How do I describe the real zeroes of this function using Descartes's Rule of Signs?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0

negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0

y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
1 2 3

3 or 1 positive roots

replace x with -x ( baically flip all signs of odd powerd numbers)

y=-2x⁵-x⁴+2x³+4x²-x-2
-,-,+,+,-,-
1 2

2 or 0 negative roots

3 or 1 positive roots
2 or 0 negative roots
2nd option is answer

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The price (in dollars) p and the quantity demanded q are related by the equation: p^2+2q^2=1100.If R is revenue, dR/dt can be ex

bagirrra123 [75]

FOR THE FIRST PROBLEM:

Differentiating p^2 + 2q^2 = 1100 with respect to time => 2p(dp/dt) + 4q(dq/dt) = 0

dp/dt = -2q/p(dq/dt) 

R = pq 

dR/dt = p(dq/dt) + q(dp/dt) = -p²/2q(dp/dt) + q(dp/dt) = (2q² - 1100)/2q * (dp/dt) + q(dp/dt) 

A = (2q - 550/q)

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3 0

2 years ago

What best describes the distance between two points with coordinates (2,-3) and (-4,2)

Fed [463]

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be: