Answer:
Step-by-step explanation:
(g•f)(2) = g(f(2))
Since f(x) = 5x - 4
f(2) = 5(2) - 4 = 10 - 4 = 6
(g•f)(2) = g(f(2))
g(f(2)) = g(6) = (6)^2 = 36
A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.
For example, 5 is prime because 1 and 5 are its only positive integer factors,
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solving for k:
Subtracting 16 from both sides.
Dividing both sides by 3.
Solving for x:
Flipping the original equation.
Subtracting 9 from both sides.
Dividing both sides by 6.
Answer:
Linearly independent, x = 0
Step-by-step explanation:
- We are given three functions as follows:
- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:
Where,
c1 , c2 , c3 are all zeroes then for all values of (x),
- The system of function is said to be linearly independent
- We will express are system of equations as such:
- To express our system of linear equations we will choose three arbitrary values of ( x ). We will choose, x = 0. then we have:
- Next choose x = 1:
- Next choose x = 2:
- Solve the last two equations simultaneously we have:
.... ( Only trivial solution exist )
Answer: The functions are linearly independent
- The only zero exist is x = 0.
Remark
For every 3 units for NP will be 4 units. You can set up a proportion.
3*NP = 4*45
3*NP = 180 Divide by 3
NP = 180/3
NP = 60
Answer C