Answer:
(-∞, 4)
Step-by-step explanation:
"The function f(x)= -(x+5)(x+1) is down" should be "The function f(x)= -(x+5)(x+1) has a parabolic graph that opens down."
Expanding f(x)= -(x+5)(x+1), we get f(x) = -[x^2 + 6x + 5] = -x^2 - 6x - 5.
Here the coefficients are a = -1, b = -6 and c = -5. Thus, the axis of symmetry is
-(-6)
x = ------------ = -3.
2(-1)
The maximum value of the function occurs when x = -3.
We must also find the actual max value.
It is f(-3) = -(-3)^2 - 6(-3) - 5, or 4.
The max value is 4. Thus, the range of this function is (-∞, 4)
Answer:
Step-by-step explanation:
let P represent the perimeter of the rectangle
P = 2×(12 + 18) = 2×(30) = 60 m
then
the number of shrubs = 3×(60) = 180
The fraction of the surfacearea that is white is 2/9.
It is a polygon having six faces.
The volume of a cube is Side³.
We have,
Cube:
Volume = Side³
Side = 3 inch
Volume = 3³ = 27 inches³
Now,
Redcubes = 21
White cubes = 6
Now,
The total surfacearea of the cube.
= 6 x side²
= 6 x 3²
= 6 x 9
= 54 inches²
Now,
27 cubes make the total surface area 54 inches².
27 cubes = 54 inches²
Multiply 6/27 on both sides.
6 white cubes = 6/27 x 54
6 white cubes = 12 inches²
Now,
White surfacearea = 12/54 inches²
12/54 = 2/9
Thus,
2/9 fraction of the surfacearea is white.
Learn more about cubes here:
#SPJ2
Answer:
Step-by-step explanation:
50 + 12.50h = 143.75....where h = # of hrs
12.50h = 143.75 - 50
12.50h = 93.75
h = 93.75 / 12.50
h = 7.5 (or 7 1/2) hrs <====