Y varies inversely with x
means that y=k/x
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is
y=56/x
In linear algebra, the rank of a matrix
A
A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of
A
A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by
A
A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
The rank is commonly denoted by
rank
(
A
)
{\displaystyle \operatorname {rank} (A)} or
rk
(
A
)
{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in
rank
A
{\displaystyle \operatorname {rank} A}.
Answer:
2 cats were cared for
Step-by-step explanation:
c= cats
d=dogs
c+d =7
1.5c+3.5d=20.50
c+d =7
solve for d
d = 7-c
substitute into 1.5c+3.5d=20.50
1.5 c + 3.5 (7-c) = 20.50
distribute
1.5c +24.5 -3.5 c = 20.5
combine like terms
24.5 -2c =20.5
subtract 24.5 from each side
-2c = -4
divide by -2
c =2
Answer:
164.848 m
Step-by-step explanation:
