Answer:
39
Step-by-step explanation:
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<span>The results are independent:
P(2 heads) = 1/4
P(roll a 4) = 1/6
</span><span>P(2 heads and a 4) = (1/4)(1/6) = 1/24</span>
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
Answer:
(- 3, 5 )
Step-by-step explanation:
Given the 2 equations
y = - x + 2 → (1)
y = - 2x - 1 → (2)
Using substitution method.
Substitute y = - x + 2 into (2)
- x + 2 = - 2x - 1 ( add 2x to both sides )
x + 2 = - 1 ( subtract 2 from both sides )
x = - 3
Substitute x = - 3 into (1)
y = - (- 3) + 2 = 3 + 2 = 5
Solution is (- 3, 5 )
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.