y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards
Answer:
Yes
Step-by-step explanation:
To find the answer, you just have to plug the (x,y) values into the equation to see if it is true.
3(1) > 5(-6) -12
3 > -30 -12
3 > -42
Since 3 > -42 the ordered pair is a solution to the inequality