Rearrange to
6ab+21b-8a-28 now factor 1st and 2nd pair of terms...
3b(2a+7)-4(2a+7)
(3b-4)(2a+7)
So it is the third one down...
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
Ok so basically it will be 4 x 3 = 12 which leaves $24 ok then you divide 24 by 2 and you get 12 so the amount of brushes that can be purchased is 12.
Answer:
X=1, P = 0.091
X=2, P = 0.124
X=3, P = 0.115
X=4, P = 0.378
X=5, P = 0.264
X=6, P = 0.028
Step-by-step explanation:
To calculate the probability distribution of X, first we have to define the sample space.
In this case X=1,2,3,4,5,6. This are the values that X can take.
The probability is calculated as equal to the relative frequency of each of the values.
For X=1, P = 364/4000 = 0.091
For X=2, P = 496/4000 = 0.124
For X=3, P = 460/4000 = 0.115
For X=4, P = 1512/4000 = 0.378
For X=5, P = 1056/4000 = 0.264
For X=6, P = 112/4000 = 0.028
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
the all must pay 0.65 each
