Answer:
(a) -∞ < x < ∞
Step-by-step explanation:
Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.
-∞ < x < ∞
You find the area not touched by the sprinkler by subtracting the area of the circle from the area of the square. The area of the square is 32*32 which is 1024. The area of the circle is found by multiplying 3.14 by the radius squared. Our radius is half the diameter of 32, so r = 16. A=3.14(16)(16) which gives us an area of the circle to be 803.84. Subtracting the 2 areas, square minus circle, is 1024-803.84=220.16 meters squared.
Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Area of the base of the model
3*2 = 6 square feet
Since the actual building 120 times bigger than the model, it should be multiplied with 120
6*120 = 720 square feet
Answer:
k = 3
Step-by-step explanation:
g(x) is 3 units higher than f(x), so k = 3.
