Knowing that -2 is a root, you can do the synthetic division with an unknown value for c. Then solve for the value of c that makes the remainder be zero. See the attachment for the work.

The second attachment shows that (x+2) is a factor of the resulting cubic.

4 0

3 years ago

How is this equation completed? I cannot find any examples in the book.

djverab [1.8K]

Answer: Option D

$t_{max} =19\ s$

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

$h = -12t ^ 2 + 456t$

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

$at ^ 2 + bt + c$ is located on the vertex of the parabola:

$t_{max}= -\frac{b}{2a}$

Where $a$

In this case the equation is: $h = -12t ^ 2 + 456t$

Then

$a=-12\\b=456\\c=0$

So:

$t_{max} = -\frac{456}{2*(-12)}$

$t_{max} =19\ s$

7 0

2 years ago

As the value of the multiple coefficient of determination increases,

Leona [35]

Answer:

a.the goodness of fit for the estimated multiple regression equation increases.

Step-by-step explanation:

As the value of the multiple coefficient of determination increases,

a. the goodness of fit for the estimated multiple regression equation increases.

As we know that the coefficient of determination measures the variability of response variable with the help of regressor. As we know that if the value of the coefficient of determination increases strength of fit also increases.

7 0

2 years ago