Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Answer:
6.28 m
Step-by-step explanation:
If a wheel travels with one full revolution, it would have travelled the circumference's distance from it's starting point.
The circumference of a circle is 
Let's assume 
is 3.14 and solve for the equation.
Hope this helped!
Answer:
4.) A -18 ft
5.) 4 degrees F
Step-by-step explanation:
4.) 6 * -3
5.) (-2+17+0-8+13)/5
20/5 =4
Answer:
Step-by-step explanation:
8. B is the midpoint of AD
A (x,y)
D( -1,3) B ( (x-1)/2, (y+3)/2) and B ( 1,1)
then (x-1)/2=1, x-1=2 ( +1) , x= 2+1, x=3
(y+3)/2=1, y+3=2 ( -3) y=2-3, y= -1
then A (3, -1)
9. (-8,3)
(s,3) the midpoint (0,u)
then (s-8)/2=0, s=8
(3+3)/2=u, u=6/2, u= 3
10. a=1 ( the y coordinate is the same as the midpoint
A(3,1)
B(x,y) the midpoint (5,1)
(3+x)/2=5, 3+x=10 , x=10-3, x=7
(y+1)/2=1, y+1=2,y=2-1, y=1
B(7,1)
Answer:
unit rate of water dripped per day is 
or 1.6 gallons.
Step-by-step explanation:
We fist have to ask ourselves how many 10 hours are in a day— the answer is
there are 
or 2.4 sets of 10-hours in day.
Now the unit rate of water dripped per day is
unit rate of water dripped per day is or 1.6 gallons.
