Answer:
Step-by-step explanation:
y=x²-2x-1
and y=-3x+5
x²-2x-1=-3x+5
x²+x-6=0
x²+3x-2x-6=0
x(x+3)-2(x+3)=0
(x+3)(x-2)=0
x=-3,2
when x=-3
y=-3×-3+5=9+5=14
when x=2
y=-3×2+5=-6+5=-1
so solutions are (-3,14) and (2,-1)
Answer:
They are consecutive terms in the Fibonacci Sequence.
Step-by-step explanation:
The sequence goes 1,1,2,3,5,8,13,21,...
Since 13 and 21 are consecutive here, that is the answer.
Answer:
$560
Step-by-step explanation:
Given that :
Principal, P= $500
Interest rate, r = 12% per year
Amount in account after 1 year
Time = 1 year
Using the relation :
A = P(1 + rt)
A = final amount in account
A = $500(1 + 0.12(1))
A = $500(1 + 0.12)
A = $500(1.12)
A = $560
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Answer: x = -3
Step-by-step explanation:Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Equation at the end of step 1 :
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x-3 = 0
Add 3 to both sides of the equation :
-x = 3
Multiply both sides of the equation by (-1) : x = -3
One solution was found :
x = -3
