Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6.
The coefficient of y^2 is 2 and the constant term is 6.
The product of 2 and 6 is 12.
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer: 5 (2 y - 3) (y - 2)
After graphing the set of inequalities and looking for the overlapping of the shading, the only ordered pair that falls within this shaded area is ( -2, 2)
Answer:
<em><u>M(-2,-6)</u></em>
y-axis (-2,6)
x-axis (2,-6)
<u><em>N(4,1)</em></u>
y-axis (4,-1)
x-axis (-4,1)
Step-by-step explanation:
When the point is reflected across the x-axis then the y value will change signs.
When the point is reflected across the y-axis then the x value will change signs
