Answer:
g(n) = 180 - 20(n-1)
Step-by-step explanation:
Since your has its g(1) value as 180, we put 180 in front. Then, we subtract 20 multiplied by n-1, n being the sequence number. For example, if the recursive function has recursed 3 times, we do 3-1, which is 2. We multiply 2 with 20, which is 40. Finally, we subtract 40 from 180, which is 140. This equation is equivalent to g(3) = 180 - 20(3-1). When the sequence has g(3), we clearly see the answer is 140. When we look at the sequence, the third number is 140, proving this equation correct.
I think you would have to talk to your advisor
Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em></em> when <em>, </em>which translates as
This tells us that varies by a factor (lets call it) for a given value of .
To find this factor we can just divide 45 with 9 which gives:
Thus the factor here is which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for and solve for as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
Answer:What are the following?
Step-by-step explanation:
<u>Answer:
</u>
The solution of for M = 10, N = -5P and P = -2 is 25
<u>Solution:
</u>
From question, given that the value of M is 10 and N is -5p and P is -2
We have to evaluate the value of ,
By substituting the values of M and N, we get
Expanding :
Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.
Similarly expanding :
Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.
So the equation becomes,
By dividing 100 by 4 , we get the result as 25
Hence the solution of when M = 10 and P = -2 is 25