The answer
<span>2x - y + z = -3 (1)
2x + 2y + 3z = 2 (2)
3x - 3y - z = -4 (3)
</span> (1) - (2) 3y +2z =5
3 .(1) - 2.(2) 3y+5z = -1<span>
let 's solve
</span>3y +2z =5
3y+5z = -1<span>
z= - 2, and 3y =5+4=9, y=3, so </span>2x - 3 -2 = -3 implies x= 1
<span>
finally x=1, y=3 and z= -2
proof
</span>2x - y + z = -3?? 2.1 - 3 -2 = -3 (true)<span>
</span>
Answer:
(2,-5)
Step-by-step explanation:
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Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = 
= 
= 4
Answer:
c) 0.0156
Step-by-step explanation:
The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...
a[n] = a[1]r^(n-1)
The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...
a[n] = 8(1/2)^(n-1)
The 10th term is then ...
a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512
a[10] = 0.015625 ≈ 0.0156
Step-by-step explanation:
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