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seraphim [82]
2 years ago
5

13. The sum of four consecutive odd integers is 216. Which equation can

Mathematics
1 answer:
icang [17]2 years ago
4 0

Answer:

D .X +(X+2)+(X+4)+(X+6)=216

The numbers are 51, 53, 55, 57 giving 216

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

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An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These
Vladimir79 [104]

Answer:

Between 1000 and 5000 snowboards will make the function AP(x) >0.

Step-by-step explanation:

Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.

In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.

P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

r_1,r_2 = \frac{-6 ^+_- \sqrt{6^2-4*(-1)*(-5)} }{2*(-1)} = \frac{-6^+_-\sqrt{16}}{-2} = \{1, 5\}

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:

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  • P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )

The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)

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3 years ago
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