Answer:
B) -3 (Sorry if its overwhelming)
Explanation:
First, we have the given information of the weather over a <em>2</em> and <em>1/5</em> <em>span</em>
And we are asked to find the change per hour
We can first start by finding the <em>change</em> for 2 and 1/5 hours:
- Subtract the first amount by the second amount.
= (-6 3/5) - 0
= (-6 3/5) + 0
= -6 3/5
Now that we have the change for <em>2 and 1/5 hours</em> we must find the <em>change</em> per hour:
- Divide the given dividend by the given divisor
= -6 3/5 ÷ 2 1/5
= -3
Hence, the temperature <em>change per hour</em> over a 2 1/5 hour span is -3° per hour
Answer:
the chances of rolling a 3 are 1/6
the changes of not doing it is 5/6
For this case we have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
We then have the following function:
Applying the definitions we have:
Answer:
The function is not odd because it is fulfilled:
Therefore, the function is even.
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
For this fraction, we have (3x+2) in both the numerator and the denominator. So, they will be cancelled together.
Then we can notice that we can divide the coefficients in the numerator and the denominator by 9 as 36/9 = 4 and 9/9 = 1
So, the expression now becomes:
(x+7) / 4(x-5) which is the simplest form.
