Is 4/8 equivalent to 1/2?
2 answers:
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Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
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1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
See the picture attached to better understand the problem
we know that
(x+20)+∠1=180°-------> by supplementary angles
∠1=160°-x
∠1+∠2=180°--------> by supplementary angles
∠2=180-(160-x)-----> ∠2=20+x
∠2=80°------> by corresponding angles
so
20+x=80
x=80-20-------> x=60°
the answer is
60°
we know that
(x+20)+∠1=180°-------> by supplementary angles
∠1=160°-x
∠1+∠2=180°--------> by supplementary angles
∠2=180-(160-x)-----> ∠2=20+x
∠2=80°------> by corresponding angles
so
20+x=80
x=80-20-------> x=60°
the answer is
60°