The instantaneous speeds for two rocket cars are given by a(t) = t^2 -8t + 18 and b(t) = -2t + 13, where t is in minutes and speeds are in miles per minute. Let A(t) and B(t) represent the respective distances traveled for the two cars, since we measure distance traveled from t = 0, you may assume that A(0) = 0 and B(0) = 0. a) Give the formulas for distance traveled.
b) Find the time in the first ten minutes when Car B is ahead of Car A by the greatest distance and determine that distance.
c) Determine the lowest speed at which Car A ever travels. Include units.
d) write an equation that you in order find the times when one car passes the other put your equation in the form
e) Determine two times at which Car A is traveling at a rate of 8 miles per minute. (Round to two digits after the decimal.)
f) How far does car e travel during the time interval from t = 2 to t = 8? Include units.

x

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

the answer is c 150

step-by-step explanation: