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.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

24+x=y

step-by-step explanation: