Answer:

Step-by-step explanation:
A) 3x²c² + 5xc² - 2c²
Factor c² from all terms in the expression.
c²(3x² + 5x - 2)
Factor 3x² + 5x - 2
c²(3x-1)(x+2)
B) x² + 6x + 9
x² + 3x + 3x + 9
Factor common terms.
x(x+3)+3(x+3)
Take x+3 common.
(x+3)(x+3)
C) x² - 9
x² -3²
Apply formula : a² - b² = (a+b)(a-b)
(x+3)(x-3)
Answer:

Step-by-step explanation:
We can set up the following system of equations:
, where
is the number of dimes she has and
is the number of nickels she has.
Multiplying the second equation by -5 and adding both equations lets us isolate and solve for
:

Plugging
into any of the two equations will let us solve for
:
.
Therefore, she has 14 nickels.
Answer:
The unit rate is 32/25 Walls per gallons.
Step-by-step explanation:
Gallons of paint used by Martin = 5/8 gallons
Portion of wall Martin wants to paint in pints = 4/5 wall.
Rate at which Martin paints the wall: Rate = Portion of wall covered/Paints Used.
Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.