Answer:
Recursive:

Explicit:

And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:

Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:

Explicit Rule:
The standard format for the explicit rule is:

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

Evaluate:

Hence, the 20th term is 225.
V=(π)(r^2)(h)
π=3
r=half of the diameter=4
h=12
V=(3)(4^2)(12)
= (3)(16)(12)
= 576 cm cubed
Answer:
x cannot equal seven, there's a mark for it in RSM menu
Step-by-step explanation:
so the answer is y = -7
Answer:
f(x)=x2
g(x)=3x+2
(f+g)(x)=x2+3x+2=(x+1)(x+2)
Step-by-step explanation:
Explanation:
Answer:
Use, y = 3x-3, it might be easier to graph
Step-by-step explanation:
You can convert this equation into slope-intercept for to gramph.
y = (x – 3)2 + 3
y = 3x-6+3
y = 3x-3