Find the non-permissible replacement for the variable:
2x+1
_
x+2

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

sorry for any inconvenience this may have caused try again

try again.

to find perimiter, add all the sides.

60 5/6 + 54 1/3 + 59 1/3 + 56 1/6.

goup like terms:

(60 5/6 + 56 1/6) + ( 54 1/3 + 59 1/3) = 117 + 113 2/3

56 + 60 =   116. 5/6 + 1/6 = 6/6 = 1/ 116 + 1 = 117

54 + 59 = 13. 1/3 + 1/3 =2/3. 13 + /3 = 113 2/3    

117 + 113 2/3 = 230 2/3

answer: 230 2/3