Write and graph a system of inequalities that models the situation. miranda just got an after school job at a kiosk. she's planning out how much time she needs
for her job, and how much time she needs for school. she wants to work at least 10 hours a
week at the kiosk, and at least 12 hours a week on homework/studying. after deducting time in
school, miranda has about 36 hours of free-time a week (including weekends). what is the
feasible region for her schedule?

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

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

Describe the end behavior of the function below. f(x)=(2/3)^x-2 a. as x increases, f(x) approaches infinity. b. as x decreases, f(x) approaches 2. c. as x increases, f(x) approaches -2. d. as x decreases, f(x) approaches negative infinity.