Answer:
Sprinter #1
Step-by-step explanation:
Sprinter #1 is running at 96/12 feet per second: 8 feet per second
Sprinter #2 is running at 475/60 feet per second: approximately 7.9 feet per second
Sprinter #1 covers more distance per second.
Answer: The coordinates of point B are (19 , 20).
Step-by-step explanation:
The mid point (x,y) of line joining (a,b) and (c,d) is given by :-
(1)
Given : Point A is located at (3,6). The midpoint of line segment AB is point C(11,13).
Let the coordinates of point B are (a,b) m, the according to (1) , we have
Hence, the coordinates of point B are (19 , 20).
Answer: 29%
Step-by-step explanation:
This is correct on acellus :)
Answer:
The cost of parts was $65.
Step-by-step explanation:
Let the cost of parts = x
35 + 21(3) + 1.10x = 169.50
98 + 1.10x = 169.50
71.50 = 1.10x
71.50/1.10 = 65
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
