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marta [7]
3 years ago
12

Solve each quadratic equation. a) 2(x + 5) (2x - 3) = 0

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

{4x}^{2}  + 14x - 30 \\

Step-by-step explanation:

2(x + 5)(2x - 3)\\ (2x + 10)(2x - 3)\\ 2x(2x - 3) + 10(2x - 3)\\ 4 {x}^{2}  - 6x + 20x - 30\\  {4x}^{2}  + 14x - 30\\

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Answer:

A:  W = 8x

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Step-by-step explanation:

A:  Lana can make $8 an hour.

W = 8x

B:  She makes $12 per hour for every hour of overtime.  This means that she already worked 40 hours with regular pay.  She has already made $320.

40 × $8 = $320

S = 12y + 320

C:  Plug in the amount Lana earned into the second equation.  The second equation will account for pay from both regular and overtime hours.

S = 12y + 320

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368 - 320 = (12y + 320) - 320

48 = 12y

48/12 = (12y)/12

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y = 4

Lana worked 4 hours of overtime and 40 hours of regular hours.  In total, she worked 44 hours.

4 + 40 = 44

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