The number of horses occupying stalls at the county fairgrounds can be modeled by the following function, where x represents the number of days since the first of June.
h(x) = -3x^2 + 30x + 225
Rewrite this function in the form that reveals when there are no horses occupying stalls at the fairgrounds.

Respuesta :

Number of horses ocuppying stalls at the fairgrounds: h(x)
There are no horses occupying stalls at the fairgrounds→h(x)=0

h(x) = -3x^2 + 30x + 225
-3x^2 + 30x + 225 =0


Answer:

[tex] -3x^2 + 30x + 225=0[/tex]

Step-by-step explanation:

Given : [tex]h(x) = -3x^2 + 30x + 225[/tex]

To Find: Rewrite this function in the form that reveals when there are no horses occupying stalls at the fairgrounds.

Solution:

[tex]h(x) = -3x^2 + 30x + 225[/tex]

Where h(x) is the number of horses

x is the number of days

Now we are supposed to Rewrite this function in the form that reveals when there are no horses occupying stalls at the fairgrounds.

So , substitute h(x)=0

[tex] -3x^2 + 30x + 225=0[/tex]

Hence the function in the form that reveals when there are no horses occupying stalls at the fairgrounds is [tex] -3x^2 + 30x + 225=0[/tex]