Answer : Option D is correct i.e [2.5,4]
Explanation :
Suppose our function is f(x)
then the value of f(x) is minimum where
it reaches -0.44 and 3 with two different intervals .
As we know that for finding the local minimum ,
the criteria is that f'(x)=0 .
So, here
f'(-0.44)=0 and
f'(3)=0
both are the local minimum point for the function f(x)
but -0.44 is the global minimum point .
In our case for [2.5,4] is the required interval where f(x) reaches its local minimum.
Answer:
(Picture)
Step-by-step explanation:
To find 60% of people you just multiply .6 with the number you are trying to find 60% of. Like 100. 100 times .6 = 60.
B=6 i believe! if you use the pythagorean theorem (a^2+b^2=c^2) then you should be able to turn 8^2 and 10^2 into 64 and 100, respectively. 100-64=36 and the square root of 36 is 6. you can plug it in by calculating 8^2 + 6^2, which equals 100! hope this wasn't too confusing XD
7.5 km/h
Step-by-step explanation:
Let's assign the speed of Jerry in still air as <em>x </em> (in km/h)
Let's assign the speed of the wind as <em>y </em>(in km/h)
With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (<em>we are converting the minutes to hours by dividing by 60</em>);
2.5 / (x + y) = 10/60
10x + 10y = 150
x + y = 15
With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;
2.5 / (x-y) = 15/60
15x – 15y = 150
x – y = 10
We can now solve the simultaneous equation by subtraction;
x + y = 15
x – y = 10
2y = 5
y = 5/2 = 2.5
y = 2.5 km/h
x = 7.5 km/h
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