Answer:
Step-by-step explanation:
The numerator of the rational expression the money he earned for 'x' hours
The rate at which William is paid for each hour in excess of 40 hours 24.
x = 50 hours = (40 + 10 ) hours
The amount paid for excess 10 hours = 24 *10 = 240
Total amount earned for the week = 480 + 240 = 720
Answer:
C. x = 1
Step-by-step explanation:
To solve this problem the best way is to use the quadratic formula. First make everything equal to 0 by adding 3 to both sides.
3x^2 - 6x + 3 = 0
The quadratic formula is: . Substitute the values of a, b, and c into the formula. Keep in mind:
Therefore, x = 1.
From the recursive rule
it follows that
and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with
so that the explicit rule for the n-th term in the sequence is
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
(substitution)
Collect like terms
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°