Answer:
3x² - 21x + 30
Step-by-step explanation:
y = 3(x - 5)(x - 2) ← expand factors using FOIL
= 3(x² - 7x + 10) ← distribute parenthesis by 3
y = 3x² - 21x + 30 ← in standard form
Total= $80
Each glue stick= $1.40
Each box of crowns= $0.59
30 gluesticks= 30x1.40= $42
32 boxes of crowns=
32x0.59= $18.88
42+18.88= $60.88
$80-$60.88= $19.12
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1 =
-1-2/4-0=
-3/4
First find all of the factors of 6. They are 1, 2, 3, and 6. The probability of anything is the number of possible outcomes divided by the total number of outcomes. The possible outcomes for factors of 6 are 1, 2, 3, and 6. There are 4. The total number of outcomes is 8, listing all of the integers 1-8. Therefore, the probability is 4/8 or 1/2. This can also be written as 50%.
Answer:
Each property is mentioned with the corresponding expression.
Step-by-step explanation:
Writing the property in front of every expression:
1. Additive Identity: 11+0 = 11
2. Associative Property of Multiplication: x*(y*z) = (x*y)*z
3. Additive Identity: 8+(-8) = 0
4. Commutative property of Addition: 14+20=20+14
5. Multiplicative Inverse: 2*1/2 = 1
6. Multiplicative Identity : 22*1 = 22
7. Associative Property of Addition: (19+12)+8=19+(12+8)
8. Commutative Property of Multiplication: a*9=9*a
9. Distributive Property: 7(4+11) = 7(4)+7(11)