3 years ago

The graph of f(x) is shown. Over which interval on the x-axis is there a megative rate of change in the function?

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

Answer: A

Step-by-step explanation:

A negative rate of change means the graph is decreasing. Translating these terms, the question is asking on which interval is the graph decreasing. You read a graph from left to right. When you look at -2 to -1, the graph is decreasing. It doesn't increase at all.

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hammer [34]

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3 years ago

Two people are 100 feet apart on opposite sides of a tree. The angles of elevation from the people to the top of the tree are 30

cricket20 [7]

We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)

sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44

Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22

The height of the tree is 29.22 feet.