Abag contains 40 balls, some of which are red, some of which are yellow and the rest are black. the
respectively
probabilities of drawing a red ball and a yellow ball at random from the bag are
(i) fond the probability of drawing a black ball at random from the bag.
(2x + 1) red balls and (x + 2) yellow balls are added to the bag while (x - 3) black balls are removed from the bag. the probability of drawing a yellow ball at random from the bag is now 3/7.find
(ii) an expression, in terms of x, for the total number of balls in the bag now,
(iii) the number of yellow balls in the bag now.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

pls refer ro the top for answer

answer is because 4×10=40

and 98×4= is 392

40,392

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.