Answer:
44
Step-by-step explanation:
Input 8 into x
f(8)=6(8)-4
f(8)=48-4
f(8)=44
Step-by-step explanation:
The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:
From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.
Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:
P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136
A
given that y varies directly as x, then the relationship is
y = kx ← k is the constant of variation
To find k use the given condition x = 3 when y = 24
y = kx ⇒ k = 
= 
= 8
y = 8x
(x-sqrt2)(x+sqrt2)(x+2) = (x^2 -2)(x+2) = x^3 +2x^2 -2x -4
hope helped
Answer:
Hope this helps
Step-by-step explanation:
0.01988071
