Answer:
The equation of the line would be y = -4x - 3
Step-by-step explanation:
To find any equation when you have the slope and a point, start with point-slope form and then solve for y.
y - y1 = m(x - x1)
y - 5 = -4(x + 2)
y - 5 = -4x - 8
y = -4x - 3
Let s, m, L represent the number of small, medium, and Large cups of coffee Kyle filled.
s +m +L = 35 . . . . . . . . . . . . . . . served 35 cups
10s +14m +20L = 544 . . . . . . . . using 544 ounces of coffee
.95s +1.15m +1.50L = 43.60 . . . while collecting $43.60
Solving these 3 linear equations in 3 unknowns by your favorite method, you find
Kyle filled 6 small cups (10 oz)
Kyle filled 16 medium cups (14 oz)
Kyle filled 13 Large cups (20 oz)
_____
Elimination is a reasonable way to start. Subtract 10 times the first equation from the second, and 0.95 times the first equation from the third. Then you have
4m +10L = 194
.2m +.55L = 10.35
Now, you can subtract .05 times the first of these equation from the last to get
.05L = .65
L = 13
Back-substituting gets you the values of the other variables.
Yes, it would be division because you would divide by -3 to get x by itself.
Answer:
31.5 i think
Step-by-step explanation:i used multi if its wrong im so sorry
Step-by-step explanation:
The number of subsets=2ⁿ where n=4 members
2ⁿ=2⁴=16
Number of proper subsets=2ⁿ-1
16-1=15
