Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items he bought and the cost of each in pesos

36 pencils

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is

Since all but 6 items were sold, the total selling price is:

This amount can be used to buy 30 more items.

So, we have:

Multiply both sides by 180

Expand brackets

Equate to 0

Expand

or

or

Since, number of items can't be negative, we have to discard x = -210.

Hence:

We can then conclude that, Mr. Javier purchased 36 pencils

Recall that

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

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