Answers
Answer:
x >= 1/3
Step-by-step explanation:
y = (e^x + 1)/3
x = (e^y + 1)/3 ==> inverse function is when you switch x and y
3*x = 3 * (e^y + 1)/3 ==> solve for y by first multiplying both sides by 3
3x = e^y + 1
3x - 1 = e^y + 1 - 1
3x - 1 = e^y ==> now take natural log on each side to isolate y
ln(3x - 1) = ln(e^y)
y = ln(3x - 1) ==> simplify
[tex]f^{-1}[/tex](x) = ln(3x - 1) ==> plug in [tex]f^{-1}[/tex](x) for y to indicate the inverse function
3x - 1 >= 0 ==> you can't have the log function of a negative number
3x - 1 + 1 >= 0 + 1 ==> add 1 on both sides to isolate x
3x >= 1
3x/3 >= 1/3
x >= 1/3
Related Questions
Name the inequality!
Answers
Answer:
2nd one
Step-by-step explanation:
A dolphin eats 26 lbs of fish a day.
Write a function that represents this situation.
How many lbs does a dolphin eat in 6 weeks?
Answers
Answer:
26x=42
Step-by-step explanation:
Let x represent the number of days.
26 is how many pounds the dolphin eats per day.
and 42 is the total number of days in 6 weeks
Answer:
skskzkosodidozieiixikckcf
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS
Answers
Answer: 24 inches
Step-by-step explanation:
Let the radius be represented by x
Therefore, the height will be = 2×x = 2x
Volume of a cylinder = πr²h
where, Volume = 3500
π = 3.14
r = x
h = 2x
We then slot in the values into the formula
Volume = πr²h
3500 = 3.14 × x² × 2x
3500 = 3.14 × 2x²
2x² = 3500 / 3.14
2x² = 1114.65
Divide through by 2
x² = 1114.65 / 2
x² = 557
x = ✓557
x = 23.6 = 24 approximately
The radius is 24 inches
there are 25 Note books and 20 pens on a table. find the ratio of
i) Number of pens to number of note books
ii) number of Note books to the total number of objects on the table
by objects I mean Note books and pens
Answers
Answer:
i] 4:5
ii] 5:9
Step-by-step explanation:
i] no. of pens/ no. of notebooks
20/25
4/5
= 4:5
ii] no. of notebooks/ total no. of pens and notebooks
25/ 20+25
25/ 45
5/ 9
5:9
Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.
Answers
Answer:
Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]
The relation is a function.
Step-by-step explanation:
Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:
[tex]Dom\{f\} = \{1,2,3,4\}[/tex]
[tex]Ran\{f\} = \{-4\}[/tex]
A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.
Examine the box plot: What is the median score?
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Answers
Answer:
6.5
Step-by-step explanation:
0 1 2 3 4 5 6 7 8 9 10 11 12 13
6+7=13
13/2=6.5
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST !!
Answers
Answer:
1 ) a 2) b 3) d 4) b 5) a 6) c
Step-by-step explanation:
find the circumference, rounding your answer to 1d.p.
Answers
Answer:
Can't see the attached image
Step-by-step explanation:
Post another question and make sure it has the image on it :)
PLZ HELP THIS IS TIMED!
Answers
Answer:
630
Step-by-step explanation:
(8×15) + (34×15)= 630
find the range of the function f(x)=
[tex] \frac{ {x}^{2} + 3x + 5 }{2x - 1} [/tex]
Answers
Rewrite the numerator as
x ² + 3x + 5 = (x - 1/2)² + 4 (x - 1/2) + 27/4
Then
(x ² + 3x + 5) / (2x - 1) = 1/2 × (x ² + 3x + 5) / (x - 1/2)
… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)
… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))
… = 1/2 x + 7/4 + 27 / (8 (x - 1/2))
which clearly has a non-removable singularity at x = 1/2, which is to say this function has a domain including including all real numbers except 1/2.
For every number other than x = 1/2, the function takes on every possible real numbers, since 1/2 x + 7/4 alone takes on all real numbers.
So:
domain = {x ∈ ℝ | x ≠ 1/2}
range = {x ∈ ℝ}
-1 /-26 simplified
Answers
Answer:
0.038
Step-by-step explanation:
I really hope this helps I'm sorry if its wrong
Brainliest please if its right.
Hope this helps!!
A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?
Answers
Answer:
2.2 inches
Step-by-step explanation:
smallest dimension = (smallest ratio / total ratio) x volume
(smallest ratio = 1
total ratio = 1 + 1.5 + 4.2 = 6.7
(1/6.7) x 14.49 = 2.2 inches
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
hi
Step-by-step explanation:
i think so,
if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.
Have a nice day
In a class of 25 students , 12 have taken in mathematics , 8 have taken mathematics but not biology . Find
i. the number of student who have taken mathematics and biology
ii. find those who have taken biology but not mathematics . Solve by making venn diagram
Answers
Answer:
I.4
ii.13
Step-by-step explanation:
....ur welcome........
Your a god if you answer this right!!!! BRAINLIEST
Answers
Answer:
y = 3x + 7
Step-by-step explanation:
Rise: 3
Run: 1
Y-Intercept: 7
p + -35 = 25 what would be p
Answers
Answer: p=60
Step-by-step explanation: Hope this help :D
I need help :/ can someone help
1.
Solve:
7x = 3x + 24
a) 6
b) 10
I c) 14
d) 4.
2.
Solve:
8W - 8 = -4W + 16
a) 8
b) 16
c) 24
I d) 2. .
Answers
Problem 2 answer is d)2
Explanation:
I will upload photos of the source I got the answer from.
Hope this helps!
Credit to MathPapa
Can you please help me I need the answer please
Answers
Answer:
b
Step-by-step explanation:
you have to rotate it 180 degrees clockwise to find the transition.
Tell whether the angles are complementary, supplementary, or neither.
Answers
Answer: b is your answer hope this helped
Step-by-step explanation:
pleas make brainly
Danielle ran the first
Of a 6-mile race. How many miles did she run?
Answers
Answer:
1 1/5 miles or 1/2 miles
Step-by-step explanation:
1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles
Let angle A=17^ , angle C=110^ and a = 5
Answers
Lines m and n are parallel.
What is the measure of ∠1?
A: 65
B: Not here
C: 4
D: 58
Answers
Answer:
c
Step-by-step explanation:
i need help this is due tomorrow
Answers
Answer:
x z y is the awnser
Step-by-step explanation:
I'm doing this type of stuff
Definition of Accreditation
Answers
official approval given by an organisation when something / somebody achieves a certain standard
hope it helps you ✌
PLEASE HELP ME!!!!!!!
Answers
Answer:
I think 26 for the quadrilateral on the 2nd page
Step-by-step explanation:
8 + 4 + 4+ 10
8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!
Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo
Answers
Answer:
In my opinion No
Step-by-step explanation:
You are only given "X" SO what is "Y"?
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
The plot shown below displays the number of books
read last month by nine students. What is the
median number of books read last month by these
nine students?
A. 2
B. 1 1/3
C. 1
D. 0
Answers
Answer:
D has the most amount of people who haven't even read at all
Step-by-step explanation:
Anybody help me please
Answers
Answer:
Rotation 180° counterclockwise about the origin
Answer:
The second one, I think.
(Please help) The expression (x^16)(x^-24) is equivalent to x^n. What is the value of n?
Answers
Answer:
8
Step-by-step explanation: