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Vanyuwa [196]
3 years ago
11

100 POINTS!!!!

Mathematics
1 answer:
user100 [1]3 years ago
6 0

The area of whole backyard:

a = 3x - 5

b = 4x - 10

a · b = (3x - 5) · (4x - 10) = 3x · 4x + 3x · (-10) - 5 · 4x - 5 · (-10) =

= 12x² - 30x - 20x + 50 = 12x² - 50x + 50

The area of swimming pool with patio:

a = x + 8

b = x - 2

a · b = (x + 8) · (x - 2) = x · x + x · (-2) + 8 · x + 8 · (-2) =

= x² - 2x + 8x - 16 = x² + 6x - 16

Then the area of the region they want ot cover with new grass is:

12x² - 50x + 50 - (x² + 6x - 16) = 12x² - 50x + 50 - x² - 6x + 16 =

= 11x² - 56x + 66

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What is the solution to 3 + 4e^x+1 = 11?

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