8. at a local car dealer, the ideal selling price of a car is $22,000. the dealer allows this
price to vary by 4.5% . (hint: you may need to determine what 4.5% of $22,000 is to
determine the price variance.)
a) create an absolute value inequality to model the price of the car(x).
b) what is the range of price this dealer can sell this car?

$22,990<Selling price < $21,901

Step-by-step explanation:

The ideal Selling price of the car=$22,000

Variance = 4.5%

4.5%=0.045

Variance = 4.5% of $22,000

= $990

Hence $990 can be increased or decreased from the ideal selling price of the ca.

The selling price of the ca can be

1. $22,000+$990=$22,990

2. $22,000-$990=$21,901

the inequation can be written as

$22,990<Selling price < $21,901

the answer is the third / last answer

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .