Provide an appropriate response.A student says that the equation  can be solved as follows: x - 3 = 2 or x - 6 = 1. If this is correct, explain why. If it is not correct, explain why and give the correct method.

What will be an ideal response?


This is not correct. The zero-factor property only works when the right side of the equation is zero. The left side of the equation must be expanded and -2 must be added to both sides of the equation in order to make the right side equal to zero. Then the left side may be factored, and the zero-factor property applied.

Mathematics

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Find the slope of the line containing the points:  and New Roman|11|#000000|False|False|False{{{|}}}mathml|CONTAINER_ID_FIELDCogneroEndAlgorithmData&varname=IMPVAR%5Feb0528c2ea264dbebf28c1b77&varid=VARIABLE_ESCAPED_ID_FIELD&rnd=c22a7369372c4948ae2aaa68352f4cc2&wiris=true" class="Wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="VARIABLE_ID_FIELD" variablename="IMPVAR_eb0528c2ea264dbebf28c1b77" />. ? A.

?4


B.

?-4


C.

?


D.

?


E.

?None of the above.


Mathematics

For the equation, create a table, -3 ? x ? 3, and list points on the graph.2x + 3y = 6

A.

(-3, 4), (-2, 3.33), (-1, 2.67), (0, 2), 
(1, 1.33), (2, 0.67), (3, 0)
B.

(-3, 8), (-2, 7.33), (-1, 6.67), (0, 6), (1, 5.33),
(2, 4.67), (3, 4)
C.

(-3, 8), (-2, 6), (-1, 4), (0, 2), (1, 0),
 (2, -2), (3, -4)
D.

(-3, 0), (-2, 0.67), (-1, 1.33), (0, 2),
(1, 2.67), (2, 3.33), (3, 4)

Mathematics

Provide an appropriate response.Will there always be two solutions when the zero-factor theorem is used to solve a quadratic equation? Why or why not?

What will be an ideal response?

Mathematics

Solve the problem.In a card game, it is possible to have a negative score. If Ellie's score is 16, what is her new score if she loses 36 points?

A. -52 points B. 52 points C. 20 points D. -20 points

Mathematics