Let f be the function defined by f(x)=x^3+x^2+x. Let g(x)=f^-1(x), where g(3)=1. What is the value of g'(3)?
Answer:
1/6
Step-by-step explanation:
Given the function
f(x)=x^3+x^2+x
Get the inverse. Let y = f(x)
y = x^3+x^2+x
Replace y with x
x = y³+y²+y
Differentiate with respect to x
1 =3y²dy/dx + 2ydy/dx + dy/dx
1 = (3y²+2y+1)dy/dx
dy/dx = 1/3y²+2y+1
g'(x) = 1/3(g(x))²+2g(x)+1
If x = 3
g'(3) = 1/3(g(3))²+2g(3)+1
g'(3) =1/3(1)²+2(1)+1
g'(3) = 1/3+2+1
g'(3) = 1/6
Hence g'(3) = 1/6
find an Equation for the perpendicular bisector of the line segments whose in points are (8,3) and (2,-7)
Please help
What is 5x(1+6x) simplified
Answer: 35x is the answer
Step-by-step explanation:
5x + 30x
35x
how can I solve this problem?
I'm really struggling with this problem can someone please give me an examples like this problem or explain how to solve it an problems like it.
Answer:
Step-by-step explanation:
Ok so I'm not 100% sure how to solve this but what I would do is use the equation a^2 + b^2 = c^2 this equation is used to solve for the hypotenuse or the longest side of a triangle. To find a^2 you would do (21+15)^2 (Also this symbol ^ is the power symbol) and the answer would be 1296. b^2 would be 25^2 or 625. The equation turns out to be 1296 + 625 = c^2. c^2 (or x in this case) would be 1921. To find just c and not c^2 you would find the square root of 1921 which is 43.8292140016 or if rounded would be 43.8. Also this might not help if I misinterpreted the question...
Answer:
Hey astar its josiah we talked in 2020 u were friends w my brother elijah too
Step-by-step explanation:
we miss u
Please can someone help me with these? I'll give brainliest
Answer:
first one is right then
45 9/10
31 3/5
99 9/10
3 47/50
6 1/4
12 27/50
10 1/10
Step-by-step explanation:
I'm too lazy to do this, so like- anyone wanna do it for me? lol
Answer:
a
Step-by-step explanation:
its a big fat a
solve for x and the measures for
x=4
Answer:
Below in bold.
Step-by-step explanation:
The angles on the line AC add up to 180 degrees, so:
11x - 8 + 90 + 6x + 2 + 4x + 12 = 180
21x + 96 = 180
21x = 180 - 96 = 84
x = 84/21
x = 4.
<ABD = 11(4) - 8 = 36 degrees.
<EBF = 6(4) + 2 = 26 degrees.
<CBF = 4(4) + 12 = 28 degrees.
I have a pile of socks which contains 12 white socks, 12 black socks, and 12 red socks. How many socks must I take from the pile to be certain that I have at least one matching pair?
Answer:
I would say 6 but i do not know
Step-by-step explanation:
bc 6x2=12
The least number of socks to be taken from the pile to have one pair of socks is given by the equation A = 4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of socks to be taken be represented as A
Now , the equation will be
The number of white socks = 12
The number of black socks = 12
The number of red socks = 12
So , let the first sock be taken be either a white , black or red
Now , the second sock can also be either a white , black or red
And , the third sock can also be either a white , black or red
But , the fourth sock must a white or black or red and it will form a pair of similar colored sock
Therefore , the number of times is 4
Hence , the number is 4
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A house costs $18,000, which is 9/10 of the cost of a car. A motorcycle costs 1/5 of the cost of the car or 4/5 the cost of 100 basketball balls. How much do you need to pay for 30 basketball balls?
Answer:
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
A group of people attempt to bake the largest vegan cake the used 17 kilograms of cocoa powder which is about one-tenth the amount of dates. How many kilograms of cocoa powder and dates do they use?
Answer: 187 kilogram
Step-by-step explanation:
Let the kilogram of dates be represented by x.
Since they used 17 kilograms of cocoa powder which is about one-tenth the amount of dates. The dates will be:
= 1/10 × x = 17
0.1x = 17
x = 17/0.1
x = 170 kilogram
Date = 170 kilogram.
Cocoa powder = 17 kilogram
The total kilogram of date and cocoa powder used will be:
= 170 + 17
= 187 kilogram
The figure shows the dimensions of a city park in feet.
Part A: What is the area of the park?
A.1,088 ft2
B.1,188 ft2
C.1,208 ft2
D.968 ft2
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3
Answer:
y = 3x - 10
Step-by-step explanation:
what is 8x > -136??????
Hope this helps
x > -17
Game Stop has 48 video games to sell. If it sells 1/8 of its games each day. how many days will it take to sell all of the games?
Answer:
8 days to sell all the games
Step-by-step explanation:
;)
Answer:
Infinite
Step-by-step explanation:
Well look at it this way.
It will just a smaller piece of something but never everything. For example 1/8 of 1/100000 is still going to be a number. So, it will never sell all video games. This is a mathematical perspective, not a logical perspective since logically you cant sell a part of a video game.
Answer this problem
Answer:
(3,-7)
(-8,48)
(-4,28)
(8,-32)
(-3,23)
Step-by-step explanation:
To solve, just put in the x value from the table as the x value in the equation. Then solve to get y.
Hope it helps!
Use simple interest to find the ending balance
$14,000 at 6% for 9 years
Answer:
$21,560.00
Step-by-step explanation:
SI = 14,000 x 0.06 x 9
SI = $7,560
$14,000 + $7,560 = $21,560.00
Pls help! I WILL MARK BRAINLIEST IF YOU ARE CORRECT
NEED ASAP!!!!!!!!!!!!!!!simply 495/500
Answer:
0.99
Step-by-step explanation:
3
How many solutions does the system of equations below have?
1
y = 8x +
y = 8x +
fo
7.
Answer:
one solution
no solutions
one solution
Infinitely many
solutions
Sorry I'm late, But your answer is Infinitely many solutions. Have a good day!
Solve for all values of c in simplest form.
|C – 21 |= 12
Answer:
33, 9
Step-by-step explanation:
I33-21I=12
I9-21I=
I-12I=12
Every SUM of an absolute value will always be positive!!
An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds for 9 seconds.
Answer:
An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds
step by step solution
An elevator in a tall building starts at a floor of the building that is 102 meters above the ground. The
elevator descends 2 meters every 0.5 seconds for 9 seconds.
Kim earns $25.00 per hour at her job. How much money will Kim earn if she works
for 8.5 hours?
Answer:
$212.50
Step-by-step explanation:
So you have to multiply 8.5 by 25 because for every hour she gets $25. And if she works for 8.5 hours then you multiply both numbers to get your answer.
Hope this helps!
what is g in this problem 4-(9g-5)=-18
Step-by-step explanation:
Let's solve your equation step-by-step.
4−(9g−5)=−18
Step 1: Simplify both sides of the equation.
4−(9g−5)=−18
4+−1(9g−5)=−18(Distribute the Negative Sign)
4+−1(9g)+(−1)(−5)=−18
4+−9g+5=−18
(−9g)+(4+5)=−18(Combine Like Terms)
−9g+9=−18
−9g+9=−18
Step 2: Subtract 9 from both sides.
−9g+9−9=−18−9
−9g=−27
Step 3: Divide both sides by -9.
−9g−9=−27−9
g=3
An uses they equation y= 8.25x to calculate the total cost y in dollars for x posters. How much did she spend on 6 posters?
What’s the purchase price??
Answer:
$18,000
Step-by-step explanation:
Trust me it's right
PLEASE HELP I'M BEING TIMED!!
Yuri triples a number, x, to get a number, y. Which is the graph of Yuri's function?
First One will get Brainliest!!
Answer:
It will be A
Step-by-step explanation:
Hope this helped you out
Pauline is making trail mix. She adds 4 cups of almonds, 3 cups of sunflower seeds, and 1 cup of raisins. What is the ratio of cups of raisins to cups of almonds?
Answer:
1/4
i think
this may not be the answer, but it appears correct.
Which expression is equivalent to 5(x + 7)??????
Answer:
5x+35
Step-by-step explanation:
the parentheses means that you can multiply the outer number (5) with the inner numbers/variables
5*x=5x
5*7=35
5x+35
Triangle DAN has coordinates D(-10,4), A(-4,1), and N(-2,5) Using coordinate geometry, prove that triangle DAN is a right triangle.
Answer:
75
Step-by-step explanation:
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