Hello from MrBillDoesMath!
Answer: (2x + 1) (x-5)
Discussion:
To factor the polynomial let's find its roots using the quadratic formula:
x = ( -b -+\- sqrt ( b^2 - 4ac)) / 2a which in our case is:
x = ( - (-9) +\- sqrt ( (-9^2 - 4*2*(-5)) ) /(2*2)
x = ( 9 +\- sqrt (81 + 40))/4 =>
x = ( 9 +\- sqrt(121)) / 4 =>
x = ( 9 +\- 11) /4 as sqrt (121) =11
Finally then,
x = ( 9 - 11) /4 = -2/4 = -1/2 and
x = (9 + 11)/4 = 20/4 = 5
So the polynomial factors as follows:
( 2x - (-1) ) ( x - 5) or
(2x + 1) (x-5)
Thank you,
MrB
Hmmm the increase, wel is just the difference 367 - 312, which is 55.
now, if we take 312 to be the 100%, what is 55 off of it in percentage?
Answer:
It wouldn't be linear and it would be exponential growth
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:



Figure (b) is a square of edge 2 yd. So, the area of the square is:



The area of the given figure is:



Therefore, the area of the given figure is 19 square yd.
Answer:
x ≤ -18. I hope this helps
Step-by-step explanation: