Step-by-step explanation:
6z + 8 = 200
subtract 8 from each sides
6z + 8 - 8 = 200 - 8
simplify --> 6z = 192
6z/6 = 192/6
z = 32
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
<h3>How to factor the polynomial?</h3>
The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
Read more about factored expression at:
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Every transformation like
translated the graph vertically, k units up if k is positive, k units down if k is negative.
So, in your case, we have that 
is the same graph as 
, except it's shifted 1 unit down.
Original price = x
x - .2x = 200 ← original price - discount amount = sale price
.8x = 200 ← 1x - 0.2x = .8x
x = 250 ← divided both sides by .8
The original price was $250
Answer:
The answer is x = 14 the more expensive scarf
Step-by-step explanation:
x + y = 25
3 + y + y = 25 (x = 3 + y)
3 + 2y = 25
2y = 25 - 3
2y = 22
y = 22/2
y = 11
x = 3 + y
x = 3 + 11
x = 14 (the more expensive scarf)
(x,y) ; (14,11)
