10 to the sixth power is 1,000,000. Any number to the tenth power is the number 1 in front of the number of zeros that is equal to the exponent.
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
As soon as I see the word "Which ...", I know that there's a list of choices that
goes along with this question, but you decided not to share them. So there's
no way for me to help you choose the correct one.
In order to form a proportion with 3/4, you need another fraction (or ratio) that's
equal to 3/4 . Look for a fraction whose numerator is 3/4 of its denominator.
Here are a few examples:
-- 6 / 8
-- 24 / 32
-- 300 / 400
-- 12 million / 16 million
-- 3x / 4x
-- 15abc / 20abc
-- 3(x+y+z) / 4(x+y+z)
The answer be negative 158 or -158
Answer:
Step-by-step explanation:
subtract 3 from both sides
divide each term by 6
simplify
