A tennis ball is hit straight up in the air, and its height, in feet above the ground, is modeled by the equation f(t)=3+5t−16t^2 f(t)=3+5t-16t^2 , where t t is measured in seconds since the ball was thrown. Find the solutions to the equation 0=3+5t−16t^2 0=3+5t-16t^2 using the quadratic formula. Show your work! What do the solutions tell us about the tennis ball?

t = -0.304 and 0.62 secs

the ball was thrown 0.62 secs later

Step-by-step explanation:

Given the quadratic equation

0=3+5t−16t^2

We are to factorize it using the formula;

The formula is expressed as

t = -b±√b²-4ac/2a

From the given expression

a = -16 b = 5 c = 3

Substitute

t = -5 ±√5²-4(-16)(3)/2(-16)

t = -5 ±√25+192/-32

t=  -5 ±√217/-32

t= -5 ±14.73/-32

t = -5+14.73/-32 and t = -5-14.73/-32

t = -9.73/32 and -19.73/-32

t = -0.304 and 0.62 secs

Hence the ball was thrown 0.62 secs later

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b