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4 years ago

10

The number of customers for a new online business can be modeled by y = 8x2 + 100x + 250, where x represents the number of month

s since the business started. Which is the best prediction for the number of customers in month 20?

1 answer:

kenny6666 [7]4 years ago

3 0

The best prediction for the number of customers is 5450.

To find this value, you just need to plug in 20 for x into the expression. Then, evaluate it using the order of operations.

8(20)^2 + 100(20) + 250
8(400) + 100(20) + 250
3200 + 2000 + 250
5450

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Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

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The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

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Answer: two points: $P_1\left(-\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right), P_2\left(\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right).$

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