A baseball is thrown directly upward with an initial velocity of 98 feet per second (or approximately 67 mph) from an initial height of 7 feet. The height of the ball (in feet) after t seconds is given by the formula: h(t) = -16t2 + 98t + 7 (If there was no air resistance, this equation would give accurate results. However, in reality, the air slows down the baseball and it would not actually go as high as you will calculate).
a. Draw a graph of the function by hand. Number the x-axis from 0 to 7 and the y-axis from 0 to 160. Make sure to keep a consistent scale and accurately label the x- and y-axes by what they represent in words. Use a ruler and graph paper to make a neat graph.
b.
c.
Find the vertex. Show all work.
What is the maximum height of the ball? How is this represented on the graph?
d.
on the graph?
After how many seconds will the ball reach its maximum height? How is this represented
e. After how many seconds will the ball hit the ground? Show all work, and express your solution as an exact simplified radical and as a decimal approximation to the nearest 0.01 seconds. How is this represented on the graph?

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

46.2+112.3

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

explanation:

step-by-step explanation: