Answers
Answer:
f^-1(v)=v/x-3/x
Step-by-step explanation:
The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) = (x - 4)³ + 1.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]
y = [tex]\sqrt[3]{x-1} + 4[/tex]
Calculate the inverse of the function as shown below,
Replace x with y,
x = [tex]\sqrt[3]{y-1} + 4[/tex]
x - 4 = [tex]\sqrt[3]{y- 1}[/tex]
Cube both sides,
(x - 4)³ = y - 1
y = (x - 4)³ + 1
Thus, f⁻¹(x) = (x - 4)³ + 1
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Related Questions
A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission
Answers
Answer:
16$
Step-by-step explanation:
24 kg of tomatoes cost $216 how much would one kg cost
Answers
Answer:
$9
Step-by-step explanation:
Cost of 24 kg of tomatoes = $216
Cost of 1 kg of tomatoes = 216/24
= $9
Hope it helped you!
The graphs below have the same shape. What is the equation of the graph of gx)?
A. g(x) = (x+4)2
B. g(x) = x2 - 4
C. g(x) = x2 + 4
D. g(x) = (x - 4)
NO LINKS YOU BOTS
Answers
Answer:
the answer should be A Hope this helps!
Please help. Picture uploaded below.
Answers
Answer: The answer is the number of each type of topping ordered.
3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
Answers
Method:
360/45=8
Tadaaaaa
Solve V = twh for w.
Answers
Answer:
w = V/lhStep-by-step explanation:
Given equation:
V = lwhSolve for w:
V/lh = lwh/lh Divide both sides by the lh to isolate the wV/lh = w Cancel same variablesw = V/lh Swap left and right sidesAnswer:
V/lh
Step-by-step explanation:
Given,
V = lwh
Here we know
V = volume
l = length
w = width
h = height
Now,
On solving for w
V = lwh
V = l × w × h
V/l = w × h
V/l × h = w
V/lh = w
Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.
Answers
Answer:
Yes they will read the same amount of pages in 3 days
Step-by-step explanation:
Because when you do the math they add up to the same amount of pages.
The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Robert reads 30 pages the first day and 20 pages each day after that.
And, Tony reads 40 pages the first day and 15 pages each day after that.
Now,
Let the number of days for same pages read = x
So, We can formulate;
For Robert;
Number of pages = 30 + 20x
For Tony;
Number of pages = 40 + 15x
For equal days, we get;
⇒ 30 + 20x = 40 + 15x
Solve for x as;
⇒ 20x - 15x = 40 - 30
⇒ 5x = 10
⇒ x = 2
Thus, The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
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HELP ASAP will give brainliest for answer
Answers
Answer:
This is the answer
x=π/10
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answers
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
Hedi Earns 3% commission on the jewelry she sells each week last week she sold $730 worth of jewelry how much commission did she make
Answers
730*0.03=21.9
She makes $21.90
y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.
Answers
Answer:
[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Step-by-step explanation:
First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]
Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]
After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]
Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]
Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]
Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]
After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]
Now, simplify again to get [tex]5xy-10x=10y-27[/tex]
Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]
Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]
If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Hope this helps explain it!
A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?
Answers
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
Answer:
140 ft
Step-by-step explanation:
Perimeter = 2(l+w)
Perimeter = 2(30+40)
Perimeter = 2(70)
Perimeter = 140
8,17,26 find the 31st term
Answers
Answer:
T31= 278
Step-by-step explanation:
formula is Tn=a +(n-1)d
T31= 8+(31-1)9
T31=8+(30)9
T31=8+270
T31=278
help me plsssssssssssssssssssssssss
Answers
when -3 - 2m < 0 => -2m < 3 => m > -3/2
ANSWER: C
Ok done. Thank to me :>
when x varies directly as 2y and x=6 when y=20 find y when x=9
Answers
Answer:
x=k×2y
substitute x for 6 and y for 20
6=2(20)×k
6=40k
Divide both sides by the coefficient of k
6/40=40k/40
3/20=k
To find y, when x=9
9=3/20×2y
9=6y/20
cross multiply
9×20=6y×1
180=6y
Divide both sides by the coefficient
y=30
PLEASE ANSWER ASAP!!!!
Answers
Answer:
68
Step-by-step explanation:
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.
3x + y = -2
y = 2x + 3
Answers
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
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Answers
hello there! you did not put any question so i would not be able to answer your question :(
C.
Find the 4th term in the expansion of (y + 2)
Answers
I need helppp pleaseee
Answers
Answer:
One solution
Step-by-step explanation:
Start by simplifying the equation.
Distribute 3 to 4 and 2 to get 12x + 6Combine 8x and -2x to get 6xThen you have 12x + 6 = 6x + 24,
Continue to solve
Subtract 6 from the left and right to get 12x = 6x + 18Subtract 6x from both sides to get 6x = 18Divide both sides by 6 to get x = 18Because x is equal to one digit and not x = x or 3 = 5, you have one solution
(Infinite) or (none)
Hope this helps!
Solve each system of linear equations by elimination.
X-6y=7
-x+6y= -7 -
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
x-6y=7
-x+6y=-7
--------------
0=0
infinitely many solutions.
Which function is represented by the graph?
O f(x) = (x – 11 + 3
O f(x) = 5x + 11 – 3
O f(x) = |x – 11 – 3
Of(x) = x + 1] + 3
Answers
Answer:
b
Step-by-step explanation:i took the quiz
John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18
Answers
Answer:
5x-15+4=18
technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be
5(x-3)=14
Question 2 of 5
-64
O A. - 16
O B. -4
O C. 4 or -4
OD. -8
Answers
Answer:
B.-4
Step-by-step explanation:
Hope it help!!!!!!
In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?
Topic:CBSE board Class 10
Correct answer will be mark as brainliest.
Answers
Given that
PQ || AB
CP = x+3
PA = 3x+19
DC = x+3
CA = x
QB = 3x+4
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (3x+19) / (x+3) = (3x+4) / x
On applying cross multiplication then
⇛ x(3x+19) = (3x+4)(x+3)
⇛ 3x²+19x = 3x(x+3)+4(x+3)
⇛ 3x²+19x = 3x²+9x+4x+12
⇛ 3x²+19x = 3x²+13x+12
⇛ 3x²+19x-3x²-13x = 12
⇛ (3x²-3x²)+(19x-13x) = 12
⇛ 0+6x = 12
⇛ 6x = 12
⇛ x = 12/6
⇛ x = 2
∴ , x = 2
Answer: The value of x for the given problem is 2
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".
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Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?
Answers
Answer:
0.8 or 0.08 i believe
Step-by-step explanation:
hope this helps!
Use a Quadratic formula to solve for X
3x^2+9x=-4
Round to the nearest hundreth.
Answers
That should by the answer but I couldn’t find how to round it up sorry
Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time
Answers
Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
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Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answers
Answer:
x=5,-5
Step-by-step explanation:
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 0 34 units 0 39 units 0 41 units o 49 units Mark ihis and return Save and Exit
Answers
Answer:
41
Step-by-step explanation:
a² + b² = c²
9² + 40² = c²
81 + 1,600 = c²
√1681 = √c²
41 = c