Area of paralellogram=legnth times height
l=legnth
h=height
area=96
lh=96
h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12
l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion
legnth=12cm
<span><span>PART A) the initial value of the function is 150 at 0 weeks, that means that there are still 150 songs to be downloaded at the beginning.
</span> The rate of change is -30 songs each week, that is because the amount of songs left to be downloaded decrease by 30 each week.</span>
<span><span>PART B:
</span><span> lets use 2 points of the graph p1(0, 150), p2(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
m = -30
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150</span></span>
4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality