As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 12%. The price of a book can be modeled by the equation below, where P = the price of the book, 50 is the printing charge, 0.6 is the charge per page, and x = the number of pages: (1 point) P = (50 + 0.6x) + 0.12(50 + 0.6x) Chris wants to purchase a book but only has $80 to spend. What is the maximum number of pages she can have in her book? x = pages

35 pages

Step-by-step explanation:

First simplify the equation.

P = (50 + 0.6x) + 0.12(50 + 0.6x)

P = 50 + 0.6x + 0.12*50 + 0.12*0.6x

  = 50 + 0.6x + 6 + 0.072x

   = 50 +  6 + 0.6x + 0.072x   {Combine the like terms}

P = 56 + 0.672x

Amount that Chris has with him is $ 80

56 + 0.672x = 80

0.672x = 80 - 56

0.672x = 24

x = 24/0.672

x = 35pages

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)