<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function ![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
.
So, this function is defined as:
![f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D%20%5C%20the%20%5C%20greatest%20%5C%20integer%20%5C%20less%20%5C%20than%20%5C%20or%20%5C%20equal%20%5C%20to%20%5C%20x)
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at 
and 
in the interval 
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function ![F(x)=[x]-2](https://tex.z-dn.net/?f=F%28x%29%3D%5Bx%5D-2)
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
Answer:
y = -4x+15
Step-by-step explanation:
y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5
swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:
1/4 --------> 4/1 -------> -4/1 = -4
y = -4x+n
Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":
7=-4*2+n ------> 7=-8+n -------> 7+8 = n -------> 15=n
substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15
The key to solving this question is first knowing how many cubic cm are in one cubic m:
The ratio is always 1000000 cubic cm in 1 cubic meter.
Knowing this, we calculate how many cubic cm are in 5 cubic meters!
<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
x </span>cubic cm 5 cubic m
x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
x = 5<span>000000 cubic cm
Hope this helps!
Feel free to message me if you have any questions :)</span>
n, n + 2 - two consecutive even integers
3n = 2(n + 2) + 16 |use distributive property
3n = (2)(n) + (2)(2) + 16
3n = 2n + 4 + 16
3n = 2n + 20 |subtract 2n from both sides
n = 20
n + 2 = 20 + 2 = 22
Answer: 20, 22.
