Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
Answer:
Step-by-step explanation:
Slope =(x2-x1/y2-y1)
=(3-7/2+3)
-4/5
slope =-4/5
Answer:
B. 7.5 hours
Step-by-step explanation:
Assuming that both hoses fill at the same rate, then by simple proportion,
To raise the pool by 1 foot of water:
1 hose ---> takes 3 hours
2 hoses ----> fills twice as fast ---> will take half the time ---> 3/2 = 1.5 hrs
Hence with 2 hoses, it will take 1.5 hours to fill 1 foot of water.
to fill 5 feet of water, we will need 1.5 hours x 5 feet = 7.5 hours
Answer:
the area of a rectangle with a length of 5 and a width of 5
Step-by-step explanation:
Area of a rectangle is found by multiplying length and width. When those values are the same, the result is a perfect square.
The area of a rectangle with a length of 5 and a width of 5 is a perfect square.
