A double negative equals a positive so this is essentially:
-34+55
Of which equals 21
<span>We need to find the correct answer on the given choices:
If a >
0 and b < 0, then The answer is a + b > 0
let’s give a specific example:
let’s have a = 1
and b = .20
</span>
<span>Now,
let’s try calculating if our answer is correct.
Thus a + b > 0
=> a + b
=> 1 + .20
=> 1.20
and 1.20 is greater than 0.
=>Therefore 1.20 > 0 = a + b > 0</span>
Answer:
Only d) is false.
Step-by-step explanation:
Let be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that . 0 is a root of p, so we have that .
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.
Answer:
Alicia's Paycheck = x
Took half money for dinner x/2
She spent $42.15 on dinner and she brought home more than $20.00.
x/2 - $42.15 > $20.00
=> x/2 > $62.15
=> x > $124.3
Answer:
25% decrease
Step-by-step explanation:
Percent change can be found by doing difference/original
(950,000 - 712,500) / 950,000
= 0.25
There was a 25% decrease in the population