<h2>Hello</h2>
The answers are:
a) The name of the function is g, and it's an Exponential Function.
b) Independent variable : x , dependent variable : g(x)/y
c) The rule that assigns exactly one output to the very input is called "function".
d) 
<h2>Why?</h2>
Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise, the name of the function is "g", and it's an Exponential Function.
The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".
The dependent variable is the function itself (g(x)), it's also called "y", and it's called "dependent" variable because its values will always depend on the "independent variable".
A function is the rule that states that there is exactly one output (range value) to the each input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
To evaluate a function we need to assign values to the independent variable(x), therefore:
Have a nice day!
False, it may change the side length (not 100% sure) but I know for sure dilating doesn't change the angle
84 sq. ft of the wall has to be covered with paint or wallpaper.
Step-by-step explanation:
- Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width
Area of the wall = 8 × 16 = 128 ft²
Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)
Area of the fireplace = 5 × 3 = 15 ft²
Area of the mirror = 4 × 2 = 8 ft²
- Step 2: Calculate the area to be painted or covered with wallpaper
Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)
= 128 - 44
= 84 ft²
Answer:
b. -2
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:
2x (-2x) + y = (-2x) + 12
y = -2x + 12
Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2
b. -2 is your answer.
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