Consider the sequence of steps to solve the equation: 2(x - 4) + 6x = 9x - 10 Given 2/x - 4) + 6x = 9x – 10 Step 1 2x - 8 + 6x = 9x - 10 Step 22x + 6x - 8 = 9x - 10 Step 33 8x - 8 = 9x – 10 Step 4 = 8x - 8x - 8 = 9x – 8x – 10 Step 50 - 8 = x - 10 Step 6-8 = x - 10 Step 7 -8 + 10 = x - 10 + 10 Step 8 3 2 = x + 0 Step 9 = 2 = x Which step in solving this equation is justified by combining Like Terms

thatsbaotognumbers

Step-by-step explanation:

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.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1