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
Answer:
10+8x=y
Step-by-step explanation:
The 10$ is added on because it's a one time exchange and the 8 is multiplied by the x because for every hour you add 8$ to the price and y is the total price at the end depending on x.
So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
The answer is 10 as the diameter because it says to estimate pi as 3. Since we know the circumference is 30 we can reverse it to find the diameter, since Circumference is pi time diameter.
The scooter travels at 15 ft/s
at 3 seconds, it travels 45 feet
4 seconds, 60 feet
5 seconds, 75 feet
