<h2>
Answer: 
</h2>
Step-by-step explanation:
- Cross-multiply.
- Divide both sides by 9.
Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: 
is the square of 
, and 
is the square of 
So, we can factor the expression as
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20-%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20)
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%5B%28x%2B2%29-%28y%2B2%29%5D%20%3D%20%28x%2By%2B4%29%28x-y%29%20)
Answer:
Step-by-step explanation:
As per definition of the function, every x- value (input) has exactly one corresponding y-value (output)
<u>We can see on the table:</u>
- x = 3.45 and y= 1.72
- x = 3.45 and y = 3.36
Two same input values with different outputs.
So this not a function
So Scientific Notation is a "simplified version" of a number. For example, is your number is 2,345, the scientific notation would be 2.345 * 10³.
If it was 0.023, then the scientific notation would be 2.3 * 10^-2.
Scientific notation is found by moving the decimal place to the left or right, until only one digit is left to the left of the decimal; it has to be greater than 1, but less than ten. If you move the decimal place to the right, it's a negative power of 10. If you move it to the left, it is a positive power of 10.
Hope this helps!
