A company that manufactures computers first pays a start-up cost to advertise their product on the radio, and then spends a certain amount of money for each commercial. If the cost of running advertisements is given by the function a(x) = 500x + 1000, explain what 500, x and 1000 represent in the equation in the context of the situation.

James purchased a $205,000 home with a 30-year mortgage at 5.78%. if makes a $1500 monthly mortgage payment, how many months early will he pay off his mortgage? a. 180 months b. 224 months c. 127 months d. 136 months

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

[10 points, algebra 2-simplifying complex fractions]according to my answer key the restrictions are -1 and 4. but why not positive 1?