Answers
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .Related Questions
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answers
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
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https://brainly.com/question/1844971
What is the value of x? (-8x = 24) - 6x +18 - 122
Enter your answer in the box X=
Answers
Answer:
the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40
Hope you do good :)
--3 x 2 x a + 5(-7b) + (12 x c x 4)
Answers
Answer:
and 4 easy
2
Step-by-step explanation:
What percentage of a day is 4 hours?
Answers
Answer:
1/6%
Step-by-step explanation:
i belive thats the answer hope it helps
80pts
1 point
A polygon undergoes a combined transformation of T3, 2) (Ro, 90'). The vertex (5. 2) of the polygon maps to what final image?
O (-4,8)
O (-2,5)
(1,7)
O (5,-3)
Answers
Answer:
Do you have the picture of the assignment?
(-1,-4) and (3, -4) slope intercept equation
Answers
Answer: y = 0 - 4
Step-by-step explanation:
2. Find the slope of the line cuated from the point this table please help
Answers
Answer: the slope is -7
Step-by-step explanation: by finding the difference between 14/2 and 7/3, then 7/3 and 0/4, you find that the difference is a negative 7/1 which simplifies to -7.
Use Phythagoras Theorem!!
the length pf a rectangle is 50 cm and its diagonal is 51 cm. work out the area of the rectangle, to the nearest square centimetre.
Answers
a² + b² = c²
50² + 51² = c²
2500 + 2601 = c²
5101 = c²
√5101 ≈ 71.42 cm.
Answer: Area of the rectangle = 102.5 cm² Round to 103 cm²
Step-by-step explanation:
The diagonal is the hypotenuse, c So subtract the square on the base (length) to find the altitude (height).
a² + b² = c²
a² + 50² = 51²
a² = 51² - 50²
a² = 2601 -2500
a² = 101 take the square root of both sides
a = √101
a = 10.04987562 Round to 10.05
Area = LW
Area = 50 × 10.05
Area = 102.5 cm² Round to 103 cm²
Purple paint is made by mixing red and blue paint in the ratio 5:4
What is one share worth if there is 450 ml of the mixture?
(Hint: 5+4=9, then 450/9=...)
Answers
Answer:
50ml
Step-by-step explanation:
5 + 4 = 9
450ml/9 = 50ml
one share is 50ml
The wholesale cost of a pair of PUMA sneakers is $28. Academy Sporting Goods sells the sneaker for 74.99. Rounded to the nearest 10th of a percent, which choice best represents the markup rate?
Question 4 options:
37.8%
.6%
167.8%
62.7%
I WILL GIVE BRAINLIST IF YOU PUT THE RIGHT ANSWER BUT IF U DONT KNOW IT DO NO ANSWER OR I WILL REPORT U
Answers
Answer:
167.8
Step-by-step explanation:
Answer: 167.8
Step-by-step explanation:
Shayla tutors middle school students and high school students. She charges a different rate for each. Last week, she tutored middle school students for 5 hours and high school students for 12 hours. This week, she tutored middle school students for 6 hours and high school students for 10 hours. She earned $400 last week and $370 this week. How much does she charge each?
Answers
Answer:
Shayla charges $20 per hour for middle school students and $25 per hour for high school students.
Step-by-step explanation:
System of Equations
Let's call:
x = Shayla's hourly charge for middle school students
y = Shayla's hourly charge for high school students
Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:
5x + 12y = 400 [1]
This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:
6x + 10y = 370
Dividing by 2:
3x + 5y = 185 [2]
We have formed the system of equations:
5x + 12y = 400 [1]
3x + 5y = 185 [2]
Multiply [1] by -3 and [2] by 5:
-15x - 36y = -1200
15x + 25y = 925
Adding both equations:
-11y = -275
Dividing by -11:
y = -275/(-11) = 25
y = 25
Substituting in [1]:
5x + 12*25 = 400
5x + 300 = 400
5x = 400 - 300 = 100
x = 100/5 = 20
x = 20
Shayla charges $20 per hour for middle school students and $25 per hour for high school students.
The current temperature is 30°C. Over the next eight hours the temperature decreases and then increases, returning back to 30°C. if the temperature initially decrease by 13°C, how much did it subsequently increase?
Answers
Answer:
13°C
Step-by-step explanation:
The number of hours that the temperature fluctuates is irrelevant to the problem.
This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.
Find the new temperature after it decreased:
30°C - 13°C = 17°CIf the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.
Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.
A ladder is 61 inches tall. How tall is it in feet and inches
Answers
Answer:
5'1
Step-by-step explanation:
Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.
That mean's it's 5 feet 1 inch.
Answer:
5 feet 1 inch
Step-by-step explanation:
because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch
factorise 2x^2 + 7x + 3
Answers
=2x^2 +7x+3
Make pairs:
= 2x^2+6x+x+3
= 2x(x+3)+1(x+3)
=(x+3)(2x+1)
A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?
Which equation represents the scenario?
How many people went to the movies?
Answers
Answer:There would be 3 people at the movies.
Step-by-step explanation:
The quotient of x-6and 8
Answers
Answer:
(x-6)/8
Step-by-step explanation:
it cannot be simplified any further
I hope this helped, and if it did, please mark this as brainliest! Thanks!
find the distance between (-4,0) and (8,-3)
Answers
Answer:
12.3693
Step-by-step explanation:
use distance formula
2x+3y=53
3x-y=19
what are the values of x and y
Answers
Answer:
pineapples
Step-by-step explanation:
I need helppp!!!
−50=10s
Answers
so i’m trying to figure out the slope of the line shown on the coordinate plane
Answers
Answer:
2
Step-by-step explanation:
pick two points that the line crosses through and write down the coordinates
eg. (3,3) and (2,1)
change in y/change in x
3-1/3-2
2/1
2
hope that helps :)
Answer:
2
Step-by-step explanation:
a company's stock was selling at $30 a share. a month later it was selling at $33 a share what is the percent increase?
Answers
Answer:
The answer is 10%
Step-by-step explanation:
33-30=3
3\30 *100= 10%
plzzzzzzzzzzz answerrrrrrrrrrrrrrrr i need it asap
Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
Answers
Answer: 120
%
=
1.2
If Maxine is correct, then she spent
1.2
times the hours she did homework than last week.
15
⋅
1.2
=
18.0
=
18
15 hours
⋅
1.2
=
18.0 hours
=
18 hours
This means that Maxine is correct.
HOPE THIS HELPS
Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19
Answers
Answer:
Yes
Step-by-step explanation:
The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.
If Mikael makes a deal with his bank every time he spends $10,000 from his bank account which has $10,000 dollars currently and his bank deposits $30,000 into this same account per day. How many days would it take Mikael to accumulate at least $1,000,000
Answers
20,000•5=100,000
20,000•50=1,000,000
SIMPLE FRACTIONS BUT I FORGOT
Answers
4/3 im not sure though oof
Four friends took a road trip that lasted 50 hours round trip. Denny drove five times as long as Connor, while Pat and Seth drove the same amount of time. Connor drove half as long as Pat. How long did Denny drive?
Answers
Answer:
Denny drove for 25 hours
Step-by-step explanation:
Here, we want to calculate the amount of time Denny drove
Let the time Connor drove be c
Denny drove 5 times as this which is 5 * c = 5c
Conor drove half as long as Pat
So this means that Pat drove 2 times Conor = 2c
Seth is same as Pat which is also 2c
Adding all gives 50
c + 5c + 2c + 2c = 50
10c = 50
c = 50/10
c = 5 hours
Denny = 5 * c
= 5 * 5 = 25 hours
im marking brainliest who ever answers this
Answers
Answer:
84%
Step-by-step explanation:
[tex]\frac{21}{25}[/tex]
25 needs to be equal to 100, so it would need to be multiplied by 4.
So, do the same thing the numerator 21.
[tex]\frac{84}{100}[/tex]
84/100 is equal to 84%
Answer:
[tex]\frac{21*4}{25*4} =\frac{84}{100}=84%[/tex]%
Write an inequality that is represented by the graph.
Answers
Answer:
ff
Step-by-step explanation:
I'll give brainliest to correct answer.
Which statement best describes the area of the triangle shown below?
A. It is twice the area of a rectangle of length 4 units and width 3 units.
B. It is twice the area of a square of side length 3 units.
C. It is one-half the area of a rectangle of length 4 units and width 3 units.
D. It is one-half the area of a square of side length 3 units.
Answers
Answer:
C
Step-by-step explanation:
Mrs. Olga’s $250 investment earns 19% interest compounded annually. What will her balance be after 3 years?
A. $421.29
B. $142.50
C. $171.29
D. $14,250
Answers
Answer:
The answer is A. $421.29
Step-by-step explanation:
Just keep finding 19% of the numbers next, and you add that all up and you get the answer.
250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475
354.025+67.26475=> 421.28975, which can round up to 421.29.
Answer:
easports
Step-by-step explanation:
its in the game