The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
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Answer:
c=-5
d=1
Step-by-step explanation:
I'm going to reorder the left-hand side. Multiplication is commutative.
Since the bases are the same in 
and the operation is multiplication, I'm going to add the exponents giving me:
So this implies we have two equations to solve:
and 
So the first equation can be solved by dividing both sides by 4 giving you 
.
The second equation can be solved by subtracting 2 on both sides giving you 
.
This is the answer (−1.550510257)
Answer:
the sequence begins as {4, 7, ... }
Step-by-step explanation:
a(n) = 3n + 1
The first term is a(1) = 3(1) + 1 = 4, and
the second term is a(s) = 3(2) + 1 = 7
So the sequence begins as {4, 7, ... }
Answer: -4293764
Step-by-step explanation:
