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.
Down
The formula for a quadratic equation is y = ax^2 + bx + c. In this case, a = -4, b = 8, and c = 12. The direction of the parabola can be determined by a. If a is positive, the parabola opens upwards, and if a is negative, the parabola will open downwards.
Answer:
64 guarts of ice-cream
8/5 quarts of ice-cream = 1/4 cake
x guarts of ice-cream = 10 cakes
cross multiply and find x you'd get 64
Answer:
(a) 
(b) 2020
Step-by-step explanation:
(a) Let the exponential equation that shows the population in thousand after x years,
Also, suppose the population is estimated since 2010,
So, x = 0, y = 83 thousands,
Again by 2015 the population had grown to 105 thousand,
i.e. y = 105, if x = 5,
Hence, the required function,
(b) if y = 135,
Hence, after approximately 10 years since 2010 i.e. in 2020 the population would be 135.
