6 Kathryn puts some red, white, blue and pink counters in a bag. She gives the bag to
Clive, who takes a counter out at random, records the colour, and then puts it back
After some time Clive concludes that the probabilities for each colour are
red: 36% white: 34% blue: 3
Kathryn tells him there are fewer than 100 counters in the bag.
Work out how many counters of each of the colours are in the bag.
pink 7/10

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: