Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at one dealer she would pay 2,250 down and 150 each month. at another dealer , she would pay 2,950 down and 125 each month. after how many months would the total amount paid be the same for both dealers ? what would the amount be ?
after ( ) months kenya will have paid $ ( ) for the bike at either dealer.

See below in bold.

Step-by-step explanation:

Let the number of months he needs to pay be x , then

2250 + 150x  = 2950 + 125x

50x = 2950 - 2250 = 700

x = 700 / 50

x = 14.

So the total amount is paid off in 14 months.

This amount =  2250 + 150 * 14 = 4350.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2