Answer:

Step-by-step explanation:
The given equation is

Subtract 2 from both sides and factor by grouping to get:


By the zero product principle:


When


This implies

When

We have

hence x is not defined for all real numbers
Answer:

Step-by-step explanation:
Given

Required
Shift
down and
right

<u>Shift 3 units down</u>
The rule is: (x,y)=> (x,y-a)
Where a is the number of units shifted down
In this case: 
So, we have:
== > 
<u>Shift 2 units right</u>
The rule is: (x,y)=>(x-b,y)
Where b is the number of units shifted right
In this case: 
So, we have:
==> 
Open bracket:


Hence, the new equation after the transformation is:

Answer:
The two 50ml bottles
Step-by-step explanation:
(I will be using the $ but just change the sign to the euros)
$55/80ml= .68 per ml
45+22.5= $67.5
67.5/100 is about $.67
Therefor the two 50ml bottles is cheaper per ML and you get more product
Correct!
When thinking of what determines a plane we can make the following comparison.
If a plane was the top part of a table, 3 legs, whose tops are points W, X and Y may hold it, as shown in the first picture.
but if the legs are in a line, as in the second figure, they may not hold the top part, so 3 collinear points cannot determine a plane.
The smallest number of students in the class is the smallest number that is divisible by 2, 3, and 4. You need the least common multiple of 2, 3, and 4.
This is like finding the least common denominator.
Find the prime factors of the three numbers:
2 = 2
3 = 3
4 = 2^2
To find the LCM you need common factors, and not common factors with the larger exponent.
Now single factor is common to all numbers.
There is 2 and 2^2, so use 2^2 since it has the larger exponent.
There is also a 3, so use the 3.
LCM = 2^2 * 3 = 4 * 3 = 12
Mr. Carson's class may have 12 students. 12 is the smallest number of students it can have.