Find the x-intercepts (if any)of the graph of the function. If the x-intercepts are irrational, round your answers to the
nearest tenth.
-$$f ( x ) = - x ^ { 2 } + 11 x - 30$$
A)x-intercepts: (5, 0)and (6, 0)
B)x-intercepts: (5, 0)and (-6, 0)
C)x-intercepts: (-5, 0)and (-6, 0)
D)No x-intercepts

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$ and solve for $x$. Thus, $-x^2 + 11x - 30 = 0$. Factoring the quadratic equation gives $-(x - 5)(x - 6) = 0$, leading to $x = 5$ and $x = 6$. Therefore, the x-intercepts are at (5, 0) and (6, 0).

Find the X-Intercepts (If Any)of the Graph of the Function f(x)=−x2+11x−30f ( x ) = - x ^ { 2 } + 11 x - 30f(x)=−x2+11x−30

Find the X-Intercepts (If Any)of the Graph of the Function $f ( x ) = - x ^ { 2 } + 11 x - 30$