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:
x = - 3
Step-by-step explanation:
g(x) = 4x + 1...... (1)
g(x) = -11.... (2)
From equations (1) & (2)
-11 = 4x + 1
-11 - 1 = 4x
-12 = 4x
-12/4 = x
-3 = x
x = - 3
Answer:
28
Step-by-step explanation:
1 - 3 + 30
= -2 + 30
= 28
Since it is parallel, gradient must be the same so it will be 1/2
y=1/2x+c
-7=1/2(0)+c
c=-7
equation is y=1/2x-7
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
