The height ,h, in feet of a baseball that is popped up into the air is a quadratic function of the time, t, in seconds, since it was hit. an equation that may model this situation is h(t)=4+60t-16t^2. answers the following questions accurately, rounding to two decimals places when needed.

Step-by-step explanation:

The exercise provides you the following Quadratic function:

You know that it represents the height (in feet) of the ball as a function of the time (in seconds) since the ball hit the bat.

Based on this, you can conclude that when the ball strikes the bat the time in seconds is:

Therefore, in order to calculate the height in feet of the ball when it strikes the bat, you need to subsititute into the function and    then evaluate.

So, you get:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.