Factorization of
x²+6x+5

(x +1) (x + 5)

Step-by-step explanation:

Factorization of x²+6x+5

To factorise this quadratic expression we'll find 2  factors of 5 that when added gives the coefficient of x which is

Factors = +1 and +5

Sum = +6, product = +5

Rewriting equation

x² + x + 5x + 5

Factorising

x ( x +1) +5 ( x + 1)

(x +1) (x + 5)

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1.  (r - c) (3)  =   r(3)  - c(3)  =

r(3)  =  (3)^2+5(3)+14   = 38

c(3) =  (3)^2−3(3)+4  =    4

So   r(3)  - c(3)   =   38  - 4   =    34

The store makes a profit of $3400 in the third month of business

2.  (p * c) (2)   =  p(2) * c(2)  =

p(2)  = 100−2(2)   =  96

c(2)  = 50+5(2)  =  60

So

p(2) * c(2)   =   96 * 60  =  $5760  when the price per customer  = $60

Step-by-step explanation: