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abruzzese [7]
3 years ago
5

40 pounds of dog food cost $50 how much would 35 pounds of dog food cost

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
50:40=x:35
5/4=x/35
times both sides by (4*35)
5*35=4x
175=4x
divide both sides by 4
43.75=x

costs $43.75
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Step-by-step explanation:

Given the functions:

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we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

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Using quadratic formula:

x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}

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x_1 = -1.445

x_2 = \frac{-36 - 33.11}{2}

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As b=8/5 is bigger than 1.

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