1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.
That helps you to conclude:
a) The graph of f(x) has a vertex on (-4, -6)
b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.
c) The graph of f(x) opens downward
d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)
Answer: the graph of f(x) is horizontally stretched.
51) 5x-1=0 and x+6=0
5x=1, x=1/5 and x=-6
2 solutions x=1/5 and x=-6
52)x(2x+3)=0
2x=0 and 2x+3 =0
x=0 and x=-3/2=-1.5
53) x(5x-1)=0
x=0 and 5x-1=0
x=0 and x=1/5
54) z(4z+7) =0
z=0 and 4z+7=0
z=0 and z= - 7/4 = -1.75
z=0 and z=-1.75
Answer:
500
Step-by-step explanation:
Let x be the original price
Take the first discount
x - 18 percent
x - .18x = new price
x( 1-.18)
x ( .82) = new price
Now we take a 20 percent discount
This is on the discounted price, use .82x
.82x - 20 percent= 2nd discounted price
.82x - .20(.82x)
.82x -.164x
.656x= 2nd discounted price
.656x = 328
Divide each side by.656
.656x/.656 = 328/.656
x =500
The original price was 500