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:
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-2(x+2)=1/4(-8x-16) how many solutions does it have
Answer:
many or few
Step-by-step explanation:
scan this code
evaluate function expression 5xf(1) + 5xg(9)
Answer:
5x(f+9g)
Step-by-step explanation:
5xf(1)+5xg(9)
Factor out 5.
5(xf+9xg)
Consider xf+9xg. Factor out x.
x(f+9g)
Rewrite the complete factored expression.
5x(f+9g)
Graph if needed:
A submarine descended 15 meters in 3 minutes. On average, how many meters did the submarine's position change per minute?
Answer:
5 meters per minute.
Step-by-step explanation:
Please help and this is easy?!?
Answer: You are correct.
Step-by-step explanation: If you changed the amount of seats then it would effect the amount of tickets sold
0.4x + x2.9 = 1.5
what is x
Answer:
3.3x =15
x=15÷3.3
x= 4.5454545454
I’ll give brainliest, i need to know the math done to get the answer. Need answers ASAP !!
Answer:
Approximately $242,000
You and a friend go to Tacos Galore for lunch. You order three soft tacos and five burritos and your total bill is $17.75. Your friend orders four soft tacos and two burritos and paid $12.00.
Answer:
Step-by-step explanation:
let tacos be x and burritos be y
so, your 1st eqn. is 3x + 5y = 17.75
2nd eqn. is 4x+ 2y = 12
Solving the 2 eqns: Multiply eqn 1 with 2 and eqn 2 with 5
So: 6x+10y=35.5
-20x-10y=-60
=-14x=-24.5
x=24.5/14 = 1.75
Substituting the value of x in eqn 1 : (3*1.75)+5y=17.75
y = 2.5
A circle with radius of 2 cm sits inside a circle with radius of 4 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
answer: 37.7cm^2
area of 2cm = 12.57cm^2
area of 4cm = 50.27cm^2
50.27 - 12.57 = 37.7
If the area of the base of a rectangular prism is 35 square feet and the volume is 175 cubic feet, what is the height of the prism?
Answer:
5 ft
Step-by-step explanation:
area = L * W * H
35 = L * W
Volume = (L *W) * H
since we have already found that L * W is already 35
175 = 35 * H
Divide by 35 on both sides to get H
175/35 = 5
answer = 5 ft
help meh plsssssssccsa
Answer:
I think 235.5 mm cubed
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr².
1/3 x 9 x π x 5² =
1/3 x 9π x 25 =
1/3 x 225π =
75π
let's say π=3.14
75 x 3.14 = 235.5
the reason physical state affect the rate of a chemical rection
Answer:
Usually reactions speed up with increasing temperature. Physical state of reactants. Powders react faster than blocks - greater surface area and since the reaction occurs at the surface we get a faster rate. The presence (and concentration/physical form) of a catalyst (or inhibitor).
Step-by-step explanation:
Please help I’ll give you points! And mark you BRAINLY!!
Answer:
The answer = (-5,3)
Step-by-step explanation:
your welcome
Answer:
Point form: (-5,3)
Equation form: x=-5 y=3
Step-by-step explanation: Hope it helps ;)
Kenji is playing the video game Dragon Tamer, where players go on adventures finding and training dragons. In the first level of the game, he gets 10 points for finding a Silverthorn Dragon but gets
–
6 points when it scorches him with fire.
I really need point
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
A. 40 units^2
B. 56 units^2
C. 24 units^2
D. 16 units^2
The surface area of the cone is 16π square units.
What is the surface area of the cone?The surface area of the cone is given by;
⇒ Area = πrl + πr²
Here, We have;
A right cone has a slant height of 6 and a radius of 2.
Substitute all the values in the formula
⇒ Area = πrl + πr²
⇒ Area = π x 2 x 6 + π x 2²
⇒ Area = 16π
Hence, The surface area of the cone is 16π square units.
Learn more about the surface area here;
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#SPJ5
13 yd
5 yd
11 yd
9 yd
6 yd
BE
?
Answer:
? measures (13 - 9) or 4 yards
Step-by-step explanation:
Please help this is due TODAY
Calculate the unknown variable value .
Do not answer with a one answer, blank or a ridiculous answer please this is serious.
Answer:
a=116.5°
b=116.5°
Step-by-step explanation:
360-95-32=233
233÷2=116.5
a and c are equal, so both are 116.5
I -3 I + I -7 I =
Question 1 options:
A. -10
B. 10
C. -4
D. 4
I need help pzgsgddhdhddg
Answer:
The correct answer is 756÷10^2=7.56
Step-by-step explanation:
can i have brainliest please
The cube root of a number is 2. Write an equation, using x, that represents this situation.
Answer:
x - 8 = 0
Step-by-step explanation:
Since, the cube root of a number is 2.
Let the number be x.
Therefore,
[tex] \sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0[/tex]
4/3 (3x-12)=2x+8 what is x
The answer is, X = 12.
hope it helps.
Answer:
x = 12
Step-by-step explanation:
simlify 4/3 * (3x-12)
4x - 16 = 2x + 8
combine like terms, so subtract 2x by 4x
2x - 16= 8
then finish combining like terms, so 16 plus 8
2x = 24
divide 24 by 2
x = 12
Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.
Answer:
< could be it (●'◡'●)
Step-by-step explanation:
Determine if the ordered pair (-2, -4) is a solution of
5x - 2y = -2.
Show ALL your work here
Plz answer....,.......................
Answer:
B and C
Step-by-step explanation:
Not A because the side lengths aren't multiples.
Not D because it would be congruent, unless it had different angles, but then similar shaps must have the same angles
Good luck <3
Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 – 3x – 20x + 4. Her work is shown below.
(15x2 – 3x) + (–20x + 4)
3x(5x – 1) + 4(–5x + 1)
Talia noticed that she does not have a common factor. What should she do?
Talia needs to leave the polynomial as is because it is prime and cannot be factored.
Talia needs to group the terms differently.
Talia needs to factor out a negative from one of the groups so the binomials will be the same.
Talia needs to apply the distributive property to get the expression (3x + 4)(5x – 1).
Answer:
Talia needs to factor -1 out of one of the two binomials
Step-by-step explanation:
She could take:
3x(5x - 1) + 4(-5x + 1)
and rewrite it as:
3x(5x - 1) - 4(5x - 1)
= (3x - 4)(5x - 1)
Answer:
The answere is C.
Step-by-step explanation:
It is right on edge
A family picture is 4 in wide and 6 in long. The photographer is going to enlarge the photo to be 9 in. long.
How wide wil the enlarged choto be?
Enter your answer the box
2 cot^2t sin t - cot^2t = 0
2 cot²(t ) sin(t ) - cot²(t ) = 0
cot²(t ) (2 sin(t ) - 1) = 0
cot²(t ) = 0 or 2 sin(t ) - 1 = 0
cot(t ) = 0 or sin(t ) = 1/2
cos(t ) / sin(t ) = 0 or sin(t ) = 1/2
cos(t ) = 0 or sin(t ) = 1/2
[t = cos⁻¹(0) + 2nπ or t = cos⁻¹(0) - π + 2nπ]
or [t = sin⁻¹(1/2) + 2nπ or t = π - sin⁻¹(1/2) + 2nπ]
(where n is any integer)
t = π/2 + 2nπ or t = -π/2 + 2nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Note that the first two families of solutions overlap and can be condensed, so that
t = π/2 + nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Kash bought 6 notebooks for $15.00. How many notebooks can his sister buy with $10.00?
Answer:
4
Step-by-step explanation:
Making this problem into a proportion we get:
6/$15 = x/$10
Cross multiply 10 and 6, we get 60. Now divide that by 15, you get 4.
What is d?
2/3 x d = 40
Answer:
60
Step-by-step explanation:
2/3*d=40
d=40*3/2
d=60
y=-0.011x+40.604y = − 0.011 x + 40.604
1) What is the slope of the line in the scatter plot?
2) What is the meaning of the slope in that situation?
Answer:
0.11×11%×40.60%×4=0.11×+40%.604
Find The Slope Of The Line.
1/3
3/1
6/2
-3/1