Answer:
is linearly dependent set.
Step-by-step explanation:
Given:
is a linearly dependent set in set of real numbers R
To show: the set
is linearly dependent.
Solution:
If
is a set of linearly dependent vectors then there exists atleast one
such that 
Consider 
A linear transformation T: U→V satisfies the following properties:
1. 
2. 
Here,
∈ U
As T is a linear transformation,

As
is a linearly dependent set,
for some 
So, for some 

Therefore, set
is linearly dependent.
Answer:
13g +6
Step-by-step explanation:
3(6g+2) -5g
Distribute
18g +6 - 5g
Combine like terms
13g +6
Answer:
If it is a six-sided die then it has the probability of 1/6 or .16
Step-by-step explanation:
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Answer:
use calculator and then solve it╮(─▽─)╭