.4K]

The <em><u>correct answer</u></em> is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.

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3 years ago
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Answer this question please; number 5... show all work thank you
My name is Ann [436]

Answer:

rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour

Step-by-step explanation:

We will make a table of the trip there and back using the formula distance = rate x time

                 d              =            r       x       t

there

back

The distance there and back is 264 miles, so we can split that in half and put each half under d:

               d            =         r        x        t

there    132

back     132

It tells us that the trip there is with the wind and the trip back is against the wind:

           

              d           =        r         x        t

there     132        =    (r + w)

back      132       =     (r - w)

Finally, the trip there took 3 hours and the trip back took 6:

           

             d         =        r        *        t

there    132     =    (r + w)     *       3

back     132     =    (r - w)      *       6

There's the table.  Using the distance formula we have 2 equations that result from that info:

132 = 3(r + w)        and        132 = 6(r - w)

We are looking to solve for both r and w.  We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:

132 = 3r + 3w and

132 - 3w = 3r so

44 - w = r.  Subbing that into the second equation:

132 = 6(44 - w) - 6w and

132 = 264 - 6w - 6w and

-132 = -12w so

w = 11

Subbing w in to solve for r:

132 = 3r + 3(11) and

132 = 3r + 33 so

99 = 3r and

r = 33

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Answer:

X is greater than or equal to 15

Step-by-step explanation:

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It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A
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