Answer:
2) y = 0.95x + 4
3) slope: height increases by 0.95 units as x increases by 1 unit
intercept: initial height
Step-by-step explanation:
Using (20,23) and (40,42)
Slope: (42 - 23)/(40 - 20)
0.95
y = 0.95x+ c
23 = 0.95(20) + c
c = 4
y = 0.95x + 4
Answer: 8x³ + 12x² - 16x - 16
<u>Step-by-step explanation:</u>
(4x² - 2x - 4)(2x + 4)
= (2x + 4)(4x² - 2x - 4)
= 2x(4x² - 2x - 4) + 4(4x² - 2x - 4)
= 8x³ - 4x² - 8x + 16x² - 8x - 16
= 8x³ + (-4x² + 16x²) + (-8x - 8x) - 16
= 8x³ + 12x² - 16x - 16
We know that the peaches increase to 50 peaches, so we just need to take 50÷200=25%. As a result, the percent increase is 25%. Okay, let me emphasize this amount of increase means that the amount of increase from 200 peaches to 250 peaches is increasing 50 peaches. And the original price which is 200 peaches, so 25/200=0.25 or 25% as a percent increase. Hope it help!
Answer: There is 3.994% continuous growth rate per hour.
Step-by-step explanation:
Since we have given that
Initial bacteria = 2600
After two and a half hours,
Number of bacteria = 2873
We need to find the continuous growth rate per hour.
As we know the equation for continuous growth rate per hour.

Hence, there is 3.994% continuous growth rate per hour.