Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = 9, d = 8 in the equation


Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
J can give you some example:
absolute (1-3)=absolute(-2)=2
Direct variation is when one variable changes the other changes in proportion of the first, therefore all the above
Answer:
y=5x-12
Step-by-step explanation:
The general equation of a line is <em>y=mx+b</em>.
The equation you currently have is <em>y=5x+b</em>.
Plug in the point (3,3) which will get you <em>3=5(3)+b</em>.
Solve the equation by solving what the y-intercept (b) is to create the new final equation.
3=5(3)+b
3=15+b
b=3-15
b=-12
y=5x-12
Answer:
The answer is 29.25
Step-by-step explanation:
Using distributive property, the equation would be 3(9.75).
9.75*1+9.75*1+9.75*1=29.25