Take the deritive
y'=-3sinx
find whre it equals 0
it equals 0 at -pi, 0, pi, etc
find whre it changes from negative to positive
at -0.5pi, the derivitive is positive
at 0.5pi, the deritivie is negative
changes from positive to negative at x=0
that means that the max values are at pi and -pi in 2pi intervals
-pi, pi, 3pi, 5pi,etc
the min y value is -3
so the minimum(s) are/is at (2aπ,-3) where 'a' is an integer
Answer:
$20
Step-by-step explanation:
simple maths
It’s the first one (2,2)(3,5)(4,0)
Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
12500 people went to fair
<h3><u>Solution:</u></h3>
Given that at the county fair , 12% of the people who attended received free water bottles
1,500 people received free water bottles
To find: number of peoples went to fair
Let "a" be the number of peoples went to fair
From given information,
12% of the people who attended received free water bottles and 1,500 people received free water bottles
Which means 12% of total people is equal to 1500
12% of total people = 1500
12 % of "a" = 1500
Thus 12500 people went to fair
