To answer this question, we need to know that as x tends to infinity
the exponential values greatly increase with each passing x.
So the exponential values will always be greater than the linear values, as x increases.
Lets see that with an example
Suppose we have
y1 = 2*x
y2 = 2^x
If we evaluate at x = 5, we can see the difference between the two
y1 = 2*(5) = 10
y2 = 2^(5) = 32
If x = 10, the difference becomes even clearer
y1 = 2*(10) = 20
y2 = 2^(10) = 1024
To order the exponential graphs, we need to place ourselves at an specific value of x and check which graphs has the highest corresponding value of y
So the answer to your question, which is to place in descending order according to the value of y:
*green
*orange
*blue
*red
*yellow
*black
Think of the right triangle formed by the ladder, the height of the upper end of the ladder and the distance of the bottom of the ladder from the wall.
Then x = 6 ft and the hyp is 10 ft. The trig function cos theta equals "adj side" / hyp, so, in this case,
cos theta = 6/10 = 0.6. Use the arccos x function on your calculator to find the angle x:
x = 0.927 (radians) = 53.1 degrees.
Answer:
x= 5
by inscribing angle properties of geometry
The answer is decreasing then increasing
Hope this helps!!!!