Answer:
110
Step-by-step explanation:
Let's define 
. So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).
We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).
P(-1) = (-1)^11 + 101 = -1 + 101 = 110
Answer:
no she needs $2.20 more
Step-by-step explanation:
2+ 1.10+.05= $3.15
$5.35 - $3.15 = the answer
Answer:
Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.
Step-by-step explanation:
1. Understand the slope:
Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.
2. Find Linda's slope:
- Take any two points: (0,10) and (1, 65).
Slope = (<u>y1 - y2)/(x1 - x2)</u>
<u> </u> = (65-10)/(1-0)
= 55
Since the slope is 55, we know her speed is 55 miles per hour.
2. Find Imani's slope:
- Take any two points: (0,0) and (1, 60).
Slope = (<u>y1 - y2)/(x1 - x2)</u>
<u> </u> = (60-0)/(1-0)
= 60
Since the slope is 60, we know her speed is 60 miles per hour.
3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.
<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.
(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100)
(80-60)/60 = 0.33
(100-80)/80 = 0.25
Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2
Based on my computation, the rate of Pod A is lower than the rate of Pod B.
(c) When does the population in Pod B exceed the population in Pod A? Explain.
Pob B exceeds the population of Pod A at the END OF MONTH 4.
Pod A has a population of less than 200 while Pod B has a population of 469.</span>
460 (envelopes) / 30 (minutes) = 15.3 rounds down to 15 envelopes per minute
