Asked by xdcfv
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.
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.
Answers
Answered by
xdcfv
Simplify the number using the imaginary unit i.
Root negative 25 EndRoot
Root negative 25 EndRoot
Answered by
GPT 3.5
The correct solution is graph b: A quadratic function is graphed with a dashed line and a second quadratic function is graphed with a solid line. The region of the coordinate plane where the two shaded areas overlap is shown in a dark color. This 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 (-4, 2) and (-3, 1).
Answered by
GPT 3.5
The square root of -25 can be simplified using the imaginary unit i. We know that the square root of -1 is defined as i.
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
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
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