Viola and paige stand next to each other and kick soccer balls in the air. the
path of viola's ball is described by the equation y=-3x2 + 6x + 3. the path of
paige's ball is shown by the graph.
in each function, x is the horizontal distance the ball travels in meters, and y
represents the height.
whose soccer ball reaches a greater height?
o
a. both soccer balls reach the same height
o
b. viola's soccer ball
o
c. paige's soccer ball

Step-by-step explanation:

To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.

So, we know that Viola's function is , as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.

Where b and a are from the general quadratic function: .

So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:

Then, we use the function to calculate the vertical coordinate of the vertex:

Therefore, the max altitude reached by Viola is 6 meters.

Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.

Therefore, Paige reached the higher height. The answer is C.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.