Anderson has $50 in his savings account. he deposits $5 every week. his father also deposits $20 into the account every time anderson mows the lawn. his savings account balance can be shown with the following expression:

50 + 5w + 20m

part a: identify a coefficient, a variable, and a constant in this expression. (3 points)

part b: if anderson saves for 10 weeks and mows the lawn 2 times, how much will he have in his account? show your work to receive full credit. (4 points)

part c: if anderson had $85 in his savings account, would the coefficient, variable, or constant in the expression change? why? (3 points)

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)

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.