Answer:
a) (0, ∞)
b) (-∞, ∞)
c) x = 0
Step-by-step explanation:
It helps to have some idea what the log function is.
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a) The domain is all positive numbers: (0, ∞).
b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)
c) There is a vertical asymptote where the argument of the log function is zero: at x=0.
Answer:
- 4
Step-by-step explanation:
The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.
In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.
For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;
The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).
35 people paid a total of $245 for admission to a local soccer game. What is the price of admission?
Answer: We are given that 35 people paid total of $245 for admission.
Now we need to find the price of one admission. To find the price of one admission we need to divide the total amount paid by the number of people.
Therefore, the price of admission is:
7
5:9
You need to find the greatest common factor and divide each side by it.
In this case it is 10... 50/10 = 5 90/10 = 9
So 50:90 = 5:9
