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
1.
A. (49-8)*2-16, 41*2-16, 82-16, 66, yep
B. 49-8*-14, 49+112, 161, nope
C. 7^(-16)-16, (1/(7^16))-16, nope
D. 49-16-16, 17, nope
A is answer
2.
2((a+b)²-b)
2((7+1)²-1)
2((8)²-1)
2(64-1)
2(63)
126
C is answer
4.
none of the options give the answer
B = √(14² - 9²) = √(196-81) = √115 ≈ 10.7 units
Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X 
uniform(3.17)
The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:
![P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%20%5CBig%20%5Bx%20%5CBig%20%5D%20%5E%7B17%7D_%7B5%7D)
![P(X > 5) =\dfrac{1}{14} [17-5]](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%5B17-5%5D)
P(X>5) = 0.857
Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
