Answer:

Step-by-step explanation:
To find the average rate of change, we use the formula

Where
and 
Knowing this, we can plug in all of our know values and simplify.

Answer:
42
Step-by-step explanation:
The answer to life the universe and everything is 42
Answer:
y=-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx +b where m is the slope and b is the y intercept
We know the slope is zero
y = 0x+ b
Substituting the values for x=-1 and y=-1 from the point we are given
-1 =0 +b
b=-1
Putting this into the original equation
y = 0x+-1
y=-1
Answer:

Step-by-step explanation:
There are 52 cards in a standard deck, and there are 4 suits for each card. Therefore there are 4 twos and 4 tens.
At first we have 52 cards to choose from, and we need to get 1 of the 4 twos, therefore the probability is just

After we've chosen a two, we need to choose one of the 4 tens. But remember that we're now choosing out of a deck of just 51 cards, since one card was removed. Therefore the probability is

Now to get the total probability we need to multiply the two probabilities together

Answer:
x ≈ 4
Step-by-step explanation:
We use tan∅ to solve this:
tan30° = x/7
7(tan30°) = x
x = 4.04145
Remember that tangent is opposite over adjacent.