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.
Based on the given parameters, the value of the function h(-1) is -1
<h3>How to evaluate the function?</h3>
The equation of the function is given as:
h(t) =-t^2 + t + 1
The function is given as:
h(-1)
This means that t = -1
So, we substitute t = -1 in the equation h(t) =-t^2 + t + 1
h(-1) =-(-1)^2 + (-1) + 1
Evaluate the exponent
h(-1) =-1 - 1 + 1
Evaluate the like terms
h(-1) = -1
Hence, the value of the function h(-1) is -1
Read more about functions at:
brainly.com/question/1415456
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<u>Complete question</u>
Consider the following function definition, and calculate the value of the function
h(t) = −t2 + t + 1 h(−1)
Given:
Consider the given equation is:
To find:
The missing exponent.
Solution:
Let x be the missing exponent. Then the given equation can be written as
It can be rewritten as:
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the coefficient of m, we get
Therefore, the value of the missing exponent is 8. So, the complete equation is 
.
Answer:
Use the explantion to answer your question
Step-by-step explanation:
Amount he paid for first 20 shares
= $25 + (20 x $10.51)
= $25 + $210.20
= $235.20
Amount he paid for next 20 shares
= $25 + (20 x $8.93)
= $25 + $178.60
= $203.60
Thus, total amount paid
= $235.20 + $203.60
= $438.80
