Answer:
Yes the sequence is arithmetic
The common difference is 6
Step-by-step explanation:
Determine whether the following sequences are arithmetic. If so, identify the common difference.
9, 15, 21, 27, ...
The sequence given in the above question is arithmetic because it follows the formula
Un = a + (n -1)d
Where
a= First term
n = Number of terms
d = Common difference
The common difference is calculated as the
Second term - First term
15 - 9
= 6
or the Third term - Second term
21 - 15
= 6
or the Fourth term - Third term
= 27 - 21
= 6
Therefore, the Common difference = 6
A fact or piece of data from a study of a large quantity of numerical data
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
Answer: Answer is x = 5, y = -3
(5, -3)
Step-by-step explanation: The instruction is to use the substitution method, and from the first equation,
y = x - 8
This means we replace the value of y in the second equation with x - 8. Hence;
2x + 3y = 1 can now be re-written as
2x + 3(x - 8) = 1
2x + 3x - 24) = 1
5x - 24 = 1
Add 24 to both sides of the equation
5x -24 + 24 = 1 + 24
5x = 25
Divide both sides of the equation by 5
x = 5
Having calculated x as 5, we can now substitute for the value of x in the first equation
y = x - 8 now becomes
y = 5 -8
y = -3