Answer:
f(x) = -5x-3
Step-by-step explanation:
f(x) = ax + b
f(2)=-13 & f(-3) =12
2a + b = -13
-3a+ b = 12
_________-
5a = -25
a = -5
b= -13+10= -3
so the formula of f(x) = -5x -3
1 gallon of water= 3.79 liters of water
1 liter of water makes 4 1/3 glasses of water
C(x) = 1200(40) + 100
or
= mx+c
where m = 1200, x = 40, y = 100
hope it helped,
click thx if it did.
Answer:

Step-by-step explanation:

Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign

Collect like terms

Subtract 4.5 from 18

Divide both sides by 4.5

Calculate

Hope I helped!
Best regards! :D
Answer:
Step-by-step explanation:
There are 20 ballots, 8 have drawn a car the rest are white.
Find the probability to extract at least one ballot with the drawing of a car if not replaced:
1. If a ballot is taken out:
8 have drawn a car: thus we have 8/20 = 2/5
2. If two ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car. Thus we have
8/20 * 7/19 = 56/380 = 14/95
3. If three ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car leaving 6 out of 18 remaining. The 6/18 is the probability of drawing out a third ballot with the drawing of a car.
8/20 * 7/19 * 6/18 = 42/855