Answer:
z=-1
Step-by-step explanation:
First combine the like terms: -4z-11z+2z-(-6z)=-4z-11z+2z+6z=-15z+8z=-7z
Then solve after combining like terms:
The total distance of the route is 112miles.
Step-by-step explanation:
Let us consider the total distance of the route to be 'y'.
Given that,
The distance from Boston to the passengers station = (1/3) y
The passenger got down at a station after beyond his station which is 14 miles away and the remaining route from that station is (13/24) y
So the travelled route = y - (13/24) y
= (11/24) y
The travelled route is from Boston to a station beyond 14miles of his station.
We can write the above as,
(11/24) y = (1/3) y + 14
(11/24) y - (1/3) y =14
(11y - 8y) /24 = 14
3y/24 = 14
y/8 = 14
y = 14 x 8
y = 112 miles
The total distance of the route is 112 miles
Answer:
4(x-6)(x-1) = 0
Standard form: 4x^2-28x+24=0
Step-by-step explanation:
First, let's write an equation where the roots are 6 and 1.
To do that, we can use the intercept form <em>a(x-p)(x-q) = 0</em>, where <em>a</em> is the leading coefficient, and <em>p </em>and <em>q</em> are the roots.
We can therefore plug what we know into this equation:
4(x-6)(x-1) = 0
Standard form is ax+by=c
normally a is positive and a and b are integres
y=mx+b
m=slope
b=yint
y=1/2x+3
minus 1/2 x both sides
-1/2x+y=3
times -2
x-2y=-6
Answer
z= 14
Step-by-step explanation:
4( 2z-3) -5(z-6) =3 *20
8z-12-5z+30=60
3z+18=60
3z=60-18
3z=42
z= 14
