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
Thinking about combining 45 pennies and 50 pennies. How many pennies would you have in total? 95
Answer:
0 = 6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(m−1)=5m+3−2m
(3)(m)+(3)(−1)=5m+3+−2m (Distribute)
3m+−3=5m+3+−2m
3m−3=(5m+−2m)+(3) (Combine Like Terms)
3m−3=3m+3
3m−3=3m+3
Step 2: Subtract 3m from both sides.
3m−3−3m=3m+3−3m
−3=3
Step 3: Add 3 to both sides.
−3+3=3+3
0=6
This is the answer the x=3 and the y=2
Answer:
5.3
Step-by-step explanation:
You use the Pythagoras theorem which is a^2+b^2=c^2.
Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.
8^2 - 6^2 = b^2
64 - 36 = b^2
b = sqrt(28)
b = 5.2915.... = 5.3
