The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10
The domain is therefore [0, 10].
The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].
The function is discrete because r and m cannot take every value in the number line.
Answer: The answer is 35 degrees
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>
Answer:
<u>∠AEB = 72°</u>
Step-by-step explanation:
<u>Finding x</u>
- ∠AEB = ∠DEC (Vertically opposite angles)
- 7x - 5 = 2(4x - 8)
- 7x - 5 = 8x - 16
- 8x - 7x = -5 + 16
- x = 11
<u>Finding ∠AEB</u>
- 7x - 5
- 7(11) - 5
- 77 - 5
- <u>∠AEB = 72°</u>
Answer:
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Step-by-step explanation: