Given f(x) = x3 – 2x2 – x + 2,

the roots of f(x)

For this case we must follow the steps below:

We factor the polynomial, starting by factoring the maximum common denominator of each group:

We factor the maximum common denominator

Now, by definition of perfect squares we have:

Where:

Now, we can rewrite the polynomial as:

To find the roots we equate to 0:

So, the roots are:

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.

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7