What is the solution of the system of inequalities?
y is more than or equal to x^2+6x+10
y<-x^2-8x-14
(1 point)
Responses
graph a- A quadratic function is graphed with a solid line. It has a minimum at left-parenthesis negative 3 comma 1 right-parenthesis and passes through the points left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 2 comma 2 right-parenthesis. The interior of the graph of the quadratic function is shaded.
A second quadratic function is graphed with a dashed line. It has a maximum at left-parenthesis negative 4 comma 2 right-parenthesis and passes through the points left-parenthesis negative 5 comma 1 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis. The interior of the graph of the quadratic function is shaded.
The region of the coordinate plane where the two shaded areas overlap is shown in a dark color. The region is bounded above by the second quadratic function and bounded below by the first quadratic function. The points where these two boundaries meet are left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis.
graph b- A quadratic function is graphed with a dashed line. It has a minimum at left-parenthesis negative 3 comma 1 right-parenthesis and passes through the points left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 2 comma 2 right-parenthesis. The interior of the graph of the quadratic function is shaded.
A second quadratic function is graphed with a solid line. It has a maximum at left-parenthesis negative 4 comma 2 right-parenthesis and passes through the points left-parenthesis negative 5 comma 1 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis. The interior of the graph of the quadratic function is shaded.
The region of the coordinate plane where the two shaded areas overlap is shown in a dark color. The region is bounded above by the second quadratic function and bounded below by the first quadratic function. The points where these two boundaries meet are left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis.
graph c- A quadratic function is graphed with a dashed line. It has a minimum at left-parenthesis negative 3 comma 1 right-parenthesis and passes through the points left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 2 comma 2 right-parenthesis. The exterior of the graph of the quadratic function is shaded.
A second quadratic function is graphed with a solid line. It has a maximum at left-parenthesis negative 4 comma 2 right-parenthesis and passes through the points left-parenthesis negative 5 comma 1 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis. The exterior of the graph of the quadratic function is shaded.
The region of the coordinate plane where the two shaded areas overlap is shown in a dark color. This region is outside the graphs of both quadratic functions.
graph d- A quadratic function is graphed with a solid line. It has a minimum at left-parenthesis negative 3 comma 1 right-parenthesis and passes through the points left-parenthesis negative 4 comma 2 right-parenthesis and left-parenthesis negative 2 comma 2 right-parenthesis. The exterior of the graph of the quadratic function is shaded.
A second quadratic function is graphed with a dashed line. It has a maximum at left-parenthesis negative 4 comma 2 right-parenthesis and passes through the points left-parenthesis negative 5 comma 1 right-parenthesis and left-parenthesis negative 3 comma 1 right-parenthesis. The exterior of the graph of the quadratic function is shaded.
The region of the coordinate plane where the two shaded areas overlap is shown in a dark color. This region is outside the graphs of both quadratic functions.
3 answers
Root negative 25 EndRoot
The square root of -25 can be written as the square root of -1 times the square root of 25.
√(-25) = √(-1) * √(25) = i * 5 = 5i
1 answer