Answer:
A
Step-by-step explanation:
Given
f(x) = ![\frac{1}{x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%2B3%7D)
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 3 = 0 → x = - 3 is the vertical asymptote
Answer:
It is (-3-(-6)+5)^4=4096
Step-by-step explanation:
Answer:
1,231 people
Step-by-step explanation:
1,256 people currently subscribe. $0.25 is 5 nickels, and for every nickel the price is raised, 5 people unsubscribe. That's 1 person per cent. 25 people will unsubscribe for every $0.25 the price is raised. 1,256-25 is 1,231, so 1,231 people will continue to subscribe after the price increase.
well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus
![\left( \cfrac{3}{2}x+20 \right)+2x=90\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3}{2}x+20 + 2x \right)=2(90)} \\\\\\ 3x+40+4x=180\implies 7x+40=180\implies 7x=140\implies x=\cfrac{140}{7} \\\\\\ x = 20~\hfill \stackrel{\measuredangle CAD}{\cfrac{3}{2}20+20\implies 50}\qquad\qquad \stackrel{\measuredangle DAE}{2(20)\implies 40}](https://tex.z-dn.net/?f=%5Cleft%28%20%5Ccfrac%7B3%7D%7B2%7Dx%2B20%20%5Cright%29%2B2x%3D90%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B2%7D%7D%7B2%5Cleft%28%20%5Ccfrac%7B3%7D%7B2%7Dx%2B20%20%2B%202x%20%5Cright%29%3D2%2890%29%7D%20%5C%5C%5C%5C%5C%5C%203x%2B40%2B4x%3D180%5Cimplies%207x%2B40%3D180%5Cimplies%207x%3D140%5Cimplies%20x%3D%5Ccfrac%7B140%7D%7B7%7D%20%5C%5C%5C%5C%5C%5C%20x%20%3D%2020~%5Chfill%20%5Cstackrel%7B%5Cmeasuredangle%20CAD%7D%7B%5Ccfrac%7B3%7D%7B2%7D20%2B20%5Cimplies%2050%7D%5Cqquad%5Cqquad%20%5Cstackrel%7B%5Cmeasuredangle%20DAE%7D%7B2%2820%29%5Cimplies%2040%7D)
Answer: Alberto caught up to Omar after 6 seconds, when Alberto had to run 54 meters.
Step-by-step explanation: