Answer:
16^6t^2+30^6+15
Step-by-step explanation:
Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
Answer:
2
Step-by-step explanation:
This is a linear function, written in the form y=mx+b, where m is the slope, or how many dollars each ticket costs in the case, and b is the initial value of the function, or in this case the cost before any tickets are added to the account.
Since 4x is the slope (4 times however many tickets one purchased), 2 is the initial value before we buy tickets.
You can also plug in 0 for x and get 
Hope I helped :D
Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
Answer:
2.5
Step-by-step explanation:
10/1 * 1/4 = 2.5