Simplify the following:
((x^2 - 11 x + 30) (x^2 + 6 x + 5))/((x^2 - 25) (x - 5 x - 6))
The factors of 5 that sum to 6 are 5 and 1. So, x^2 + 6 x + 5 = (x + 5) (x + 1):
((x + 5) (x + 1) (x^2 - 11 x + 30))/((x^2 - 25) (x - 5 x - 6))
The factors of 30 that sum to -11 are -5 and -6. So, x^2 - 11 x + 30 = (x - 5) (x - 6):
((x - 5) (x - 6) (x + 5) (x + 1))/((x^2 - 25) (x - 5 x - 6))
x - 5 x = -4 x:
((x - 5) (x - 6) (x + 5) (x + 1))/((x^2 - 25) (-4 x - 6))
Factor -2 out of -4 x - 6:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (2 x + 3) (x^2 - 25))
x^2 - 25 = x^2 - 5^2:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (x^2 - 5^2) (2 x + 3))
Factor the difference of two squares. x^2 - 5^2 = (x - 5) (x + 5):
((x - 5) (x - 6) (x + 5) (x + 1))/(-2(x - 5) (x + 5) (2 x + 3))
((x - 5) (x - 6) (x + 5) (x + 1))/((x - 5) (x + 5) (-2) (2 x + 3)) = ((x - 5) (x + 5))/((x - 5) (x + 5))×((x - 6) (x + 1))/(-2 (2 x + 3)) = ((x - 6) (x + 1))/(-2 (2 x + 3)):
((x - 6) (x + 1))/(-2 (2 x + 3))
Multiply numerator and denominator of ((x - 6) (x + 1))/(-2 (2 x + 3)) by -1:
Answer: (-(x - 6) (x + 1))/(2 (2 x + 3))
Answer:
Step-by-step explanation:
Number Price per Total Commission Total cost
of Shares Share (At 6% of total)
100 $16.25 $1625 
1625+97.5 = $1722.5
100 $11.31 $1131 
1131+67.86=$1198.86
40 $9.15 $366 
366+21.96=$387.96
100 $15.27 $1527 
1527+91.62=$1618.62
100 $13.22 $1322 
1322+79.32=$1401.32
Answer
if for 100% we have 20% and for $11350
11350×20÷100=$2270
mike will be borrowed $2270
No of red marbles = 5
Total number of marbles =14
By using probability formula,
P(E)= Number of favorable outcome /
Total number of outcomes
P(E)= 5/14
I hope that was useful ☻
Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0
Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -5%2F2, this means:
rise%2Frun=-5%2F2
which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2
So starting at , go down 5 units
and to the right 2 units to get to the next point
Now draw a line through these points to graph y=-%285%2F2%29x
So this is the graph of y=-%285%2F2%29x through the points
Hope this helps
Please give me Brainliest
