Answer:
r<=-8 or r is less than or equal 8
Step-by-step explanation:
-2r+3>=19
-2r>=16
r<=-8
you flip the sign when the variable is a negative. To plot this on a number line place a close circle on -8 moving to the left direction.
Answer:
Step-by-step explanation:
She has 36 yards of material.
She needs 1 1/3 + 1/6 for each place setting
1/3 + 1/6 = 1/2
She needs 1 1/2 yards of material for each setting
1 1/2 = 1.5
She has to divide 36 by 1.5. If there is anything left over, it becomes scrap to be used for her next project.
You can use the following formula
- # settings = Total material/setting length
- # settings = 36/1.5 = 24
She can make 24 settings with nothing left over.
2y² + y - 3
(2y+3)(y-1)
2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3
2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2
y - 1 = 0
y = 1
2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0
