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:
la respuesta es 480
Step-by-step explanation:
(-8)(-15)=8*15=120
120*(4)
480
A = 1/2 BH
#17
B = 3 H = 4
A = 1/2 BH
A = 1/2 (3)(4) = 6
#18
B = 6 H = 4
A = 1/2 BH
A = 1/2 (6)(4) = 12
#19
B = 12 H = 8
A = 1/2 BH
A = 1/2 (12)(8) = 48
#20
B = 11 H = 5
A = 1/2 BH
A = 1/2 (11)(5) = 27.5
First you find the total number of females:
3+4+6+3= 16
Then you take the female seniors and divide them by the total number of females to get the probability of a female being a senior:
3/16=0.1875≈ 19% of females are seniors!
Answer:
The equation has infinite solutions
Step-by-step explanation:
we have
Solve for z
The equation has infinite solutions
For any value of z the equality will be satisfied