Given that
[tex]g(x) = x^3 + x[/tex]
the inverse [tex]g^{-1}(x)[/tex] is such that
[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]
or
[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]
Differentiating both sides using the chain rule gives
[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]
Then the derivative of f at 2 is
[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]
I’ll give BRAINLIEST pls help
Answer: EQUATIONS OF HORIZONTAL AND VERTICAL LINES. In general, linear equation is a function whose graph is a straight line and it is typically written as. y = mx + b, where m is the slope and b is the y-intercept. An horizontal lines goes left and right and its equation is in the form of. y = b,
Step-by-step explanation:
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
Graph the equation.
y=-3x - 4
Step-by-step explanation:
Goes down 4 since it's a negative
The area of a square region is 529 mi2. What is the perimeter of the region?
Answer:
92 miles
Step-by-step explanation:
The area of a square is Length x Width. All sides of a square are equal in length so length = width. This is the same as saying x = length and x = width so X times X equals the area. X times X is X².
This tells you that X² = 529 mi². X would equal the square root of 529 which is 23. 23 x 23 = 529.
Each side of the square is 23 miles. The perimeter is equal to side 1 plus side 2 plus side 3 plus side 4. Again since it is a square all sides are equal.
This mean you can just take 4 x 23 miles. The perimeter = 92 miles
Answer:
The perimeter of the region is 92 miles
Step-by-step explanation:
For a given Square
Area = 529 mi²
Now, To find area we use formula
A = (l)²
529 = l²
√529 = l
23 = l
l = 23 miles
Now, To find perimeter of square we use,
P = 4l
P = 4 (23)
P = 92 miles
Thus, The perimeter of the region is 92 miles
-TheUnknownScientist 72
A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
4/15 + 1/15 = 5/15
simplified its 1/3
considering the line negative x -6 y equals -6 what is the line perpendicular with a slope of a line perpendicular to this line what is the slope of the line parallel to this line
9514 1404 393
Answer:
perpendicular: undefined
parallel: zero
Step-by-step explanation:
The line y = -6 is a horizontal line. Between any two points on the line, the difference in y-values is zero, and the difference in x-values is non-zero. The slope of this horizontal line is the ratio of these differences:
slope = 0/(non-zero) = 0
Any parallel line will have the same slope. The slope of a parallel line is 0.
__
A line perpendicular to a horizontal line is a vertical line. It will have the equation x = constant. Between any two points on the line, the difference in y-values is non-zero, and the difference in x-values is zero. The slope of this vertical line is the ratio of these differences:
slope = (non-zero)/0 = undefined
The slope of the perpendicular line is undefined.
Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5
Answer:
d
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 138 pounds to 130 pounds
The percent decrease is %.
Answer: 6%
Step-by-step explanation:
so you find the normal decrease. which is 138-130, 8 pounds.
then you divide by the original weight, you get 5.979…% so then round it up and tada! 6%
Write the equation of the line that passes through the given points.
(-6,0) and (0,3)
Answer:
y = 1/2x + 3
Step-by-step explanation:
First we find the slope:
(y2 - y1)/(x2 - x1) =
3-0 / 0 + 6
3/6 = 1/2
then the y intercept is 0,3 so we add 3
y = 1/2x +3
PLEASE HELP ME ITS ALGEBRA 2 THANK YOUUUU
Answer:
10
Step-by-step explanation:
Proprotions:
81/9 = 90/c(?)
so
81c= 9(90)
81c=810
810/81=
10
so c=10
Hope it helped!!
A piece of wire 3/7 m long as we cut into six pieces of the same length what is the length of each piece
Answer:
Each piece is 1/7 m long
Step-by-step explanation:
Wire length = 3/7 m
Pieces = 6
1 piece = 3/7 ÷ 6
= 3/7 ÷ 6/1
= 3/7 × 1/6
= 1/7 m
4[3(5+2)]=95-4x3 is this statement true or false
Answer:
TRUEeeee
Step-by-step explanation:
bec. there beetwen have a
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answer:
• From trigonometry ratios:
[tex]{ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
opposite → 28hypotenuse → 35[tex]{ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}[/tex]
Question in the picture
Answer:
hope this helps.......
solve pls brainliest
Difination of occupation
Answer:
Occupation -> a job or profession: his prime occupation was as editor.
• a way of spending time: a game of cards is a pretty harmless occupation.
2 the action, state, or period of occupying or being occupied by military force: the Roman occupation of Britain | the Nazi occupation.
• the action of entering and taking control of a building: the workers remained in occupation until October 16.
3 the action or fact of living in or using a building or other place: a property suitable for occupation by older people.
Step-by-step explanation:
hope it helps
Answer:
It is a job or profession
Step-by-step explanation:
If you have an occupation then that means you have a job.
Hope this helps!
Select the correct answer. Which of the following is equal to the expression below? A. B. C. D.
Answer:
b
Step-by-step explanation:
A line has a slope of -1/7. It passes
through the points (1,2) and (3,y).
What is the value of y?
Answer:
y = 12/7
Step-by-step explanation:
Slope = (change in Y) / (change in x)
-1/7 = (y - 2) / (3 - 1)
-1/7 = (y - 2)/2
Cross multiply: -1(2) = 7(y - 2)
-2 = 7y -14
-2 + 14 = 7y
12 = 7y
12/7 = y
Let's find y
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{3-1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-1}{7}=\dfrac{y-2}{2}[/tex]
[tex]\\ \sf\longmapsto -2=7y-14[/tex]
[tex]\\ \sf\longmapsto 7y=12[/tex]
[tex]\\ \sf\longmapsto y=12/7[/tex]
One student starts with a 3-lb hand weight and increases the weight by 2 lb per
month. Another starts with a 5-lb hand weight and increases the weight by 1 lb
per month. For each student, write an equation that represents how much
weight y the student is lifting after x months.
Answer:
Student A: y=3+2x
Student B: y=5+1x
Which of the following values of x would not be in the domain of the function defined by f(x) = x-2/x+3?
Answer:
x = 7 is not there in the domain of the function.
Step-by-step explanation:
The value of x = -3 would not be in the domain of the function
We have the following information available from the question is:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Determine the values of x would not be in the domain of the function
Now, According to the question:
The function is :
[tex]f(x) =\frac{x-2}{x+3}[/tex]
Let the denominator equal to zero: x + 3 = 0
Rearrange unknown terms to the left side of the equation.
x + 3 = 0
x = -3
Hence, The value of x = -3 would not be in the domain of the function.
Learn more about Function at:
https://brainly.com/question/30721594
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At the art store, Aisha bought a few blocks of clay to make a teapot and matching mugs for her aunt. She used 2 1/2 pounds of clay to make the mugs and 1 1/2 times as much clay for the teapot. If each block of clay weighed 2 pounds, how many blocks did Aisha use in all?
Answer:
3 1/8
Step-by-step explanation:
Pls give brainliest
What is 3763.2 ÷0.512 with the work that goes with it.
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
What is the slope of a line perpendicular to the line whose equation is 3y + 2x = -5?
Answer:
I think the slope of the line is -2/3
14+3(12+2)-5 to the power of 2=
show your work.
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
O -2(x - 2)2 = -8(7 + y)
O yx2-
o yo hx²-x-6
y=-2+ 28+4x
O y=2+28+4x
Answer:
-2(x-2)2=-8(7+y)
Step-by-step explanation:
Inverse means just -Lets solve afterwards
[tex]\\ \sf\longmapsto -2(x-2)2=-8(7+y)[/tex]
[tex]\\ \sf\longmapsto (-2x+4)2=-56-y[/tex]
[tex]\\ \sf\longmapsto -4x+8=-56-y[/tex]
[tex]\\ \sf\longmapsto -4x+y=-64[/tex]
[tex]\\ \sf\longmapsto 4x-y=64[/tex]
Answer:
-2(x - 2)2 = -8(7 + y)
Step-by-step explanation:
2(x - 2)2 = 8(7 + y)
(2x - 4)2 = 56 + y
4x - 8 = 56 + y
4x - 8 - 56 = y
4x - 64 = y
If option A
-2(x - 2)2 = -8(7 + y)
(-2x + 4)2 = - 56 - y
- 4x + 8 = - 56 - y
- 4x + 8 + 56 = - y
- 4x + 64 = - y
4x - 64 = y
(RIGHT)✔
If you earn 12000 per month and you except your earnings to increase by 10% per year,how much do you think you will be making per year in 5 years?(round hundredths place)
Step-by-step explanation:
1 month=12000/=
12months=144000000/=
1 year=144000000
5years=720000000/=
7200000.000/=
Azizah got 1 for the slope of the line through points (1, 2) and
(4 - 1)
Explain to her the mistake she
made and how to find the
slope correctly.
Answer:
I hope it help you
Step-by-step explanation:
btw thanks for the points
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let's find slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{2 - ( - 1)}{1 - 4} [/tex][tex] \dfrac{3}{ - 3} [/tex][tex] - 1[/tex]slope of the line is -1, so Azizah got it wrong.
The population of a town has been decreasing By 5% each year for the last two years the current population of the town is 1510 people what was the population two years ago
What is the next number in the sequence 3,5,8,12,17?
Answer:
it would be 23
Step-by-step explanation:
5-3=2
5-8=3
12-8=4
17-12=5
23-17=6
Please help me I don’t understand this
Answer:
V/pi^2 = h
Here is your answer my dear friend-
C. r^2 = Vpi h