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vesna_86 [32]
3 years ago
11

Solve the inequality:(x+2)/(x^2-3x)>0​

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

The inequality is equivalent to x(x+2)(x−3)>0 , with the additional conditions that x≠0 and x≠3 .

Since x(x+2)(x−3) only changes signs when crossing −2 , 0 and 3 , from the fact that the evaluating the polynomial at 4 yields 24 , we see that the polynomial is

positive over (3,∞)

negative over (0,3)

positive over (−2,0)

negative over (−∞,−2)

Thus the solution set for your inequality is (−2,0)∪(3,∞) .

Step-by-step explanation:

hi Rakesh here is your answer :)

#shadow

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4 0
3 years ago
The cost of a pizza with the works" is represented as a function of its
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Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

C = d^2 – 2d + 447

where

C = cost of the pizza

d = diameter of the pizza

If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?

12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

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a = 1

b = -2

c = -435

d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

= 1 + 2(10.44) or d = 1 - 2(10.44)

= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

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Step-by-step explanation:

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nekit [7.7K]

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

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