Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
Answer:
Yes the linear transformation is one to one and it maps a set of real numbers R cubed onto set of real numbers R cubed
Step-by-step explanation:
To show that the linear transformation is one to one, we must show that the columns are linearly independent columns (i.e it must have the trivial solution)
![A = \left[\begin{array}{cccc}1&-2&3&0\\-1&3&-4&0\\-5&-2&9&0\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-2%263%260%5C%5C-1%263%26-4%260%5C%5C-5%26-2%269%260%5Cend%7Barray%7D%5Cright%5D)
For the Augumented matrix A and applying Row Reduction Formula we have that
= ![\left[\begin{array}{cccc}1&-2&3&0\\0&1&-1&0\\0&0&-18&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26-2%263%260%5C%5C0%261%26-1%260%5C%5C0%260%26-18%260%5Cend%7Barray%7D%5Cright%5D)
we can deductively see that 
Since the columns are linearly independent, Hence it is a one-to-one transformation and it maps a set of real numbers R cubed onto set of real numbers R cubed
Let n be the current term and n+1 be the next term
Then the pattern is: n+1 = n * 5
Step-by-step explanation:
Given series is:
0.13, 0.65, 3.25, 16.25
We can find the ratio between consecutive numbers to find the pattern
So,

We can see that multiplying the previous term with 5 gives us the next term
0.13 * 5 = 0.65
0.65 * 5 = 3.25
3.25 * 5 = 16.25
Let n be the current term and n+1 be the next term
Then the pattern is: n+1 = n * 5
Keywords: Pattern, Sequence
Learn more about series at:
#LearnwithBrainly
Answer:
c
Step-by-step explanation:
we can feel energy.......
Answer:
60 cm
Step-by-step explanation: