Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
To find your answer you would need to add both colors(blue and green)
to do this you need to make the denominators the same :
24 is a number we can get 8 and 6 to :
1×4=4
6×4=24
5×3=15
8×3=24
your new fractions are 4/24 and 15/24, now we can add them :
4+15=19
and 24 stays the same
your answer is 19/24 (you can not simplify this)
hope this helped
Step-by-step explanation:
Variable x = number of copies
6.50 <= 0.45x
Divide both sides by 0.45
6.50 ÷ 0.45 <= 0.45x ÷ 0.45
14.4444.... <= x
No more than 14 copies
6.50 <= 0.45x
6.50 <= 0.45(14.444)
Answer:
V = 23π/6
Step-by-step explanation:
V = 2π ∫ [a to b] (r * h) dx
y = −x² + 23x − 132
y = −(x² − 23x + 132)
y = −(x − 11) (x − 12)
Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12
r = x
h = −x² + 23x − 132
V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx
V = 23π/6
