PLEASEEEEEE HELP ME WITH THIS ONE PLEASE AND THANK YOU

Mathematics

1 answer:

ella [17]3 years ago

6 0

Angle 4 is 108 because it is vertical to angle 2 so they are equal, angle 1 is 72 because it is a straight angle to angle 4 (or 2) which means when the angles are added together, they equal 180, and then angle 3 would also be 72 because it is also a straight angle with angle 4 (or 2) for the same reason (you could also say angle 3 is a vertical to angle 1 and that’s why they are equal)

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Tomtit [17]

Answer:

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3 years ago

A. Plot the data for the functions f(x) and g(x) on a grid and connect the points.

labwork [276]

Answer:

a) see the plots below

b) f(x) is exponential; g(x) is linear (see below for explanation)

c) the function values are never equal

Step-by-step explanation:

a) a graph of the two function values is attached

b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).

c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.

In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.