Answer:
three consecutive even integers be n-2,n and n+2. n=44. The three consecutive even integers are 42,44 and 46
Step-by-step explanation:
Answer:
Each cube with side lengths of 1/4 has a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
Step-by-step explanation:
Answer:
2km/hr
Step-by-step explanation:
Given the following
Speed of boat in water = 5km/hr
Speed of boat against stream = 3km/hr
Since the speed of boat is going against that of the stream, hence, the speed of the stream will be the difference between the speed of boat and that when the boat is against the stream
Speed of stream = 5km/hr - 3km/hr
Speed of stream = 2km/hr
hence the required speed of stream is 2km/hr
Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.
Answer:
y = -x - 8
Step-by-step explanation:
First, calculate the slope:
m = 
(x₁, y₁) will be (8, -16)
(x₂, y₂) will be (6, -14)
Plug in values:
m = 
simplify:
m = 
m = -1
plug values into y = mx + b:
-16 = (-1)(8) + b
solve for b:
b - 8 = -16
b = -8
rewrite the equation:
y = -1x - 8
y = -x - 8