3i+y=5+5i solve for i

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

What are the domain and range of the function f(x)=2^x+1

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?