Answer:
Step-by-step explanation:
The given function is .
The domain refers to all values of x for which this function is defined.
Recall that: the domain of 
is 
And we know is the reciprocal of .
Therefore the complement of the domain of which is ![(-\infty,-1]\cup [1,+\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-1%5D%5Ccup%20%5B1%2C%2B%5Cinfty%29)
is the domain of
Answer:
-86
Step-by-step explanation:
5+5=10
10-6=4
4-100=-86
I cannot see the images, but...
y = | x | + 5
consider the absolute value function. You know that for every value of x, y will be greater than or equal to 5. this means that the y-intercept will also be the bottom of the curve.
Plug a few values in for an idea of what the graph will look like:
f(-1) = 6 (-1,6)
f(1) = 6 (1, 6)
f(-2) = 7 (-2, 7)
f(2) = 7 (2, 7)
The graph will have a minimum value at (0,5), where two lines will converge. The graph will look like a pointy cone with its point at (0,5), with two lines pointing outward and upward from this point. Confirm that the graph passes through the coordinates provided above!
Step-by-step explanation:
QR= 1.5 inches
TS= 2 inches
TP= 3.8 inches
RS= 1.4 inches
PQ= 2.6 inches
now complete ur promise
Answer:
6.61 mph
Step-by-step explanation:
Speed of current; c = 2 mph
Total time to travel upstream and back; t = t1 + t2 = 4 hours
Let x represent speed of the boat in still water
Then the actual speed of the boat when going
upstream is x - 2, and the actual speed when going downstream downstream is x + 2.
We know that; distance = speed x time, Thus;
For the upstream trip;
12 = (x - 2)t1
t1 = 12/(x - 2)
For the downstream trip;
12 = (x + 2)t2
t2 = 12/(x +2)
Adding both equations, we have;
t1 + t2 = (12/(x - 2)) + (12/(x +2))
4 = (12/(x - 2)) + (12/(x +2))
Multiply through by (x - 2)(x + 2)
4(x - 2)(x + 2) = 12(x + 2) + 12(x - 2)
4x²- 16 = 12x + 24 + 12x - 24
4x² - 16 = 24x
4x² - 24x - 16 = 0
Using quadratic formula, we have;
x ≈ 6.61 mph
