Answer:
Step-by-step explanation:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.
Answer:
Volume of cylinder =989 ft cube
Step-by-step explanation:
<u>Volume of cylinder</u>
Volume V = πr²h
r - radius and h - height
It is given that,
The radius of a cylindrical construction pipe is 1.5ft and
Length of pipe = 14 ft
<u>To find volume of cylinder</u>
Volume V = πr²h
V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube
Answer:
The height of the building is 153.664 meter.
Step-by-step explanation:
Consider the provided function.
Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.
It is given that the splash is seen 5.6 seconds after the stone is dropped.
That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.
Substitute respective values in the above function.
As height can't be a negative number so the value of s₀ is 153.664.
Hence, the height of the building is 153.664 meter.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
80 feet How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)
