Chynnab7416
01.08.2019 •
Mathematics
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+30+225 rewrite this function in the form that reveals when there are no horses occupying stalls at the fairgrounds.
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Ответ:
The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
The number of days is: "15 days" .
Explanation:
Given:
h(x) = - 3x² + 30 + 225 ;
Rewrite as: " - 3x² + 30 + 225 = 0 " ;
Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ;
-1 * {- 3x² + 30 + 225 = 0} ;
to get: " 3x² − 30 − 225 = 0" ;
Divide EACH SIDE of the equation by "3" ; to simplify; since:
"3", "30", and "225" are divisible by "3" ;
{3x² − 30 − 225} / 3 = 0 / 3 ;
to get:
" x² − 10 − 75 = 0 " ;
Let us factor:
-15 + 5 = -10 ;
-15 * 5 = -75 ;
Rewrite as:
(x − 15) (x + 5) = 0 ;
x = 15; and x = -5 ;
The number of days cannot be "negative value"; so we stick with:
"x = 15 days"
The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
The number of days is: "15 days" .
Ответ:
gracias por los puntos xdxdxdxd jajajajajajaja
Step-by-step explanation: