Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Base - i cant tell if it’s multiplication or a decimal but if it’s a decimal base is 3.4 if it’s multiplication 12
height - 3.52
area - 1/2 x 3.4(might be 12) x 3.52 = 5.984
-5x + 2 > -38
-5x > -40
x < 8
-5x + 2 < -8
-5x < -10
x > 2
so the inequality becomes
2 < x < 8
so the graph will be a straight line with open circles on 2 and 8 and shading in between these values.
Answer:
Step-by-step explanation:
list of prime numbers from 1-21
2,3,5,7,11,13,17,19
he has 21 students
the only numbers he can divide by is 3 and 7
21/3=7
21/7=3
