<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6
check by plugging in.
G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1
</span>
False It can't be parallel It's gonna be intersecting or perpendicular
Answer:
4.43 inches
Step-by-step explanation:
The volume of the hot tub is
V = l*w*h
We are given the volume in gallons which we need to convert to cubic inches
1 gallon = 231 in^3
350 gallons *231 in ^3/1 gallon = 80850 in ^3
Substituting in what we know, we can find the height of the tub
80850 = 76*60 *h
17.76026316 is the height of the tub
If the tub is 1/4 full
We take 1/4 of the height
1/4 * 17.76 = 4.432565789
The approximate height of the water is 4.43 inches