Answer:
Option (2)
Step-by-step explanation:
Given function is,
9y - 6 = 3x
y = 
To find the inverse of the given function,
1). Substitute x in place of y and y in place of x.
x = 
2). Now we have to solve this equation for the value of y.
9x = 3y + 6
3y = 9x - 6
y = (3x - 2)
Therefore, inverse of the given function is y = (3x - 2)
Option (2) will be the answer.
For a week that he works he would earn $480.70
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It is B because tangent lines are always perpendicular to radii
Answer:
11, 13, 17, 19
Step-by-step explanation:
If you look at the prime numbers chart between 10 and 20, there are:
11, 13, 17, 19
Those are all of the prime numbers that are between 10 and 20.
Answer:
see explanation
Step-by-step explanation:
Given
9n² - n -
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 