Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis.

Carla is saving money for a trip this summer. she already has some money in her savings account and will add the same amount to her account each week. at the end of 2? weeks, carla has? $130. at the end of 8? weeks, she has? $280. write a linear function in the form y=mx+b to represent the amount of money m that carla has saved after w weeks.

Gas is being pumped into a tank the total amount of gas g after amount of time t is given by the equation g= 50+20t if the total amount of gas that will fit into tank is 850 gallons how much time will take to fill the tank

In 1912, the original candidates for united states president were woodrow wilson and william h. taft. because of party disagreements, former president theodore roosevelt also decided to run and ended up splitting the vote with his fellow republican and incumbent, taft. in a certain state, the ratio of the popular vote of taft to roosevelt to wilson was approximately 35: 41: 63. if approximately 208,500 votes were cast in that state for the three candidates altogether, how many were cast for taft? a) 15,000 b) 45,000 c) 52,500 d) 69,500