Which is the graph of the linear inequality 1/2x - 2y > -6?

It have to be the last graph, that one is the rigjt answer

The correct option is 4.

Step-by-step explanation:

The given inequality is

The related equation is

Put x=0,

y-intercept is 3.

Put y=0,

x-intercept is -12.

Check the inequality by (0,0).

This statement is true. It means (0,0) lies in the shaded region.

The sign of inequality is >, it means the points lie  on the line are not included in the solution set. So, the related line is a dotted line.

Therefore correct option is 4.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.