F(x) = log10 (x) + 5
1 answer:
Answer:
Find the asymptotes.
Set the argument of the logarithm equal to zero.
x+5=0 . Subtract 5
from both sides of the equation. x=−5
The vertical asymptote occurs at x=−5
Vertical Asymptote: x=−5
<em>Find the point at x=−4</em>
Replace the variable x with −4
in the expression.
f(−4)=log((−4)+5)
Simplify the result. Add −4 and 5
f(−4)=log(1) Logarithm base 10 of 1 is 0
f(−4)=0
The final answer is 0
Convert 0 to decimal. y=0
<em>Find the point at x=5. </em>Replace the variable x with 5
in the expression.
f(5)=log((5)+5)
Simplify the result. Convert 1 to decimal. y=1
<em>Find the point at x=−3</em>
Replace the variable x with −3
in the expression.
f(−3)=log((−3)+5)
Simplify the result.
log(2) . Convert log(2) to decimal. y=0.30102999
The log function can be graphed using the vertical asymptote at x=−5 and the points (−4,0),(5,1),(−3,0.30102999)
Vertical Asymptote: x=−5
x y
−4 0
−3 0.301
5 1
Step-by-step explanation:
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Answer:
See explanation
Step-by-step explanation:
Let be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
2. The auditorium can accommodate up to 180 spectators, hence
3. We get the system of inequalities:
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise
