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Answer:
m=16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0
Step 1: Simplify 3/4
Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0
Step2: Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
3 3 • 4
3 = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m - (3 • 4) 3m - 12
—————4——————— = ———4————
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(m-16)
———————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (m-16) = 0
6.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : m-16 = 0
Add 16 to both sides of the equation :
m = 16
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
So lets plug the first two values of the table in this function , we get
or
Now plug second
Divide equation 2 by equation 1
On simplifying we get
or
So the multiplicative rate of change of the function is