Answer:
X=8
Step-by-step explanation:
2(x+1)+3=3(x-1)
2x+2+3=3x-3
2+3+3=3x-2x
8=x
Answer:
the clock will represent 4.5 billion years as 2.67 hours
Step-by-step explanation:
Data provided in the question:
Total time of history of Earth = 4.5 billion years
Representation of total time of history of Earth on clock = 12 hours
Therefore,
4.5 billion years = 12 hours
or
⇒ 1 billion year =
or
⇒ 1 billion year = 2.67 hours
Hence,
the clock will represent 4.5 billion years as 2.67 hours
Answer:
Let's denote:
Age of Oscar : x
Age of Oscar's sister : y
Then, we have:
3x = y(1)
2(x + 12) = y + 12(2)
Substitute y from (1) into (2), then:
=> 2(x + 12) = 3x + 12
=> 2x + 24 = 3x + 12
=> x = 24 - 12
=> x = 12
=> Oscar's current age: 12
I only know the first one.
• In 4 hours the cyclist was able to travel 24 miles.
Answer:
Based on the conditions we see that the function never pases through x=2 so then we know that x=2 is not on the domain of f. And we can create the following function who satisfy the conditions:

And we can see that we have a vertical asymptote in x =2 and is negative always on the interval (-∞, 2) and always positive on the interval (2, ∞).
And we can see the function in the figure attached.
Step-by-step explanation:
For this case we need a function that satisfy that is negative on the interval (-∞, 2) and positive on the interval (2, ∞).
Based on the conditions we see that the function never pases through x=2 so then we know that x=2 is not on the domain of f. And we can create the following function who satisfy the conditions:

And we can see that we have a vertical asymptote in x =2 and is negative always on the interval (-∞, 2) and always positive on the interval (2, ∞).
And we can see the function in the figure attached.