Expand <span><span><span>(<span>x<span>−3</span></span>)</span><span>(<span>x<span>−6</span></span>)</span></span><span><span>x<span>-3</span></span><span>x<span>-6</span></span></span></span> using the FOIL Method.Tap for less steps...Apply the distributive property.<span><span><span>x<span>(<span>x<span>−6</span></span>)</span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span>x<span>x<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span><span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span>+<span>(<span><span><span>−3</span>x</span><span><span>−3</span>⋅<span>−6</span></span></span>)</span></span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span>+<span><span><span>-3</span>x</span><span><span>-3</span>⋅<span>-6</span></span></span></span></span>Remove parentheses.<span><span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span>x</span></span><span><span>−3</span>⋅<span>−6</span></span></span><span><span><span><span>xx</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span>x</span></span><span><span>-3</span>⋅<span>-6</span></span></span></span>Simplify and combine like terms.Tap for less steps...Simplify each term.Tap for more steps...<span><span><span><span><span>x2</span><span><span>−6</span>x</span></span><span><span>−3</span>x</span></span>+18</span><span><span><span><span>x2</span><span><span>-6</span>x</span></span><span><span>-3</span>x</span></span>+18</span></span>Subtract <span><span>3x</span><span>3x</span></span> from <span><span><span>−6</span>x</span><span><span>-6</span>x</span></span> to get <span><span><span>−9</span>x</span><span><span>-9</span>x</span></span>.<span><span><span>x2</span><span><span>−9</span>x</span></span>+<span>18</span></span>
Hello from MrBillDoesMath!
Answer:
y = (2/3)x + 16
Discussion:
Given line:
2x - 3y = 6 => add 3y to both sides
2x = 6 + 3y => subtract 6 from both sides
2x -6 = 3y => divide both sides by 3
y =(2/3)x - 2
The slope of this line, m, (2/3) and any line parallel to the given line has the same slope. We are looking for the line with slope (2/3) passing through (-6, 12)
y = (2/3)x + b => substitute (x,y) = (-6, 12) in the equation
12 = (2/3)(-6) + b => add (2/3)(6) = 12/3 = 4
12 + 4 = (2/3)(-6) + (2/3)(6) + b => as (2/3)(-6) + (2/3)(6) = 0
12 +4 = 0 + b =>
b = 16
Hence the equation of the parallel line through ( -6,12) is
y = mx + b
=(2/3)x + 16
Check: is (-6,12) on this line? Does 12 = (2/3)(-6) + 16 = -4 + 16 = 12? Yes!
Thank you,
MrB
Ten: 91000
tenth: 90998.00
hope this helps
If $26 represents the cost of the 5 used CDs, than your formula would be "26+4x" ,x being the amount of extra CDs you purchase.
The number CDs minus 5 is our x value, because the first 5 are the used CDs bundled into the $26 group.
26+4(6-5)
26+4(1)
26+4
30
6 CDs would cost $30
It is equivalent too 5.3 and 5.30
