Answer:
The x-intercept is at (2,0).
Step-by-step explanation:
The x-intercept(s) can be found by setting y to 0 and solving for x.
Your equation is:
4x+2y=8.
To find x-intercept replace y with 0:
4x+2(0)=8
4x =8
Divide both sides by 4:
x =2
The x-intercept is at (2,0).
13/6-9/7
Find the Least Common Denominator (LCD)
In this case, 42.
(7/7)(13/6)-(6/6)(9/7)
37/42 is your answer
Volume of cone: pi * r^2 * h/3
Given volume, height
942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...
Solution: radius is 10 in.
Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.
Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s
Mark:
t = 5 s
Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s
Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s
Answer:
The winner is Mark
