The Wild Dogs and the Rattlers also have membership programs. The Wild Dogs' initial fee is $20 and single game tickets are $1.50. The Rattlers' initial fee is $14 and single-game tickets are $2.25. The system of equations for this scenario are y = 1.5x + 20 and y = 2.25x + 14, where x=tickets purchased and y=total cost. What is the best window range of x-values to find the solution?

x-min=0, x-max=20
x-min=-5, x-max=5
x-min=20, x-max=40
x-min=-20, x-max=0

What is the best window range of y-values to find the solution?

y-min=0, y-max=20
y-min=-5, y-max=5
y-min=20, y-max=40
y-min=-20, y-max=0

What is the solution?

8 games will cost $32
32 games will cost $8
12 games will cost $38
38 games will cost $12
​

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4? a.)y-3 = 1/16 (x-2)^2 b.)y+3 = -1/16 (x+2)^2 c.)x-2 = 1/16 (y-3)^2

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?