A bouncy ball is thrown into the air. The height of the bouncy ball above ground can be represented by the function h(t)= −16t^2+46t+6, where h is the height (in feet) of the ball above the ground, and t is the time (in seconds) that has passed since the ball was thrown. How many seconds will it take the ball to reach the ground

t=3 seconds

Step-by-step explanation:

h(t)=0 gives

the answer for this question is 38

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places