Solving a System of Linear Equations - Applications - Item 92238
A car wash charges two prices depending on the size of the vehicle. The table shows
the number of cars and the number of SUVs washed in the past 3 hours. The total
earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV
costs the same price. The system of equations can be used to represent the situation.
Use the drop-down menus to complete each statement.
In the storf

$132

Step-by-step explanation:

1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs

2) From the given eqn,

y = (84 - 4x)/2

and

y = (126 - 3x)/5

equating both the equation,

(84 - 4x)/2 = (126 - 3x)/5

=> 210 - 10x = 126 - 3x

=> 7x = 84

=> x = 12

=> y = (84 - 48)/2 = 18

Hence the co-ordinate of intersection will be (12,18)

3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30

4) The total earning of hour 3

= 5x + 4y

= 5.12 + 4.18

= 60 + 72

= $ 132

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."