Answer: y = 3 (x -4)^3
Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3
Answer:
Independent Variable: Number of hours
Dependent Variable: Cost
Equation: C = 2x + 6
Step-by-step explanation:
The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.
The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.
The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Five more than three times the number is one-third more than the sum of the number and itself.
Let the number be n.
Then convert the sentence into a mathematical equation. Then the equation will be
3n + 5 = n + n + 1/3
The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.
The complete question is attached below.
More about the Algebra link is given below.
brainly.com/question/953809
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Answer:
Option D. 
Step-by-step explanation:
Let
x -----> the original price of one game
y ----> the original price of one security programs
Remember that


The total pay with discount is

we have that


Find the total pay without discount

The amount saved is the difference

42/45 with in simplest form would equal to 1 14/42