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swat32
3 years ago
13

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) - 6 = 0?

Mathematics
1 answer:
viva [34]3 years ago
3 0
Answer:
The third option

Explanation:
The given expression is:
(x+2)² + 5(x+2) - 6 = 0

Let's check each of the given options:
1- Option A:
(u+2)² + 5(u+2) - 6 = 0
At u = x - 2, the expression would become:
(x-2+2)² + 5(x-2+2) - 6 = 0
x² + 5(x) - 6 = 0 ..........> This option is incorrect

2- Option B:
u² + 4 + 5u - 6 = 0
At u = x-2, the expression would become:
(x-2)²  + 5(x-2) - 2 = 0 ..........> This option is incorrect

3- Option C:
u² + 5u - 6 = 0
At u = x+2, the expression would become:
(x+2)² + 5(x+2) - 6 = 0 .........> This option is correct

4- Option D:
u² + u - 6 = 0
At u = x+2, the expression would become:
(x+2)² + (x+2) - 6 = 0 ..........> This option is incorrect

Hope this helps :)

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In how many ways can you choose 2 side dishes out of 8
Alina [70]
The first choice can be any one of the 8 side dishes.
               For each of these . . .
The 2nd choice can be any one of the remaining 7.

     Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .

BUT ...

That doesn't mean you can get 56 different sets of 2 side dishes.

For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A).  Either way, you wind up with (A and B).

So yes, there are 56 different 'WAYS' to choose 2 out of 8.
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4 0
3 years ago
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Dmitriy789 [7]
Our task here is to find possible factors of <span>x^2 + 27x + 162.
We need to check out possible factors of 162 first.  Examples are:
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7 0
3 years ago
The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

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Xelga [282]
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Answer:

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g(-1) = -5/-1 = 5

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g(g(-1)) = -1

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