Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
<h3>What is the Average Rate of Change of a Function?</h3>
Average rate of change = 
.
Given the function, 
,
The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:
a = 2
b = 6
f(a) = 
= 34
f(b) = 
= 754
Average rate of change = 
Average rate of change = 180
Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
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Answer:
23, 25
Step-by-step explanation:
let the first number be represented as A, since there are two odd numbers, the second number would be A + 2
A + A+2 = 48
2A + 2 = 48
2A = 48 - 2
2A = 46 ( divide both sides by 2)
A = 23
since we know the next number to be A + 2
= 23 + 2 = 25
the two numbers are 23 and 25
Y - y1 = [-9-(-5)]/[(9-10] * (x - x1)
y - (-9) = [-9 + 5] / [-1] * (x - 9)
y + 9 = (-4) / (-1) * (x - 9)
y + 9 = 4(x - 9)
y + 9 = 4x - 36
y = 4x - 36 - 9
y = 4x - 45 This is the slope - intercept form.
y - 4x + 45 = 0 This is the standard form
Answer:
battery costs $5, tax is $1.20, and so the total is $26.20
Step-by-step explanation:
