Lisa and Daisy work at a hair salon. The salon charges $21 for a hair styling session with Lisa and $17 for a session with Daisy.

Their income on a certain day is projected to be $357. This situation can be represented by the equation 21x + 17y = 357, where x is the number of Lisa's customers and y is the number of Daisy's customers.

(Technical details: x ≥ 0, y ≥ 0, and x and y take only integer values.)

How many customers would Lisa need to serve to attain the projected income if Daisy calls in sick that day?

Lisa would need to serve 17 customers to attain the projected income.

Step-by-step explanation:

Their income on a certain day is projected to be $357.

This situation can be represented by the equation 21x + 17y = 357, where x is the number of Lisa's customers and y is the number of Daisy's customers.

On a day that Daisy is sick, the income from Daisy would be zero. For Lisa to attain the projected income of $357, the equation becomes

21x + 0 = 357

21x = 357

x = 357/21

x = 17

- 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

if farmer matt works for 8 hours a day, how many days will it take him to completely plant 12 rows of crops? each batch of cookies needs 3/4 cups of sugar.

step-by-step explanation: