The equation of a line in point slope form =
To put
into function notation, we need to get y by its self.
Lets say we had a point (2,2) and a slope of 3. Ok, now that we have our point and slope, lets turn point slope form into function notation.
Change the y to f(x)
<-----Function notation.
Answer:
When x = 3, use -3x -2
-3(3) - 2 = -9 - 2 = - 11
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
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
Answer:
For the parallelogram to be a rectangle, at least one angle must be a right angle or a 90° angle, we know that:
13x + 34° + 10x + 10° = 90°
=> 13x + 10x = 90° - 34° - 10°
=> 23x = 46°
=> x = 46°/23 = 2°
