All you have to look at is the word "dropped" and you know it's a subtraction problem. In this case, it would be 8 - 15.
8 - 15 = -7
It would be -7<span>°C at midnight. I hoped this helped! :)</span>
The answer for your questions is 125%
Answer:
The domain of the function f(x) is:
The range of the function f(x) is:
Step-by-step explanation:
Given the function
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
- Range refers to all the possible sets of output values on the y-axis.
We know that the range of an Absolute function is of the form
so
Thus, the range of the function f(x) is:
Answer:
The equation of line a is y = x
The equation of line b is y = x
Step-by-step explanation:
The equation of the proportional is y = m x, where
- m is the slope of the line (constant of proportionality)
The rule of the slope of a line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m =
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m =
∴ m =
→ Substitute in the form of the equation above
∴ y = () x
∴ y = x
∴ The equation of line b is y = x