#5: This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time. Determine whether ea
ch statement is true according to the graph. Select True or False for each statement.
Captionless Image
True False
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
Coupon
#6: John has a coupon for 20% off any item in a store. What would the final cost be for an item that originally cost $15 if he uses his coupon? (Assume there are no taxes)
Captionless Image
True False
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
Coupon
#6: John has a coupon for 20% off any item in a store. What would the final cost be for an item that originally cost $15 if he uses his coupon? (Assume there are no taxes)
2 answers:
Answer:
#5 False, True, True
#6 $12
Step-by-step explanation:
#5 In the figure attached, the missing picture is shown.
- The maximum amount of gas in the gas tank was 60 ounces. False, it was 30
- The amount of gas in the gas tank is at a maximum at 0 minutes. True
- The gas tank will be empty after 60 minutes. True
#6 The discount is equal to 20/100 * $15 = $3. Then, John has to pay $15 - $3 = $12
Answer:
5. See below
6. $12
Step-by-step explanation:
5.
<em>Image/Graph attached.</em>
<em />
<em>The maximum amount of gas in the gas tank was 60 ounces:</em>
The max amount is at the starting, at t = 0. The y-axis (amount of gas) at that time is at 30, so the max amount is 30, NOT 60.
False.
<em>The amount of gas in the gas tank is at a maximum at 0 minutes:</em>
This is true, because the more you drive, the less gas you have. You have a full tank/max before you start. That's at t = 0 minutes.
True.
<em>The gas tank will be empty after 60 minutes:</em>
The y-axis goes to 0 at t = 60 minutes. That means, after 60 minutes, gas is over. Tank is empty. So this is true.
True.
6.
If something costs $15 and John uses a coupon on that, he will get 20% off of that. The final price would be 20% (0.2) less than the original, $15. We need to find 20% of 15 and then subtract from 15.
20% of 15 = 0.2 * 15 = $3
Now
15 - 3 = $12
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a = √9 = 3
b = √16 = 4
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a = 3
b = 4
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where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.