Find all values of $x$ such that $2x^2 +9x - 5=0$. if you find more than one value, then list your solutions in increasing order, separated by commas.

The given equation is a quadratic equation and we can find the solutions of the quadratic equation using the quadratic formula.

The Quadratic formula is:

Here, 

b = coefficient of x term = 9

a = coefficient of squared term = 2

c = constant term = -5

Using the values of, we get:

Thus the values of x satisfying the given equation are x = -5, x = 0.5

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.

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step-by-step explanation: