This is a cool one. Sequence 1 will approach negative infinity and Sequence 2 will approach 0 but never get to it!
Based on the given information, each shelf can hold 9 books. (27/3 = 9) That means 2 additional shelves will hold 18 books. Add 18 to 36 to find the total, which is 54.
Hope that helped you.
Answer:
y = - 9x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - 9, hence
y = - 9x + c ← is the partial equation
To find c substitute (1 , - 8) into the partial equation
- 8 = - 9 + c ⇒ c = - 8 + 9 = 1
y = - 9x + 1 ← equation of line
a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
