Answer:
x= -2 and y= 3
Step-by-step explanation:
since x = 2y -8, substitute this in the first equation
Thus, -3(2y-8) + 2y =12
-6y+24+2y=12
-6y+2y=12-24
-4y=-12
y=3
put the value of y in the second equation,
x=2y-8
x=2(3)-8
x=6-8
x=-2
So, x=-2. y=3
Answer: 
Step-by-step explanation:
Given



from the figure, we can write

Answer:
5x+6
Step-by-step explanation:
(1/3*9x)+(1/3*16)+(1/3*2)+2x=
3x+16/3+2/3+2x=
5x+18/3=
5x+6
I’m not sure if I am correct ,
Informally, each hour of overtime is like 2.5 hours of regular time, so 8 hours of overtime is like 8*2.5 = 20 hours of regular time.
So her $1470 earnings are for 40+20 = 60 hours of work.
Her regular hourly wage is 1470$/60=24.5 dollars
40(x)+8(2.5x)=1470
40x+20x=1470
60x=1470
X=1470/60
X=24.5 dollars
Answer =24.5$
Answer:
y=-1/2 x^2+3/2 x+9
Step-by-step explanation:
The equation of parabola is:
y=ax^2+bx+c
We know that parabola has three poibts
(6,0),(-3,0) and (1,10).
So we put these three points in equation:
a*36+b*6+c=0......(1)
a*9-3b+c=0........(2)
a+b+c=10........(3)
(1)-(2) we have:
27a+9b=0.....(4)
(2)-(3) we have:
8a-4b=-10.....(5)
4(4)+9(5) we got:
180a=-90
a=-1/2
From (4) we got: b=27/18=3/2
From (3) we got: c=10+1/2-3/2=9
So equation is:
y=-1/2 x^2+3/2 x+9
You can see the picture of parabola through three points.