Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
0 (0, 1)
0 (0,4)
O (1.0)
O (4,0)

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?