Amine extracts 2 tons of ore in an hour. of the total ore extracted in a day, 4 tons is purchased by the government and more than 10 tons is sold to a mineral extractor. if the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?

they sell 4 and more than10 for a total of at least 14 tons

the mine extracts 2 ton per hour

 so 14/2 = 7 hours a day minimum

so the inequality should be x>7

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9