Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
F(x) = x^4 + 81x^2
f(x) = x^2*x^2 + x^2*81
f(x) = x^2*(x^2 + 81) ... see note 1
f(x) = x^2*(x + 9i)(x - 9i) ... see note 2
note 1: if you haven't learned about complex or imaginary numbers yet, then you would stop at the line with "note 1" on it
note 2: you would stop here if you have learned about complex or imaginary numbers and you want to factor over the complex numbers. I used the rule that
a^2 + b^2 = (a+bi)*(a-bi)
No. Amelia wouldn't be able to go three weeks without getting the notification.
3×7=21
300÷15=20 means that in twenty days time, Amelia will have withdrawn ALL of her money.
That time period doesn't allow for Amelia to even reach the last day of the third week (21 days).
Answer:
495
Step-by-step explanation:
12C4 = 12*11*10*9/(4*3*2*1) = 495
Answer:
-4.89
Step-by-step explanation: