Secret Agent Pablo the Penguin needs to collect precious jewels to stop the evil Tyrone from taking over the world. The jewels must be some combination of diamonds and rubies, as they are the only ones that will satisfy Queen Tasha. The diamonds are each worth $9 and the rubies are each worth $5, and together they must have a total value of no more than $50. Pablo must collect at least 3 diamonds and at least 2 rubies. a. Write and graph a system of inequalities that will save Tyrone from taking over the world.
b. What is one combination of jewels that would satisfy queen Tasha?

In a circle, a 45° sector has an area of 32π cm2. what is the radius of this circle? 32 cm 12 cm 16 cm 8 cm

Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave