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tigry1 [53]
3 years ago
13

Write an equation, in slope-intercept form, that passes through the point (−4, −3) and has a slope of 3.

Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0

Answer:

Step-by-step explanation:

eq of a line through (x1,y1) and slope m is

y-y1=m(x-x11)

y+3=3(x+4)

y+3=3x+12

y=3x+12-3

y=3x+9

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A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and top, and a volume of 44 cm3.
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Answer:

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-> materials has a square base of side length, dimension will be: x . x = x²

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->dimensions of the nickel plated top= x²

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Cost of the top and the bottom will be  (2 * x² * $1)

For the Total cost: 12xy + 2x²

substituting value of 'y' in above equation,

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To Minimum critical point => d [cost] / dx = 0

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132/x² - x =0

132 - x³ = 0

x³ = 132

Taking cube root on both sides

∛x³ = ∛(132)

x= 5.09

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Dimensions of the box :

Base= 5.09 cm x 5.09 cm; height = 1.69 cm

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