Need help on algebra ii question

≈ 6 seconds

Step-by-step explanation:

When it says about hitting the ground, it means it hits the t-axis.

That means we have to solve for t-intercepts to find the solution.

Finding t-intercept, let y = 0.

Use the Quadratic Formula.

Substitute in a = -16, b = 96 and c = 3.

Then simplify to simplest form.

Then use the highest value/root which is 12+7√3 over 4 then input it in a calculator and you will see that the highest root is close to 6.

We use the highest root because thats when y or height = 0 hence if height = 0 then the object finally hits the ground.

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