Answer:
Step-by-step explanation:
Hello, please consider the following.

So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so
is divisible by 3
and we check what happens for k+1

is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that
is divisible by 3 for all positive integers n.
Thanks
Answer: $2,700
Step-by-step explanation:
$18,000 times 5% = 900
900 times 3 is 2,700
Therefore your answer will be 2,700
Answer:x^2 + 8x + 20
a = 1
b = 8
c = 20
Discriminant = b^2 - 4ac
=> 8^2 - 4(1)(20)
=> 64 - 80
=> -16
As -16<0
So, equation has no real roots
I hope this will help you
(-:
Step-by-step explanation:
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be
or
.
Since the shaded region A is above the line, the symbol is 
Observe that its y-intercept is:

The line of g(x) is solid. This means that the symbol of the inequality must be
or
.
Since the shaded region B is below the line, the symbol is
.
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
