Answer: m = -243
Explanation:
• Solve
-27 = m/9
•Multiply 9 by 27
m/9 * -27
• Result
m = -243
Answer:
The rate of change of f(x) is greater than that of g(x)
They have the same y intercept of 14
Step-by-step explanation:
Given

Table for function f(x)
Required
Compare their rate of change and intercept
For g(x), we have:

The form of an equation is:

Where


So:


For f(x): Start by calculating the slope (m)



The intercept is calculated using:

Where

--- we want to solve for y
So:


Multiply both sides by 2

Make y the subject


So, we have:
and
-- for g(x)
and
--- for f(x)
By comparison:
The rate of change (i.e. slope) of f(x) is greater than that of g(x) because 
They have the same y intercept of 14
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Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Step-by-step explanation:
We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.
This is the combination question.
The total combinations will be: 2^7=128
Now, finding number of ways we can get exactly 4 tiles:
We will use the formula:

in our given question, n= 7, k= 4
Putting values:

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Keywords: Probability
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