Explanation
Given a function f(x) we translate the function:
• a units horizontally (a > 0 to the right, a < 0 to the left),
,
• b units vertically (b > 0 up, b < 0 down),
by the transformation:
In this case, we have:
Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:
• a = 2 units to the right,
,
• b = 4 units up.
Translating the graph of f(x), we get:
Answer
The translated graph is the graph in red:
Let Bea = x
Therefore Andrew = x + 2
Chris = x - 3
Andrew * Chris = 66
(x + 2)(x - 3) = 66 Remove the brackets.
x^2 + 2x - 3x - 6 = 66
x^2 - x - 6 = 66 Subtract 66 from both sides.
x^2 - x - 72 = 0
(x - 9)(x + 8) = 0
Find the possible values of Bea's age
x - 9 = 0
x = 9 That value works. She can be plus 9 years old.
x + 8 = 0
x = - 8. There's no way she can be - 8 years old
So Bea is 9.
9 <<<<<< Answer
Answer:
1/ (1000x^3)
Step-by-step explanation:
yes
Answer:
17
Step-by-step explanation:
32^3/5 = 8
64^2/3 = 16
81^1/4 = 3
49^1/2 = 7
125^2/3 = 25
now just put them in order from the smallest value to the largest
