Rewrite the rational function g(x) =x-9/x in the form g(x) = c+ r/x, where c and r are constants.

Step-by-step explanation:

Given the rational function g(x) =(x-9)/x, we are to express in the form g(x) = c+ r/x, where c and r are constants.

g(x) = (x-9)/x

Expressing as partial fraction since they have the same denominator

g(x) = x/x - 9/x

Since x/x = 1, hence;

g(x) = 1 - 9/x

Comparing with g(x) = c+ r/x, c= 1 and r = -9

Hence the equivalent expression is g(x) = 1 - 9/x

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.