Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
im pretty sure its the 3rd one
X-3=66
x=69
69+41+(y-9)=180
110+y-9=180
101+y=180
y=79
Answer:
22 
× 
= 125 .71
Step-by-step explanation:
22 ×
={[ ( 22 × 7) + 6] ÷ 7 } ×
= 
×
= 
= 
= 125 .71
The set of rational plus irrational numbers equals ALL REAL NUMBERS
Yes, it is a function because every x-value maps into only one y-value. In other words, because rational and irrational are mutually exclusive, x does not map into both 0 and 1
Domain is all real numbers.
Range is 0 or 1
y-intercept happens when x=0, so that is a rational number and y = 1
There are an infinite number of x-intercepts. Every irrational number is an x-intercept
Neither even or odd because it is not symmetric with either the y-axis or the origin.
The graph jumps between y=0 and y=1
Hope that helps Answer:
Step-by-step explanation:
