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The <em>correct answers</em> are:
C) No: we would need to know if the vertex is a minimum or a maximum; and
C)( 0.25, 5.875).
Explanation:
The domain of any quadratic function is all real numbers.
The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.
If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.
There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.
The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).
How many 3 wires can be cut from a spool of wire that is 100 inches long?
How many inches will be left over?
Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.
Number of pieces = 100 ÷ 3 = 100 ÷
That gives
Simplifying gives =
This is equivalent to 26 pieces
So 26 pieces of wires can be cut from a spool and of a piece will be left over.