If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,If a graph passes the vertical line test, then it is a graph of a function. (True)If a graph is not a graph of a function, then it will not pass the vertical line test. (True)Yes, but only if the original if-then was true.
Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.
true
it is a negative slope.
It must be a straight line. It must pass through the origin.
If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,If a graph passes the vertical line test, then it is a graph of a function. (True)If a graph is not a graph of a function, then it will not pass the vertical line test. (True)Yes, but only if the original if-then was true.
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
true
Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.
true
Statement: All birds lay eggs. Converse: All animals that lay eggs are birds. Statement is true but the converse statement is not true. Statement: If line A is perpendicular to line B and also to line C, then line B is parallel to line C. Converse: If line A is perpendicular to line B and line B is parallel to line C, then line A is also perpendicular to line C. Statement is true and also converse of statement is true. Statement: If a solid bar A attracts a non-magnet B, then A must be a magnet. Converse: If a magnet A attracts a solid bar B, then B must be non-magnet. Statement is true but converse is not true (oppposite poles of magnets attract).
No - a line graph may peak and trough depending on the data marked on the graph - a bit 'like join the dots'.
The line has a slope of -4
true
true
graph
There's no question there yet. That statement is the equation of a straight-line graph, and the coordinates of every point on the graph make the statement true. If you want a single definite number for 'x' and 'y', you need another equation. You always need as many equations as the number of "unknowns" to be found.