Abasketball is thrown upwards. the height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t2 + 44t + 12 which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

Reasonable domain is [1.375,3].

Step-by-step explanation:

Given function is .

Now we need to find about what is the reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground.

Compare with , we get a=-16 and b=44

then t-coordinate of vertex

Then that means maximum height of the ball occurs when time t=1.375 seconds.

Now let's find time when ball falls on ground so set f(t)=0

or

or

or

Time can't be negative so we use t=3 only

Hence reasonable domain is [1.375,3].

2x^2+5x+17

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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