Answer:
g(x) = (x + 6)^2 - 5
Step-by-step explanation:
To translate f(x) to the left by 6 units, replace x with x+6.
To translate f(x) down 5 units, replace f(x) with f(x)-5.
Together, these replacements give you ...
... g(x) = f(x+6) -5
... g(x) = (x +6)^2 -5
The discontinuity occurs at x = 0, since that is the only "problem" place in the graph that makes the function undefined. A vertical asymptote exists there. It is nonremoveable.
Width: x
Length: 3x
Perimeter=x+x+3x+3x=8x
8x=400
x=50
Dimension is 150×50 feet (length × width)
the zero(s) of function
is x=2
Step-by-step explanation:
We need to find the zero(s) of function algebraically.
We are given: 
To find the zeros we put the function equal to zero.

So, the zero(s) of function
is x=2
Keywords: zero(s) of function
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15-b=4b-5(5-3)
Multiply the bracket by -5
(-5)(5)=-25
(-5)(-3)=15
15-b=4b-25+15
15-b=4b-10
Move 15 to the other side
Sign changes from +15 to -15
15-15-b=4b-10-15
-b=4b-25
Move 4b to the other side.
-b-4b=4b-4b-25
-b-4b=-25
-5b=-25
divide both sides by -5
-5b/-5=-25/-5
Answer: b=5