Answer:
y = -x + 5
y = x/2 + 3/2
Step-by-step explanation:
First we calculate the slope as difference between coordinates
a) P₁ ( -1 , 6 ) P₂ ( 3 , 2 )
m = Δy/Δx ⇒ m = ( y₂ - y₁ ) / ( x₂ - x₁ ) ⇒ m = (2 -6 ) / (3 -(-1))
m = -4 /4
m = -1
Now we have:
y - y₁ = m ( x - x₁ ) ⇒ y - 6 = (-1) ( x - (-1))
y - 6 = -1 * ( x + 1 ) ⇒ y - 6 = - x - 1
y = -x + 5
In the second case
Q₁ ( -3 , 0 ) Q₂ ( 5 , 4 )
Again we calculate the slope
m = Δy / Δx ⇒ m = ( 4 - 0 ) / ( 5 - (-3)) ⇒ m = 4 / 8 ⇒ m = 1/2
m = 1/2 or x = 0,5
And
y - y₁ = 1/2 ( x - x₁ ) ⇒ y - y₁ = 1/2 ( x - (-3)) ⇒ y - 0 = 1/2 * x + 3/2
y = x/2 + 3/2
4{8.2+3.7(4.4×8.8 -18.86)}=
4(8.2+3.7(38.72-18.86))=
4(8.2+(3.7)(19.86))=
4(8.2+73.482)=
(4)(81.682)=
326.728
4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes
total of yes and no votes : 5019 + 2868 = 7887
Answer:
88 hours on dump truck
24 hours on fire engine
Minimum cost is $3480
Step-by-step explanation:
D > 0; f >0
Plant A : 10d+5f >100
Plant B: 5d +15f >800
Cost:
C(x,y)+30D+35F