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
Examine the box plot: What is the median score?
0 1 2 3 4 5 6 7 8 9 10 11 12 13
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
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?
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
(Please help) The expression (x^16)(x^-24) is equivalent to x^n. What is the value of n?
Answer:
8
Step-by-step explanation:
Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.
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.
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
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
p + -35 = 25 what would be p
Answer: p=60
Step-by-step explanation: Hope this help :D
-1 /-26 simplified
Answer:
0.038
Step-by-step explanation:
I really hope this helps I'm sorry if its wrong
Brainliest please if its right.
Let angle A=17^ , angle C=110^ and a = 5
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
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
find the range of the function f(x)=
[tex] \frac{ {x}^{2} + 3x + 5 }{2x - 1} [/tex]
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}
find the circumference, rounding your answer to 1d.p.
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!
Answer:
630
Step-by-step explanation:
(8×15) + (34×15)= 630
Tell whether the angles are complementary, supplementary, or neither.
Answer: b is your answer hope this helped
Step-by-step explanation:
pleas make brainly
Name the inequality!
Answer:
2nd one
Step-by-step explanation:
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?
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
Anybody help me please
Answer:
Rotation 180° counterclockwise about the origin
Answer:
The second one, I think.
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST !!
Answer:
1 ) a 2) b 3) d 4) b 5) a 6) c
Step-by-step explanation:
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
Answer:
I.4
ii.13
Step-by-step explanation:
....ur welcome........
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. .
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
Lines m and n are parallel.
What is the measure of ∠1?
A: 65
B: Not here
C: 4
D: 58
Answer:
c
Step-by-step explanation:
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
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
Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo
Answer:
In my opinion No
Step-by-step explanation:
You are only given "X" SO what is "Y"?
Can you please help me I need the answer please
Answer:
b
Step-by-step explanation:
you have to rotate it 180 degrees clockwise to find the transition.
Definition of Accreditation
official approval given by an organisation when something / somebody achieves a certain standard
hope it helps you ✌
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
Answer:
D has the most amount of people who haven't even read at all
Step-by-step explanation:
Your a god if you answer this right!!!! BRAINLIEST
Answer:
y = 3x + 7
Step-by-step explanation:
Rise: 3
Run: 1
Y-Intercept: 7
PLEASE HELP ME!!!!!!!
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!!!!!!
Danielle ran the first
Of a 6-mile race. How many miles did she run?
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
i need help this is due tomorrow
Answer:
x z y is the awnser
Step-by-step explanation:
I'm doing this type of stuff