<span>reflection over the x-axis and a translation 4 units down
Refelcting f(x) over the x axis gives
-f(x)=-3x-1
Subtracting a constant from -f(x) moves the graph of -f(x) that many units down.
-f(x)-4=-3x-5=g(x)
This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
Answer:
Third choice
Step-by-step explanation:
The value of theta = 288.4349488
Answer:
Step-by-step explanation:
ab < a
since a is negative, when you divide by a, you must change the direction of the inequality.
b > 1
The volume formula for a cone is V = 1/3 pi r^2 h. We have everything we need to find the volume. V = 1/3 pi 28^2* 44. Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed. If you multiply pi in, the answer would be 36,123.06 units cubed.
