Provide an appropriate response.When solving the equation 4x + 7 = 5, why is 7 subtracted from both sides first instead of dividing both sides by 4 first?
What will be an ideal response?
When solving an algebraic equation you have to undo the order of operations to isolate the variable. This means you have to subtract first and then divide.
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Find the number of subsets of the set.{7, 8, 9}
A. 6 B. 3 C. 7 D. 8
Solve the problem.There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with the number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree diagram , obtain the sample space for the experiment. List the elements that make up the sample space.
A. 1 2 5 1, 1 2 5 2, 1 2 5 3, 1 2 5 4, 1 2 5 5, 1 2 5 6 B. 1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6, 5 1, 5 2, 5 3, 5 4, 5 5, 5 6 C. 1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6 , 5 1, 5 2, 5 3, 5 4, 5 5, 5 6, 3 1, 4 1, 6 1, 3 2, 4 2, 6 2, 3 5, 4 5, 6 5 D. 1 1, 1 2, 1 5, 2 1, 2 2, 2 5, 5 1, 5 2, 5 5
Write the equation of the ellipse that has its center at the origin, focus at 
and 
is one-half the length of the minor axis.
?
A. 
B. 
C. 
D. 
E. 
Factor the expression completely, if possible.7x9 - 189y6
A. 7(x3 + 3y2)(x6 - 3x3y2 + 9y4) B. 7(x2 - 3y2)(x4 + 3x2y2 + 9y4) C. 7(x3 - 3y2)(x6 + 3x3y2 + 9y4) D. Does not factor