The school's baseball team had two new players and twenty-two returning players. If the coach put them into groups with three players in each group, how many groups would there
Answer:
( x + 3)( x - 3)( x + y )( x - y )
Step-by-step explanation:
You can group the terms in pairs and factor each pair:
-x^2y^2 + x^4 + 9y^2 - 9x^2 = x^2(-y^2+x^2) -9(-y^2+x^2)
= (x^2 -9)(x^2 -y^2)
Each of these factors is the difference of squares, so can be factored as such:
= (x +3)(x -3)(x +y)(x -y)
Area is the product of length and width. If you assume the dimensions are integers, you are looking for factors of 117 that differ by 4.
117 = 1×117 = 3×39 = 9×13
These last two factors differ by 4, so we know the dimensions of the barn are ...
... 9 ft wide by 13 ft long
The quadratic graph crosses the y-axis at -3, so the equation is
The shaded region is on 'outer' part of the graph, hence the inequality is
7x3=21 and also 7 to the 3 power
