Answer:
a. C(x) = $16, if 0 ≤ x ≤ 10
C(x) = 2x - 4 if x > 10
b. Independent: Number of DVD rentals
Dependent: Monthly cost of rentals
c. $26
Step-by-step explanation:
a. The cost (C) of renting 'x' DVDs is given by:
If 10 ≤ x ≤ 10
C(x) = $16
If x > 10
C(x) = 16 + 2(x-10)
C(x) = 2x - 4
b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.
c. For x = 15:
C(15) = 2*15 - 4
C(15) = $26
It costs $26 to tent 15 DVDs in one month
Answer:
∠EFG = 48°
Step-by-step explanation:
As FH bisects ∠EFG , ∠EFH = ∠HFG .
We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°
Also, ∠HFG + ∠EFH = ∠EFG
=> 2(-5x + 89)° = (61 - x)°
=> -10x + 178 = 61 - x
=> 10x - x = 178 - 61
=> 9x = 117
=> x = 117 / 9 = 13
Putting the value of 'x' in ∠EFG gives :-
(61 - x)° = (61 - 13)° = 48°
Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......