Answer:
Step-by-step explanation:
f(x) = 1/4 x²+bx+10
the derivate is : f'(x) = 1/2 x +b
you have : f'(6)=0
1/2 (6)+b=0
3+b =0
b = -3
so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1
f(x) = 1/4(x-6)²+1... the vertex form
The exponential function that models this situation is:
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A decaying exponential function has the following format:
In which:
- y(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The stock started at $225, thus
. - Declines at a rate of 25% every 2 weeks, thus
The equation is:
A similar problem is given at brainly.com/question/24282972
<h3>
Answer: 0.157</h3>
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Explanation:
Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.
You should find that 9/50 = 0.18 which is the same as 0.180
So the original compound inequality is the same as saying 0.125 < x < 0.180
This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.
The number 0.157 is between 0.125 and 0.180, ie 0.125 < 0.157 < 0.180
It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.
Answer:
very fast
Step-by-step explanation:
10.2 miles per minute :)
