(2x³ - 5x² + 8)(x + 3) = ?
First step is to distribute.
2x^4 + 6x³ - 5x³ - 15x² + 8x + 24
Now combine like terms.
2x^4 + x³ - 15x² + 8x + 24
This is your answer, since you can't simplify any further or solve it without some more information.
Answer:
can't be determined
Step-by-step explanation:
we would need to know the total number of bars/chips he brought
31-40. C. 12 students sold that many, therefore it's the most.
Y=mx+b
m=slope
given
y=6x-9
m=6
the slope is 6
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.