Before a chemist can combine a solution with other liquids in a laboratory, the temperature of the solution must be between 39⁰ c and 52⁰c. the chemist places the solution in a warmer that raises the temperature 6.5⁰c per hour. if the temperature is originally 0⁰c, how long will it take to raise the temperature to the necessary range values

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)