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]
Arrange these numbers in order from least to greatest.
Answer:
1) 0.725.
2) 7/25.
3) 7.5%.
(9+8i)(5-5i) in standard form
Answer:
40i²-5i+45
Step-by-step explanation:
(9+8i)(5-5i)9(5-5i)+8i(5-5i)45-45i+40i-40i²45-5i-40i²40i²-5i+45Solve for Rational Inequality.
(x+3)(X+5)x+2≥0
he total cost of 5 doughnuts and 6 cookies at a bakery is $11.95. The cost of each cookie is $0.95.
Select the equation and its solution that can be used to determine the cost, x, of 1 doughnut.
Answer:
x=1.25
Step-by-step explanation:
Answer:
($0.95 * 6) + (5x) = $11.95
The cost of one donut (x) = $1.25
Step-by-step explanation:
I hope this helps!
What is 9(-7)?
I don't even know this
-63. Hope this helps!
Can have brainliest?
Answer:
-63
Step-by-step explanation:
If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.
berapakah hasil dari 33 1/2 - 7 x 8 + 2 - 5,5 adalah, mohon bantuan nya kakak
Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:
Help me plz o don’t know what to write and how to plz help me
9514 1404 393
Explanation:
Anything is categorized by how it matches with the definition of the category.
A composite number is a product of primes. A prime number is divisible only by itself and 1.
If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.
What is the value of 9 squard
I presume you mean 9 'square'
9^2= 9 X 9 = 81
Cheerio ✌️
Step-by-step explanation:
The value of 9 Square is = 9 ×9= 81
Hope it's help you
Write the measure in degrees (pi)/4
Let's see
[tex]\\ \rm\longmapsto \pi/4[/tex]
[tex]\\ \rm\longmapsto \dfrac{\pi}{4}\times \dfrac{180}{\pi}[/tex]
[tex]\\ \rm\longmapsto \dfrac{180}{4}[/tex]
[tex]\\ \rm\longmapsto 45°[/tex]
The solution is: the measure in degrees (pi)/4 is 45°.
Here, we have,
given that,
we have to find the measure in degrees (pi)/4.
now, we know that,
Measure of an Angle in Degrees = 180°
Measure of an Angle in Radians is:
180° × (π/180°) = π = 3.14 Rad
so, we have,
π/4
= π/4 × (180°/π)
=180 /4
=45°
Hence, the measure in degrees (pi)/4 is 45°.
To learn more on angle click:
brainly.com/question/28451077
#SPJ6
2.5% of 2 2/5
is what number?
Answer:
The number is 0.06, or 6 hundredths.
Step-by-step explanation:
If we convert 2 2/5 to a decimal, we get 2.4
Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.
Now, we can multiply 2.4 and .025, which gives us 0.06
13) Store A and Store B both sell apples by the pound. Store A uses the function y = 0.38x,
where y represents the total cost in dollars and x represents the number of pounds. The
relationship between weight and cost at Store B is shown in the table. At which store
are apples more expensive?
50 Points NEED HELP ASAP PLS AND THANK YOU
A) Store A
B) Store B
C) The cost is the same at both stores
C is the answer
3 out of 100 is what percentage?
A 3%
B 30%
C 18%
D 100%
Answer:A 3%
Step-by-step explanation:
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Answer:
-15 ÷ 3 = -5
Step-by-step explanation:
If 3 thermometers totaled -15, then they share that value equally.
find the y-intercept of the parabola y=x^2-5x+9/2
Answer:
To find the Y-intercept substitute in 0 for all the x's and solve for Y
Your answer would be (0,9/2)
Steps:
Y=0^2-5(0)+9/2
0^2 -5(0)=0
Y=9/2
0 is your x place
and 9/2 is your Y intercept
Answer:
y-intercept = 9/2 or 4.5
Step-by-step explanation:
In the given quadratic equation, y = x² - 5x + 9/2, where:
a = 1, b = -5, and c = 9/2
The y-intercept is the point at which the parabola crosses the y-axis, and occurs at point (0, c ). It is the value of y when x = 0. To find out what I mean by this, we can substitute the value of x = 0 into the quadratic equation:
y = x² - 5x + 9/2
y = (0)² - 5(0) + 9/2
y = 0 - 0 + 9/2
y = 9/2
Therefore, the y-intercept (c) = 9/2, and has coordinates, (0, 9/2) or (0, 4.5).
Attached is a screenshot of the graph, where it shows the y-intercept.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
find the value of x and y
will give brainiest
Answer:
[tex]2x + 7 = 3x - 7 \\ 3x - 2x = 7 + 7 = 14 \\ x = 14 \\ 2x + 7 + 12y + 1 = 180 \\ 12y + 36 = 180 \\ 12y = 180 - 36 = 144 \\ y = 144 \div 12 = 12[/tex]
A soccor team last 30% of its games suppose the team won 14 games how many games did the team play
Answer:
its 20 games in total
the equation is 14×100÷70
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-5x + y = -2
20x – 4y = 8
each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube
Write an equation of the line in slope intercept form for (0,3) and (4,2)
Answer: 13
Step-by-step explanation:
Step-by-step explanation:
the slope is the y/x ratio of the y and x coordinate differences when going from one point to the other. and it is always the factor of x in the equation.
x changes by 4 units (from 0 to 4), y changes by -1 unit (from 3 to 2).
so, the slope is -1/4.
the intercept means the intercept with the y-axis. and that means the y value when x = 0. which is given already by the first point : 3
so, the equation is
y = -1/4 x + 3
expression is equivalent to (f + g)(4)
Answer:
Answer: The Expression (f + g)(4) is equal to f(4) + g(4).
Step-by-step explanation:
The probability of drawing three spades in a from from a standard deck of cards when the drawn card is returned to the deck each time.
Answer:
1/64
Step-by-step explanation:
P(pick 3 consecutive spades with replacement of drawn cards) =
(13/52)(13/52)(13/52) =
(1/4)(1/4)(1/4) =
1/64
Overdraft protection can be set up to which of the following accounts?
a. Savings account
b. Credit Card
c. A line of credit
d. All of the above
What is the equation of the line that passes through the point (–2, 1) and
has a slope of - 5/2
Answer:
y = -5/2x + -4 (or) y = -5/2x - 4
Step-by-step explanation:
Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4
help! will mark branliest
Answer:
B is the answer hope you get it right
need help asap on 9, 10,and 11
Step-by-step explanation:
9. a)
2•(-2) = 2 - 6
-4 = -4
-2 -2 = -2•2
-4 = -4
Yes, the ordered pair is the solution
9. b)
-1 = 3•(-2) +5
-1 = -6 +5
-1 = -1
3•(-2) +(-1) = -2
-6 -1 = -2
-7 ≠ -2
No, the ordered pair is not the solution
10. (-1, -1) and (3, -1)
11.
y = 6 +x
Now substitute it in the first equation:
3•(6 +x) = 5x
18 + 3x = 5x
18 = 2x
x = 18/2
x = 9
Now, substitute x = 9 in the second equation:
y -9 = 6
y = 6 +9
y = 15
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
range =[-5,5]
domain =[-2,3]
Select all of the equations that are equivalent to 3 x − 12 = 19
A 3x-12=19
B 3x=7
C 3x=31
D 3x+31=0
E 5x-12=2x+19
F x-4=(19/3)
Answer:
X=2
Step-by-step explanation:
x
=
−
2
Explanation:
Collect terms in x on the left side of the equation and numeric values on the right side.
add 3x to both sides.
5
x
+
3
x
+
12
=
−
3
x
+
3
x
−
4
⇒
8
x
+
12
=
−
4
subtract 12 from both sides.
8
x
+
12
−
12
=
−
4
−
12
⇒
8
x
=
−
16
To solve for x, divide both sides by 8
8
x
8
=
−
16
8
⇒
x
=
−
2
As a check
Substitute this value into the equation and if the left side is equal to the right side for this value then it is the solution.
left side
=
(
5
×
−
2
)
+
12
=
−
10
+
12
=
2
right side
=
−
(
3
×
−
2
)
−
4
=
=
6
−
4
=
2
⇒
x
=
−
2
is the solution
Answer:
b Beacuse you can't times 3 by twelve but you can multiple 3times7+1 to get 19
Pls help ASAP pls it’s reasoning with fractions
I will mark brainlist please help!!
- dilation (lesson)
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
Answer:
see explanation
Step-by-step explanation:
(1) False
A dilatation enlarges or reduces the original figure
Then the distance between consecutive vertices changes.
(2)
Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )
J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )
K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )
L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )
NEEED HELP ASAP PLS.................