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Lady_Fox [76]
1 year ago
9

Simplify a^2-3a2 a^3-8a^2+12a to lowest terms

Mathematics
1 answer:
inn [45]1 year ago
6 0

Answer:

\frac{a-3}{(a-2)(a-6)}

Step-by-step explanation:

a^{2}-3a has the common multiple of a. If you factor it out, you get a(a-3).

a^3-8a^2+12a also has a common multiple of a. Once factored, you get a(a^2-8a+12). This equation can be further factored to get (a-2)(a-6).

Put these two expressions over one another and you get  \frac{a-3}{(a-2)(a-6)}.

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At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

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2 years ago
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Use the graphing calculator to find the solution(s) of x2-2x-x 5 to the nearest tenth.
alexandr402 [8]

Answer:

-1.4 and 3.4

Step-by-step explanation:

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What is a number less than 130 that rounds to 130 when rounding to the nearest ten
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Answer:

129.99

Step-by-step explanation:

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