Answer: x = 5, x = -7/2
<u>Step-by-step explanation:</u>
2x² - 3x - 35 = 0
<u>Step 1:</u> Find two values whose product = 2(-35) and sum = -3: -10 & 7
<u>Step 2: </u>Replace the b-value of -3x with -10x + 7x:
2x² - 10x + 7x - 35 = 0
<u>Step 3:</u> Factor the first two terms and the second two terms:
2x(x - 5) +7(x - 5) = 0
<u>Step 4</u>: Write the factored form:
Notice that the parenthesis are identical. This is one of the factors. The outside values are the other factor:
Parenthesis: (x - 5)
Outside: (2x + 7)
Factored form: (x - 5)(2x + 7) = 0
<u>Step 5: </u>Set each factor each to zero and solve for x:
x - 5 = 0 2x + 7 = 0
x - 5 
Answer:
8 mph
Step-by-step explanation:
The equation for average speed is:

Let's start by finding the distance for each animal:


Now, we can find the average speed:

8 mph
Some integers are irrational is false
Answer:
B
Step-by-step explanation:
Becaus it just is
That depends. If you have a finite data set, you would add up all the points you have and divide by the total count.
Or, if you are working with pure distributions, the mean is the same as the expected value of the corresponding random variable.
Suppose you have a discrete random variable

with a given probability mass function

, then the mean is given by

which would mean you take all the possible probability for the event that

, multiply each by that

, and add them together.
If the distribution is continuous, say a random variable

that has probability distribution function

over some support

, then the mean is