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:
P(B|Y)=0.4
Step-by-step explanation:
We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y
And we are asked to find P(B|Y)
The formula for P(B|Y)= 
From Venn diagram, 
And P(Y)=
Hence P(B|Y)=
Answer:-2
Step-by-step explanation:
We should find the original number, 7 of 1/10. We divide the known number for the numerator, than multiply for denominator.
7 : 1 = 7 * 10 = 70 <- answer
So 7 is 1/10 of 70
We can check our work:
1/10 of 70 = 7?
70 : 10 = 7*1 = 7
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
