x^2 - 3x -28 ≥ 0
factor
(x-7) (x+4) ≥ 0
x=7 x=-4
we have three regions where the answers can lie
x<-4 between -4 and 7 and x>7
pick a point and see if it works
x=-10
(-10-7) (-10+4) ≥ 0
negative * negative is greater than 0 so this is a solution x< -4
x=0
(0-7) (+4) ≥ 0
negative * positive is less than 0 so this is not a solution
x=10
(10-7) (10+4) ≥ 0
positive * positive is greater than 0 so this is a solution x>7
We have two regions that work
x<-4 and x>7
Answer:
Step-by-step explanation:
Given that St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each.
Three prizes will be awarded: 1 for S500;1 for $250; 1 for $125.
Thus total number of tickets = 1172
Of these prize winning are 3
i.e. Tickets Prize $ Net win amount Prob Net win amt*prob
1 500 (500-2) =448 1/1172 448/1172
1 250 (250-2) =248 1/1172 248/1172
1 125 (125-2) =123 1/1172 123/1172
1169 0 (0-2) = -2 1169/1172 -2338/1172
Expected value = Total -1519/1172
=-1.296
Answer:
9.49
Step-by-step explanation:
Using the Pythagorean Theorem, we know a²+b²=c².
So 3²+9²=(BA)²
9+81=(BA)²
90=(BA)²
From this, we know BA=√90
BA=9.486
Rounding to the nearest hundredth, this is 9.49
Please consider a brainliest! Thank you!
Answer:
Step-by-step explanation:
A=1/2(r+2)
2A=f(r+2)
2A/f=r+2
2A/f-2=r
Drink the water so you have none left