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natima [27]
3 years ago
6

Why is the answer C? Plz explain

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0
Set the equations each to each other and solve for x
f(x) = g(x)
x^2 - 3x = 2x+14
x^2-3x-2x-14 = 0
x^2-5x-14 = 0 .... see note below
(x-7)(x+2) = 0
x-7 = 0 or x+2 = 0
x = 7 or x = -2
The two solutions are x = 7 or x = -2

note: we technically could stop at this line and divert to another path. Instead of finding the actual solutions, we can use the discriminant formula
d = b^2 - 4ac
to find the value of d. It turns out that
d = (-5)^2 - 4(1)(-14)
d = 81
which is a positive number. So that shows we have two solutions.
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ivanzaharov [21]

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Step-by-step explanation:

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Now, by similar triangles, h/r = h'/r'

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The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

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dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

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k = dV/dt - 6800 cm³/min

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5 0
3 years ago
(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!
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I hope this helps!
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