Answer:
28 billion dollars
Step-by-step explanation:
The total spent on research and development by the federal government in the United States during 2002–2012 can be approximated by
billion dollars (2 ≤ t ≤ 12), where t is the year since 2000.
If t=6, that is, In the year 2006,
=28 billion dollars (To the nearest billion dollars)
In 2006, the federal government of the United States spent approximately $28 billion on research and development.
The answer is 7x - 8y = 37
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
