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ella [17]
3 years ago
5

Over which interval is the graph of f(x)= -x^+3x+8 increasing ?

Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

It is increasing  in the interval (-∞, 3/2).

Step-by-step explanation:

y = -x^2 + 3x + 8

The derivative is:

dy/dx = -2x + 3

This is the slope of tangent  to the curve  so when  f(x) is increasing

-2x + 3 > 0

-2x > - 3

x < 3/2

So it is increasing  in the interval (-∞, 3/2)

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An atlas contains a map of Ohio. The table shows data from the key on the map.
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Answer:

The answer is below

Step-by-step explanation:

a) The graph is attached

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A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

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The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.

c) y = 2.5x

put x = 48 mm

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The distance on map between Cincinnati and Cleveland is about 90 mm.

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