Answer:
D). -5(x + 2)^2 - 2.
Step-by-step explanation:
Parabola which Opens down and vertex (-2, -2) is :
f(x) = a(x + 2)^2 - 2 where a is negative
Stretch by factor 5 gives:
-5(x + 2)^2 - 2.
Step-by-step explanation:
8 is more than 2/4 because the answer of 2/4 is 0.5 so 8 is more than 2/4
p.s. Excuse the scribble.
Step-by-step explanation:
This is a piece-wise function. The three intervals we need to worry about are [0, 1), [1,2], and [2,4].
Separate the functions into their pieces and draw out the individual graphs. Place them together onto the graph within their respective intervals.
When an spherical balloon volume is increasing at the rate of
then the diameter of the balloon is increasing 
How can we find the rate of change of balloon's diameter ?
The volume of a spherical balloon is 
In form of diameter we can write as

Now we will differentiate both sides wrt to
we get

Given in the question 
thus when we substitute the values we get

Learn more about the differentiation here:
brainly.com/question/28046488
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9514 1404 393
Answer:
Step-by-step explanation:
The side length of a square is 1/4 of the perimeter, so the side length of the square orchard is (1600 m)/4 = 400 m.
The area of a square is the square of the side length, so the area of the orchard is (400 m)² = 160,000 m².
A hectare is 10,000 m², so the area of the orchard in hectares is ...
16·(10,000 m²) = 16 ha