Find the difference between the existing terms:
-8 / -4 = 2
-16/-8 = 2
This means the next term is the previous term multiplied by 2:
The first term is given as -4
You would start with the first term ( -4) then multiply it by the difference of terms ( 2) raised to the nth term (n) minus 1.
An = -4 * 2^n-1
The answer is A
Answer:
Step-by-step explanation:
Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.
3/4 ? = 2(1/2)
3/4? = 1
? = 1 ÷ 3/4
? = 1 × 4/3
? = 4/3
I believe the answer is 5 • (f - 32)<span> / 9 </span>
Answer:
The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)
Step-by-step explanation:
Focus: F=(3,1)=(xf, yf)→xf=3, yf=1
Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:
f(x)=[1 / (4p)] (x-h)^2+k
where Vertex: V=(h,k)
The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:
Vertex is the midpoint between (3,5) and (3,1):
h=(3+3)/2→h=6/2→h=3
k=(5+1)/2→k=6/2→k=3
Vertex: V=(h,k)→V=(3,3)
p=yf-k→p=1-3→p=-2
Replacing the values in the equation:
f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3
f(x)=[ 1 / (-8) ] (x-3)^2 + 3
f(x)= - (1/8) (x-3)^2 + 3
