3 years ago

What is (4x-2)•6(2x+7) in standard form

1 answer:

4 0

  y = 12(2x - 1)(2x + 7)
  y = 12(2x(2x + 7) - 1(2x + 7))
  y =12(2x(2x) + 2x(7) - 1(2x) - 1(7))
  y = 12(4x² + 14x - 2x - 7)
  y = 12(4x² + 12x - 7)
y = 12(4x²) + 12(12x) - 12(7)
y = 48x² + 144x - 84
-48x² - 144x + y = -84
-1(-48x² - 144x + y) = -1(-84)
-1(-48x²) + 1(144x) - 1(y) = 84
48x² + 144x - y = 84

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Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars)

S_A_V [24]

Revenue: R(x) = 100x
Profit: P(x)= 3100 + 9x + 0.1x2 (0 ≤ x ≤ 500)

equalize the two equations
100x=3100 + 9x + 0.1x2

0.1x2-91x+3100=0
using graphic tools
x1=35.447----35
x2=874
the domain is (0 ≤ x ≤ 500)

the value from which there are profits is 35 pairs of cleats

Revenue: R(x) = 100x --------100*35=$3500
Profit: P(x)= 3100 + 9x + 0.1x2 -------3100+9*35+0.1*(35)2=$3537.5
Profit > Revenue up to the amount of 35 pairs of cleats