Question

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.

Answer 1

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 2

`-3x^2 + 30x + 225=0`

Explanation:

Given :
`h(x) = -3x^2 + 30x + 225`

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

Solution:

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

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

`-3x^2 + 30x + 225=0`

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