Consider the logarithmic equation f(x) = ln (x + 2) – 1. Round all values to the tenths place.(a) Determine any x- and y-intercepts.
(b) Determine the domain and the equation of the vertical asymptote.
(c) Make a table of values to find three other points on the graph.
(d) Graph the function. Label the three points you found in Part (c).
Answers
A) x=0==> f(0)=ln(2)-1=-0,30685281944005469058276787854182
y=0==>ln(x+2)-1=0
==>ln(x+2)=1
==>e^ln(x+2)=e^0
==>x+2=0
==>x=-2
B)
dom f(x)={x∈IR | x>2}
x=-2 is the vertical asymptote
c)
A=(-1,-1)
B=(0,ln(2)-1=-0,30685281944005469058276787854182 )
C=(1,ln(3)-1=0,09861228866810969139524523692253)
D=(2,ln(4)-1)=0,38629436111989061883446424291635)
d) see picture
Related Questions
Use the graph to determine the input value for which f(x) equals G(x) is true x=0.5,x=1, x=1.5,x=2
Find the term named in the problem.-21, - 13, -5, 3, ... Find a23
A person drove at 24 miles per hour for 4 hours, then at 20 miles per hour for 2 hours. How far did the person drive in all?
What is equal to 5 radical 3
Answers
Answer:
A) The value of a is 29.
B) The value of b isgreater than 29.
C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Step-by-step explanation:
Solving for Part A.
Given,
We have to solve for a.
By using addition property of equality, we will add both side by 9;
Hence the value of a is 29.
Solving for Part B.
Given,
We have to solve for b.
By using addition property of inequality, we will add both side by 9;
Hence the value of b isgreater than 29.
Solving for Part C.
In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
Solving for Part D.
The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Final answer:
To solve a - 9 = 20, we add 9 to 20, which results in a = 29. For b - 9 > 20, it's similar; we add 9 to 20, resulting in b > 29. The process is similar for both, but an equation's solution (a) is a single number, while an inequality's solution (b) represents a range of numbers.
Explanation:
To solve part A, which is a - 9 = 20, we will need to isolate the variable 'a' on the left side of the equation. Doing so gives us a = 20 + 9 or a = 29.
For part B, which is to solve b - 9 > 20, the operation is similar, but the result is an inequality, not a specific number. Solving it gives us b > 20 + 9 or b > 29.
The process is similar for both because you are essentially isolating the variable on one side of the equation or inequality. The difference is that the solution for an equation (part A) is a specific number, while the solution for an inequality (part B) is a range of numbers.
Learn more about Solving Equations and Inequalities here:
#SPJ11
16 children : 20 adults
yes
no
Answers
Answer:
No
Step-by-step explanation:
If product of mean = product of extreme, then ratios are equivalent.
18 : 12 :: 16:20
Product of mean = 12 * 16 = 192
Product of extreme = 18 * 20 = 360
Not equivalent ratios
Answers
You do this by multiplying the dinominator with the yards of ribbon
Answers
3 cups of flour ... 8 servings
x cups of flour = ? ... 6 servings
3 * 6 = 8 * x
18 = 8 * x /8
x = 18/8
x = 9/4
x = 2 1/4 cups of flour
The correct result would be 2 1/4 cups of flour.
Answers
sum of above (a-1)+(a)+(a+1) = 237
3a = 237
a = 79
therefore three numbers are = 78, 79,80
x + (x+1) + (x+2) = 237
3x + 3 = 237
3x = 234
x = 234 / 3 = 78
Therefore the numbers are x (78), x+1 (79) and x+2 (80)
Answers
Your answer:16.4
I hope this helps!
16.4 is 16.403 rounded to the nearest tenth because tenths are the number right after the decimal point and if the number right after it is 5 or above you round the place above up. If the tenths are below 5 you round down.