An inequality can be formed by simply translating the problem statement to numerical expressions.
From the problem we know that
added with
hours should be equal or greater than
(helpful insight from the keyword "at least"). Therefore, it's inequality would look like:
(>= is used instead of ≥ for constraints in formatting)
The inequality above best models the situation.
Answer:
C) HH, HT, TT, TH: 1/4
Step-by-step explanation:
The is a 1/4 chance of flipping Heads Twice.
I'll solve it by substitution instead of graphing.
x + y = 2
y = (1/2)x + 5
Substitute equation 2 into equation 1.
x + (1/2)x + 5= 2
(3/2)x + 5 = 2
(3/2)x + 5 - 5 = 2 - 5
(3/2)x = -3
(2/3) * (3/2)x = -3 * (2/3)
x = -2
x + y = 2
-2 + y = 2
y - 2 = 2
y - 2 + 2 = 2 + 2
y = 4
x = -2
y = 4
(-2,4)
Your answer is B) (-2,4).
Combine like terms: y=5x+4 and y=4x+1. Sub one in: 4x+1=5x+4. -1x=3. X=-3. Sub into other one: y=4•-3+1. Y=-12+1. Y=-11. Check it: -11=5•-3+4. -11=-15+4. -11=-11. So X=-3 and Y=-11 :)
Minus 4x from both sides
x+3=0
minus 3 from both sides
x=-3
