(x - 4)(x^2 + 3x + 2) =
x(x^2 + 3x + 2) - 4(x^2 + 3x + 2) =
x^3 + 3x^2 + 2x - 4x^2 - 12x - 8 =
x^3 -x^2 - 10x - 8
X=1 Y=0
Y-12X+15+3X^2-16X+13-Y=3X^2
-12X+15-16X+13=0
-28X+28=0
X=1
Y=3-16+13=0
A. 0.60 cents each.
Explanation: 1.20 dollars divided by two is 0.60 cents.
Answer:
a)4080 trees
b)104 trees
Step-by-step explanation:
<u>1st - 24 trees</u>
<u>last (40th) - 180 trees</u>
If differences between any row (except 40th) and next row are equal then
<u>2nd - 24 trees+X</u>
<u>3rd - (2nd+X) or 24 trees + 2X</u>
coefficient of X is <u>number of row minus 1</u>, therefore 40th row has <u>24 trees + 39X</u>, and it is equal to <u>180</u>. We can make an equation from this:
<u>24tr+39X=180tr</u>
<u>39X=156tr</u>
<u>X=4tr</u>
By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees
To find how many trees are there in the whole orchard, we add them all:
<u>1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,</u>
easily, it is just <u>24 trees x 40 + 39X x 20 = 4080 trees</u>
