So let's convert these to improper fractions:
Then let's convert these fractions so that they have a denominator of 15 so we can better compare these numbers:
So when we have gallons splash out, we are left with
gallons or
gallons in the tub.
Answer:
the answer is 8cm i think
Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.
Answer and Step-by-step explanation:
The answer is the last answer choice.
g(x) =
We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.
The equation for a transformed function is:
f(x) =
a determines the scale of the graph and whether the graph opens up or down.
h determines whether the graph shifts left or right.
k determines whether the graph shifts up or down.
We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.
k is a positive 1, so the graph will be shifted up 1 unit.
<u>Thus, the answer is the last answer choice.</u>
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