Please help I am so confused

24 bottles per minute.

Step-by-step explanation:

We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1