Answer:
Step-by-step explanation:
-2x² + 12x + 32 = 0
discriminant = 12² - 4(-2)(32) = 400
positive discriminant means there are two distinct real roots
x = [-12 ± √(12² – 4(-2)·32)] / [2·(-2)]
= [-12 ± √400] / (-4)
= [-12 ± 20] /(-4)
= 8, -2
Answer:
TW +DW
Step-by-step explanation:
Answer:
8 is correct.
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Answer: Hillary would have to invite 15 people before the cost of having the party at Hotel B is less than the cost of having a party at Hotel A
Step-by-step explanation:
Let x represent the number of guests that Hillary would invite.
The banquet hall at Hotel A will cost $431 to rent the room and $38 per guest. This means that the total cost of hosting x guests at hotel A is
38x + 431
The banquet hall at Hotel B will cost $747 to rent the room and $16 per guest. This means that the total cost of hosting x guests at hotel B is
16x + 747
For the cost of having the party at Hotel B to be less than the cost of having a party at Hotel A, it means that
16x + 747 < 38x + 431
747 - 431 < 38x - 16x
316 < 22x
22x > 316
x > 316/22
x > 14.36
One hundred nineteen million and three
