XY=10
Y=X+3
X(X+3)=10
X^2+3X=10
X^2+3X-10
(X-2)(X+5)
Questions:
(a) What is a simplified expression for (x + y) – (x – y)?
(b) Carlotta thinks that
is the same as
. Which statement shows that it is NOT the same?
Answer:


Step-by-step explanation:
Solving (a):
Given

Required
Simplify

Open brackets

Collect Like Terms



Solving (b):
Given
and 
Required
Which expression shows they are not the same
The expression that shows this is:

Take for instance; y=2
Substitute 2 for y in 

Evaluate all exponents



The above expression supports 
Inc on (-inf,0)
Dec on (0,inf)
Answer:
3
Step-by-step explanation:
Given that:
The number of paint sets, Suzanne bought= 6
As each set contains the same number of brushes.
Let x be the number of brushes each set contains.
So, the total number of brushes in 6 sets = 6x.
It is given that the total number of brushes she has is 18, which is equals to 6x.
So, the required equation is



Hence, the number of paint brushes each set contains is 3.