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yuradex [85]
3 years ago
10

The area of a rectangle is represented by x^2 - 5x - 14. what are the dimensions?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

A = x² - 5x - 14

Factor using AC method.  Here, a = 1, b = -5, and c = -14.

ac = 1×-14 = -14

Factors of -14 that add up to -5 are -7 and 2.

A = (x - 7)(x + 2)

So the dimensions are x-7 and x+2.

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Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
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Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
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x = 3200 - y
Now we will put the value of x in the equation
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2(3200 - y) + 3y = 8260
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y = 8260 - 6400
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Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
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So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
5 0
3 years ago
Two x subtracted by eight<br> 2x + 8
tatiyna

Answer:

(2x-8)(2x+8)

4x squared -64 is the answer

how you get it is by multiplying 2x times 2x to get 4x squared and -8 times 8 =    -64

hope this helps

if this is algebra 1 then this is right

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