D=Rt for D, if T=5 hours and R=65 mph
1 answer:
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Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
11 weeks are required for Riley to work to save enough money to buy the new television
<h3><u>Solution:</u></h3>Given that Riley needs a total of $1,049.77
Riley has saved $200.79 already and earns $77.18 per week at her job
To find: Number of weeks Riley need to work to save enough money to buy the new television
Remaining amount needed = $1,049.77 - $200.79
Remaining amount needed = $ 848.98
Let "n" be the number of weeks Riley need to work to save enough money to buy the new television
Also she earns $77.18 per week at her job
1 week ⇒ $ 77.18
"n" weeks ⇒ $ 848.98
Therefore, by cross multiplication,
Therefore 11 weeks are required for her to work to save enough money to buy the new television
<h3><u>Method 2:</u></h3><em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>
1,049.77 = 200.79 + (77.18)(n)
1049.77 - 200.79 = 77.18n
848.98 = 77.18n
n = 11
Therefore 11 weeks are required for her to work to save enough money to buy the new television
Answer:
Step-by-step explanation:
So we have the equation:
And we want to solve for x. In other words, we want to isolate the x-variable.
So, add 2y to both sides of the equation.
On the left, the 2y cancel. Simplify the right:
And we're done!