Janetta ran a campaign for student body president, and she really wanted to win. She gave election buttons to everyone and told them how much she appreciated their friendship. Then Janetta told each person that she hoped for a vote. Are Janetta's actions altruistic? a. Yes, because she gave a gift and expressed her appreciation. b. No, because she is hoping that people will vote for her. c. Yes, because her kind compliments probably made others feel good. d. No, because running for president always means people are dishonest.

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .