One of the 16 is the error
Answer:
x = 35
Step-by-step explanation:
Sum of angles of triangle = 180°
- 60 + 60 + 4x - 80 = 180
- 40 + 4x = 180
- 4x = 140
- x = 140/4
- x = 35°
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
1) -----> For the interval (-∞,-1)
Note The value of x=-1 is a open circle ( is not included)
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (-2,0)
2) ----> For the interval [-1,1]
Note The value of x=-1 and x=1 are closed circle ( both values are included)
This is an absolute function open upward
The vertex is the point (0,1)
3) -----> For the interval (1,∞)
Note The value of x=1 is a open circle ( is not included)
The value of f(x) is negative for all values of x
therefore
The graph in the attached figure
<h2>A can complete the work in 7*6 hrs = 42 hrs.
</h2><h2>
</h2><h2>A can complete in 1 hr = 1/42 part.
</h2><h2>
</h2><h2>B can complete the work in 7*8 hr = 56 hrs.
</h2><h2>
</h2><h2>A&B together do in 1 hr = 1/42 + 1/56 = 7/168 = 1/24 part. So they will do in 8 hrs = 8*1/24 = 1/3 part.
</h2><h2>
</h2><h2>Hence they need 1÷1/3 = 3 days to complete the work.</h2>
Answer:
see below
Step-by-step explanation:
The added constant is the value at t=0. It is 47, so only choices A and C make any sense.
A sine function is periodic with period 2π. Here, the period is 4 minutes, so the argument of the sine function needs to be 2π when t=4. That is only the case for choice C.