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Mice21 [21]
3 years ago
14

Determine the intervals on which the function is increasing, decreasing and constant

Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

  • increasing: (-∞, 0)
  • decreasing: (0, ∞)

Step-by-step explanation:

The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...

  increasing from -∞ to 0 (not including 0)

  decreasing from 0 to +∞ (not including 0)

_____

At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.

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ella [17]
The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem  h ^2 = H^2, so h= sqrt (H^2 -  r^2)
h =  sqrt (6.5^2 - 3.5^2) = 5.47
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Step-by-step explanation:

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Please help! The volume of an inflated spherical water balloon is 121,500 pi millimeters to the third. What is the radius of the
irga5000 [103]

Answer:

The radius of the inflated spherical balloon  is 45 millimeters.

Step-by-step explanation:

Volume of the spherical water balloon = 121,500 pi  cubic millimeters

Let the radius of the balloon = r

Now, Volume of a Sphere = \frac{4}{3} \pi r^{3}

⇒\frac{4}{3} \pi r^{3}  = 121,500 \pi

On solving for the value of r, we get:

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or, r  = 45 millimeter

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Answer:

3

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3 x 4 = 12

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