Consider the function f(x)=log(6)(13-9x). Give the domain of the function f(x) in interval notation.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Julie buys 2kg of apples and 7kg of pears ? 12.70. the pears cost ? 1.30 per kilogram what is the price per kilogram of the apples? show your working out