Step-by-step explanation:
f(g(x))=(3x+1)^2 +2(3x+1) -4
=9x^2 +6x +1 +6x +2 -4
=9x^2 +12x +(-1)
We know that charges vary with the days of the week. E.g. Go-karting costs higher ($10) on Saturday and Sunday compared to on Monday to Friday ($5)
We need to know if the cost is a function of the activity type ?
We know that the cost varies with the day. So the cost is a function of the day of the week. On weekdays the function yields a lower value, whereas on weekends it yields a higher value.
Since the cost for a particular activity is changing and not staying constant, <u>hence the cost is not a function of activity type.</u>
<span>The graph would be translated 5 units right and 1 unit up, giving an upward facing parabola with a vertex at (5, 1).
Explanation:
Since 5 was subtracted from x before it was squared, this means a horizontal translation 5 units. Since it was subtracted, this means it was translated right 5 units.
The 1 added at the end means it was translated 1 unit up as well.
This is in vertex form, y=a(x-h)^2 + k, where (h, k) is the vertex; h corresponds with 5 and k corresponds with 1, so the vertex is at (5, 1).</span>
The formula for volume of a sphere is V = 4/3 x PI x r^3
r is 1/2 the diameter = 9 inches.
Volume = 4/3 x 3.14 x 9^3 = 3,052 cubic inches.
