Answer: a^3
Step-by-step explanation:
The gcf of 2a^3 and a^6 is a^3 because a is seen both in the two numbers. and also a^3 can go in both numbers(2a^3) and (a^6)
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
Answer:
1 + 6v
Step-by-step explanation:
1+5v+v
Combine like terms
1 + 6v
Answer:
Option 1
Step-by-step explanation:
x⁴ + 2x³ - 5 + 3 + 7x³ + x⁴
2x⁴ + 9x³ -2
Answer:
2x+3x=180°
that is 5x=180°meaning x=32°
