Log of 2x cube - log x = log 16 +log x
Use the identities!
Log 2x square = log 16x
2x square = 16 x
2x sqr - 16x = 0
2x(x-8) = 0
X = 0 or 8
According to logarithms x can’t be 0 so it’s 8
Answer:
Step-by-step explanation:
The highest power of x here is 3, so this is a third degree polynomial. Since the coefficient of the highest power term is +, we know that the graph approximates that of the parent function y = x^3, and that this graph begins in Quadrant III, enters Quadrant I and continues to move upward in Quadrant I.
Answer:
The reconciled balance =32900.10 which tallies with bank balance.
Step-by-step explanation:
Given that the bank statement of Ali Co. indicated a current balance of $32,900.10
But the cheque book balance is only 34509.11
We do reconciliation as follows:
Cheque book balance 34509.11
Less: Deposit in transit not cr. 6821.11
Net balance 27688.00
Add: cheque no 600 not presented 3988.33
31676.33
Add: Interest earned by Ali 1333.88
Less: NSF 110.11
Balance as per bank 32900.10
The reconciled balance =32900.10 which tallies with bank balance.
Answer:
221.87 feet
Step-by-step explanation:
Given that,
A 525 ft cable runs from the top of an antenna to the ground.
The angle of elevation made by the ground to the top of an antena 25°
We need to find the height of the antenna.
Using trigonometry,
Hypotenuse, H = 525 ft
θ = 25°
So,
So, the height of the antenna is equal to 221.87 feet.
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
