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
Answer:
t = 5 or t = 0
Step-by-step explanation:
Solve for t:
12 t (t - 5) = 0
Divide both sides by 12:
t (t - 5) = 0
Split into two equations:
t - 5 = 0 or t = 0
Add 5 to both sides:
Answer: t = 5 or t = 0
Answer:
G
Step-by-step explanation:
Answer:
Negative
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Cartesian plane
Step-by-step explanation:
We see that every time our x-value increases, our y-value decreases. Therefore, we know we would have a negative slope.
Answer: The simplest form of 35/40 is 7/8.