Answer:
.
the answer would be D .
.
Step-by-step explanation:
.
I need help !! I’ll give brainliest for the correct answer.
For which of the following increasing functions f does (f-1)'(20) = 1/5
A f(x)= x + 5
B f(x) = x^3 + 5x + 20
C f(x) = x^5 + 5x + 14
D f(x)= e^x+ 5x + 19
Answer:
D f(x)= e^x+ 5x + 19
Step-by-step explanation:
D f(x)= e^x+ 5x + 19
We want to see for which one of the given functions, the inverse derivate evaluated in x = 20 is equal to 1/5.
The correct option is B: f(x) = x^3 + 5x + 20
Remember that two functions f(x) and g(x) are inverses if:
f( g(x)) = g( f(x))) = x
And for the inverse derivate of a function, we have the rule:
[tex]\frac{d}{dx} [f^{-1}(f(x))] = \frac{1}{f'(x)}[/tex]
So first we need to find for what value of x each function is equal to 20, and then we need to see if the derivate of the function evaluated in that same value of x is equal to 5.
For example, for the first option we have:
A: f(x) = x + 5
We find the x-value such that the function is equal to 20.
f(15) = 15 + 5 = 20
We derivate the function.
f'(x) = 1
We evaluate the function in the x-value we got above.
f'(15) = 1
This is not the correct option, as this is not 5.
Now we need to do that for all the given options.
The only correct option will be the second one:
B: f(x) = x^3 + 5x + 20
First we find the x-value such that this is equal to 20
f(0) = 0^3 + 5*0 + 20 = 20
Then the x-value is x = 0.
Now we find the derivate of f(x).
f'(x) = 3*x^2 + 5
Now we evaluate that in the x-value we got before:
f'(0) = 3*0^2 + 5 = 5
As wanted, this is equal to 5.
Then we have:
[tex]\frac{d}{dx} [ f^{-1}( f(0))] = \frac{1}{f'(0)} \\\\\frac{d}{dx} [ f^{-1}(20)] = \frac{1}{5}[/tex]
As wanted.
If you want to learn more, you can read:
https://brainly.com/question/9881718
what is 1 ??........?
Answer:
b
Step-by-step explanation:
Answer:
1 is 1
Step-by-step explanation:
A class of 25 students shares a class set of 100 markers. On a day where 5
students are absent, which statement below is true? *
5 pockets of potatoes R125,00. how much will 4 pockets cost?
The population of a city in 2000 was 18,500 people. Since then the population has increased 4.8% every year. Determine the correct equation that would represent what the population would be in the year 2028.
Answer:
see below
Step-by-step explanation:
Consider the year 2000 to be year 0. This would make year 2028 year 8.
Population growth or decay function: [tex]A = Pe^{rt}[/tex]
where A is the final amount, P is the principal amount, r is the rate, and t is time.
[tex]A = 18,500e^{(0.048)(8)}[/tex]
This can be simplified to
[tex]A = 18,500e^{0.384}[/tex]
Hopefully this is what the question is asking!
i need help with this is pretty easy pls help me
Answer:
if its so easy do it yourself, btw thank you for showing me who you are now im telling ms german
Step-by-step explanation:
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answer:
A.1/6
Step-by-step explanation:
What is the measure of angle x?
Answer:
can you add a photo
Step-by-step explanation:
Solve the equation.
Equation
Value
10w = 90
W=
Step-by-step explanation:
w=9
______________________________________
Answer:
W = 9
Step-by-step explanation:
__________________________________
What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.
Answer:
wait what
Step-by-step explanation:
5. Which number line represents the solution to the inequality shown below? 9×<36
Answer:
x<4
Step-by-step explanation:
9x<36
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x<36/9
Divide 36 by 9 to get 4.
x<4
x-8/6 = 1/3 what is X
Answer:
x = 10
Step-by-step explanation:
Answer:
i got the answer 10
x-8/6 =1/3
or, x-8 = 6/3
or, x=8+2 =10
A person invested \$8,700$8,700 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$23,100$23,100?
Answer:21.13208319 =21.1
Answer: Probly 10 years or less
Step-by-step explanation:
I will mark brainlest help
Answer:
It's a i'm pretty sure
Step-by-step explanation:
what is the answer to 1/2 ÷2 as a fraction
Answer:
1/4
Step-by-step explanation:
1/2 ÷ 2 = 1/4
Answer:
0.25 which is 1/4.
you're welcome(:
also please give brainliest.
Step-by-step explanation:
The sum of two numbers and b is equal to c The number line below shows the values of a and c. What is the value of b?
Answer:
1
Look how a and c is spaced out. The, find the middle. Then, just like that, you see the middle. It's 1!
Can someone please give me the answer I will be marking
u brilliant
Answer: - 1/5
Step-by-step explanation:
-1/3= -0.333333
1/2= 0.5
-1/5= -0.2
1/4= 0.25
When you compare them, you see that -0.2 is closer to 0. Since -0.2 is equivalent to -1/5, -1/5 is the answer.
Answer:
-1/5
Step-by-step explanation:
it just it
4x + 2 (3x + 7) - 7x
Answer:
3x + 14
Step-by-step explanation:
2 x 3x = 6x 2 x 7 = 14, 6x + 4x = 10x - 7x = 3x + 14
therefore its:
3x + 14
Answer:
3x+14
Step-by-step explanation:
4x+2(3x+7)-7x
4x-7x+2(3x+7)
-3x+2(3x+7)
-3x+(2*3x+2*7)
-3x+(6x+14)
-3x+6x+14
answer: 3x+14
Christopher is 5 less than 3 times as old as Tiara. Their ages together are 75 How old is Tiara?
Please help
Answer:
Christopher= 20 and Tiara= 55
Step-by-step explanation:
Christopher has 20
Tiara has 55
if I am not wrong those should be the right ages they have to form 75.
tell me if I am wrong.
I will give brainlyist for correct answer
Answer:
Y = 9
Step-by-step explanation:
2(x+y) =
I need the answer and how’d you get it.
Answer:
2x + 2y
Step-by-step explanation:
2 (x+y)
You distribute the properties and you get:
2x + 2y
Answer:
2x + 2y
Step-by-step explanation: you had to to simplify
please help me, correct answers please
Answer:
41000
Step-by-step explanation:4110000 because i am samrt
Two girls and three boys are entered in a school raffle that has two prizes. If a person is not allowed to win both prizes, what is the probability that two girls win?
Answer:
the probability of them both winning is 2/10 or 1/5
Step-by-step explanation:
(2/5)/2=2/10
Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces does she cut?
Answer:
so this is clearly a division problem
the equation will be
5 ÷1/3 Keep switch flip
according to KSF the equation will change to this
5*3 = 15
So she will be able to cut 15 peices.
Thank you, Hope it helps
the company claims that 52% (p=0.52) of the Reese's pieces are orange
Answer:
cool
Step-by-step explanation:
The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?
46254 58160 09695 38399 40400 32662
462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045
Answer:
B.
Step-by-step explanation:
edge2020
RECTA NUMERICA:
¿Qué puedes concluir acerca de los enteros en general mientras mas a la derecha de la recta se encuentran?
We made 64 robots. We'll keep 8 of the robots and pack the rest into boxes of 4. How many boxes do we need
What could we do to find how many boxes we need.
A. Divide 64 by 4. Then subtract 8.
B. Subtract 8 from 64. Then multiply by 4
C. Subtract 8 from 64. Then divide by 4
D. Divide 64 by 8. Then multiply by 4
Answer:
C
Step-by-step explanation:
subtract and then divide
What is an equation of the line that passes through the points ( -8, 0) and (8,4)?
Answer:
the so and bro like its be a like chocie b
Step-by-step explanation: