Which of the following congruences have solutions?
x^2 congruent to 8 (mod 53)
x^2 congruent to 15 (mod 31)
x^2 congruent to 54 (mod 7)
x^2 congruent to 625 (mod 9973)
can someone explain how do you tell if a congruence hasno solution? you.
(this comes as a single questions in the book, i am not tryingto ask multiple questions in one post. if this is stillbreaking the rules, i appologize for that).

Write a polynomial that fits the description: a third-degree polynomial with leading coefficient -4

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.