B intersect C = {6}
A intersect {6} = { }
The empty set
Letter C
Answer/Step-by-step explanation:
a. x(x - 3) + 2(x - 3)
x*x + x*-3 + 2x + 2*-3 (distributive property)
x² - 3x + 2x - 6
Add like terms
x² - x - 6
b. 2x(x - 4) -3(x - 4)
2x*x + 2x*-4 -3*x -3*-4 (distributive property)
2x² - 8x - 3x + 12
Add like terms
2x² - 11x + 12
c. x(x - 2) + 2(x - 2)
x*x + x*-2 + 2*x + 2*-2 (distributive property)
x² - 2x + 2x - 4
Add like terms
x² - 0 - 4
x² - 4
I think that x^2-9 (difference of 2 squares), 216x^3 +729 (sum of 2 cubes), and the other two are none
Not entirely sure
Answer: he needs to buy one less veggie cup
Step-by-step explanation:
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
