ERRE 3
RIVERS, DAMIR
A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price.
What is the total percentage discount on the shirt?

The total percentage discount was 19%

Step-by-step explanation:

Percentages

Suppose the original price of the shirt was x.

A discount of 10% reduces the price by:

10*x/100 = 0.1x

Thus, the discounted price is:

x - 0.1x = 0.9x

The second discount reduces the price by:

10*0.9x/100 = 0.09x

The new discounted price is:

0.9x - 0.09x = 0.81x

With respect to the original price, the last discounted price has been discounted by:

x - 0.81x = 0.19x

This means the total percentage discount was 0.19*100 = 19%.

The total percentage discount was 19%

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18