Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.
Top:
36 + 2(3)
36 + 6
☆42
bottom:
36 - 4(2)(3)
36 - 24
☆12
Answer:
About $4.46
because you can't pay 4.466666667
Step-by-step explanation:
6 people
4 tacos------$5.00
2 burgers--$5.30
4 fries-------$9.00
6 juices-----$7.50
_______________
food ---------$26.80
divide $26.80 by the number of people so 6 then you get 4.466666667 and have to round up
Answer:
Step-by-step explanation:
√3(√6+√15)
3√2+3√5
2√3+3√5
3√7
3√2+9√5
