Speeds are s_c for car, s_m for motorcycle.
time is 2
distance of car is:
d_c = d_m + 20, d_m is distance of motorcycle.
speed is defined as:
s = d/t, distance over time.
hence:
d_c/2 = s_c = d_m/2 + 10
s_c = s_m + 10
from problem statement we know:
s_c = 2s_m - 30
so we have 2 simultaneous equations:
<span>s_c = s_m + 10
</span><span>s_c = 2s_m - 30
</span>
multiply second by -1 and sum them both:
<span> s_c = s_m + 10
</span>-s_c = -2s_m + 30
-------------------------
0 = -s_m + 40
s_m = 40
that is the speed of the motorcycle
s_c = <span>s_m + 10
</span> s_c = 40<span> + 10
</span>s_c = 50
that is the speed of car, both speeds in miles per hour
Answer:
![\boxed{x = 8}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%208%7D)
Step-by-step explanation:
1. Jump discontinuity
In the graph, you can see that the left-hand limit of g(x) as x⟶ 8 is 3 and the right-hand limit is -3.
When the left- and right-hand limits at x = 8 exist but are different, we say that g(x) has a jump discontinuity at
.
2. Other discontinuities
At x = 10, the left-hand limit is ∞ and the right-hand limit is -∞. Both one-sided limits are infinite, so this is an infinite discontinuity.
At x= 1, both one-sided limits are equal, but g(1) does not exist,
At x= 4, the limits are equal, and g(4) = 3.
In each case, the holes can be removed by redefining g(x), so the holes are removable discontinuities.
Answer:
75.4
Step-by-step explanation:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Answer:
4x2=8
2x1=2
8+2=10
10-3=7
So the answer is $7
Hope I helped
Step-by-step explanation:
The answers are C and D
i 7/3, -i 7/3.