Aclothing store advertises that it is having a 25% off sale. for one day only, the store advertises and additional savings of 10%. use composition of functions to find the total percent discount. what would be the sale price of a $40 sweater?

Let assume x be the sale price

A clothing store advertises that it is having a 25% off sale.

The sale price with 25% discount is f(x) = sale price - 25% of sale price

f(x)= x - 0.25x = 0.75x

For one day only, the store advertises and additional savings of 10%.

The sale price with 10% discount is g(x) = sale price - 10% of sale price

g(x)= x - 0.10x = 0.90x

Use composition function

g(f(x)) = g( 0.75x) = 0.90(0.75x) = 0.675x

That is 0.675/100 = 67.5%

The total percent discount = 100% - 67.5% = 32.5%

what would be the sale price of a $40 sweater?

Here sale price x= 40

So we plug in 40 for x

g(f(40)) = g( 0.75(40)) = 0.90(0.75(40)) = 0.675(40) = 27

The sale price of sweater = $27

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490