Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0
Answers
Thus simply switch x with y and isolate y,
x = y2 - 11
y2 = x + 11
y = root (x + 11)
The inverse of f(x) is:
y = root (x + 11)
range is y is greater than 0
Related Questions
A photographer charges customers a one-time
booking fee and an hourly rate of $50. For a 1-hour
photo session the photographer charges $95. Write
a linear equation that represents the total charge t
for h hours of service.
Answers
to first solve this we need to write an equation by find time
T+50+95
-50 - 50
t= 45
then we have to find hour
h=45+50+95
45
50
95+95=
h= 190
and to write this as a linear equation we write this
( h-t=a)
(190-50-45 = 95)
190
50
140
-45
95
Consider the differential equation & ::(t) - 4x' (t) + 4x(t) = 0. (i) Find the solution of the differential equation E. (ii) Assame x(0) = 1 and x'O) = 2
Answers
The given differential equation is given as: (t) - 4x' (t) + 4x(t) = 0.(i) To find the solution of the differential equation, we need to solve the characteristic equation.
The characteristic equation is:
r²-4r+4=0solving the above equation: We get roots as r=2,2The general solution of the given differential equation is: x(t)=c₁e²t+c₂t²e²t......(1)Where c₁ and c₂ are the constants of integration. Now, substitute the given initial values x(0) = 1 and x'(0) = 2 in equation (1);We have:
Given that x(0) = 1Therefore, putting t = 0 in equation (1);1=c₁e².0+c₂.0²e²0=> c₁ = 1Also given that x'(0) = 2
differentiating equation (1) w.r.t 't', we have:
x'(t) = 2c₂e²t+2c₂te²tPutting t = 0 in above equation: x'(0) = 2c₂e²0+2c₂.0e²0=> 2c₂ = 2 => c₂ = 1Substituting the values of c₁ and c₂ in equation (1):We get:
x(t) = e²t+t²e²t
Therefore, the solution of the given differential equation is x(t) = e²t+t²e²tNote: We obtained the general solution of the given differential equation in part (i) and we found the value of constants of integration by using the given initial conditions in part (ii).
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Multiply the given polynomials. Answers should be simplified and written in standard form.
(a-9)(a+4)
Answers
Answer:
a² - 5a - 36
Step-by-step explanation:
(a - 9)(a + 4)
each term in the second factor is multiplied by each term in the first factor, that is
a(a + 4) - 9(a + 4) ← distribute parenthesis
= a² + 4a - 9a - 36 ← collect like terms
= a² - 5a - 36
Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (20points)
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answers
A: An example of third-degree polynomial in standard form are 3x^3 - 2x + 5.
B: According to the closure property of addition of polynomials if two polynomials are added then the result is also a polynomial.
A: To create a third-degree polynomial in standard form, we need to have an expression of the form:
ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.
The degree of the polynomial is the highest power of x in the expression, which in this case is 3. To ensure that the polynomial is in standard form, we need to arrange the terms in descending order of their degrees. So, the third-degree term comes first, followed by the second-degree term, then the first-degree term, and finally the constant term.
For example, the polynomial 3x^3 - 2x + 5 is in standard form because the terms are arranged in descending order of degree.
B: The closure property of addition of polynomials states that if we add two polynomials, the result is also a polynomial. In other words, the set of polynomials is closed under addition. This means that if we add any two polynomials, the sum will always be a polynomial.
For example, if we add the polynomials 2x^2 + 3x + 1 and x^3 - 2x^2 + 4, we get a new polynomial x^3 - x^2 + 3x + 5, which is also a polynomial. Therefore, the closure property ensures that the addition of polynomials is a valid operation.
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Translate abc with coordinates a(3,4) b(7,7) c( 8,1) 6 units left 7 units down
Answers
Answers:
A ' = (-3, -3)
B ' = (1, 0)
C ' = (2, -6)
=====================================================
Explanation:
To translate 6 units to the left, we subtract 6 from each x coordinate.
For point A, we have x = 3 become 3-6 = -3 as the new x coordinate.
Point A also goes down 7 units, in which we subtract 7 from the y coordinate. So the y coordinate of point A, which is 4, becomes 4-7 = -3 as the new y coordinate.
This is how we can write out the work shown for moving point A
\((\text{x},\text{y})\to(\text{x}-6,\text{y}-7)\\\\(3,4)\to(3-6,4-7)\\\\(3,4)\to(-3,-3)\)
Point A is at (3,4) and moves to A ' which is at (-3, -3)
Do similar steps for points B and C to get the answers shown above.
Use the slope formula to find the slope of the line that passes through the points (6,3) and (9,8).
i will mark brainiest also. thank you!
Answers
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answers
Answer:
49?
Step-by-step explanation:
23) What is an employee incentive aimed at young parents?
Question 23 options:
employee college reimbursement
company provided child care
employee gym membership
discounts at expensive restaurants
Answers
One employee incentive that is aimed at young parents is company-provided child care. So, correct option is B.
Many parents struggle to balance their work responsibilities with caring for their children, especially if they cannot afford childcare services. By offering on-site child care or subsidizing the cost of childcare, employers can help ease the burden for their employees who are parents.
This incentive can also help employees who are parents to remain focused and productive while at work, knowing that their children are being well-cared for nearby.
Additionally, this benefit may make the company more attractive to potential employees who are parents, and could improve employee retention rates.
Overall, offering child care assistance as an employee incentive is a way for employers to demonstrate their support for working parents and to help them balance the demands of work and family.
So, correct option is B.
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help me please I don’t understand
Answers
Answer:
32.87°
Step-by-step explanation:
It is asking for the measure of angle B.
\(tanB=\frac{opposite}{adjacent}\)
\(tanB=\frac{4.2}{6.5}\)
Now you need to find the arctan because you want the angle. (make sure your calculator is in degree mode)
B= arctan(4.2/6.5)
angle B= 32.86867893°
Use the drop down menus to complete the sentences
Under
the Ottomans saw great advancement in the arts, architecture, and law. He also expanded the
empire into
The Ottoman Empire created a complex and efficient
v system
Ottoman sultans also promoted religious
) Intro
Done
0000) ODDDDD
5 of 11
Answers
Answer:
1. Suleyman 'The Magnificient'.
2. Eastern Europe
3. government
4. tolerance
Step-by-step explanation:
1- Under Suleyman 'The Magnificient', the Ottomans saw great advancement in the arts, architecture, and law.
2- He also expanded the empire into Eastern Europe.
3- The Ottoman Empire created a complex and efficient system government.
4- Ottoman sultan also promoted religious tolerance.
Which technique(s) are appropriate to completely factor the
expression?
A)
Factor as a difference of squares.
B)
Factor out the greatest common factor.
C)
Factor out the greatest common factor; then factor
the difference of squares.
D)
Factor out the greatest common factor; then factor
the perfect square trinomial
Answers
Answer: C
Step-by-step explanation:
(z^2 - 3z) (z + 1)
Answers
Answer:
z³ - 2z² - 3z
Step-by-step explanation:
(z² - 3z)(z+1) = (z²*z) + (z²*1) + (-3z*z) + (-3z*1) = z³ + z² - 3z² - 3z
= z³ -2z² - 3z
Answer:
Today : Saturday, 07 November 2020
Hour: 20.04 WIB (Indonesia)
_______________________________
(z² - 3z) (z + 1)
= z³ + z² - 3z² - 3z
= z³ - 2z² - 3z
Help please due asappp
Suppose that the functions f and g are defined as follows
Answers
x and x⁴-16x²+56 are the resulting composite functions respectively.
Solving composite functionsGiven the following functions below
f(x) = 7/x
g(x) = x² - 8
We need to determine the composite functions (fof)(x) and (gog)(x)
(fof)(x) = f(f(x))
f(f(x)) = f(7/x)
Replace x with 7/x
f(7/x) = 7/(7/x)
f(7/x) = 7 * x/7
f(7/x) = x
Similarly:
(gog)(x) = g(g(x))
g(g(x)) = (x² - 8)² - 8
g(g(x)) = x⁴-16x²+64 - 8
g(g(x)) = = x⁴-16x²+56
Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56
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Terry is feeling crafty and wants to put a ribbon border on her boring clock to jazz it up a bit. If the clock has a radius of 15inches, how many inches of ribbon will Terry need to use to surround the clock? Round your answer to the nearest hundredth
Answers
Perimeter=circumference of circle
Circumference=2 pi r
=pi=22/7 or 3.14
=2*3.14*15=94.2
Rounded off=100
Cuál de los siguientes valores satisface la ecuación 7x2-14=329 ?
Answers
The value of the equation 7x²- 14 = 329 is given by option A. ( 7 , -7).
Equation is equal to :
7x²- 14 = 329
⇒ 7x²- ( 7 × 2 ) = ( 7 × 47 )
Divide by 7 on both the side of the equation to get the value of x,
⇒ ( 1 / 7 ) × [ 7x²- ( 7 × 2 ) ] = ( 1 / 7 ) × ( 7 × 47 )
⇒ 7x² / 7 - ( 7 × 2 ) / 7 = ( 47 )
⇒ x² - 2 = 47
⇒ x² = 47 + 2
⇒ x² = 49
⇒ x = √ 49
Square root of 49 number is equal to plus minus 7
⇒ x = ± 7
Therefore, the value of the given equation 7x²- 14 = 329 is calculated as option A. ( 7 , -7 ).
The above question is incomplete , the complete question is :
Which of the following values satisfies the equation 7x²-14=329 ? ?
a. ( 7 , -7) b. ( 6,4) c. ( 7, 2 ) d. ( 8, 7)
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Find the missing side length and show your work to be marked brainliest! (lots of points)
Answers
Answer:
10 i think it is yea. so 10 is it
71 pointGiven a = 45, find the value of x. Round your answer to the nearest hundredths place.х41°aType your answer
Answers
From the given picture, we can relate sides a and x by means of the tangent function as follows:
\(\tan 41=\frac{x}{a}\)by moving a to the left hand side, we have
\(\begin{gathered} a\cdot\tan 41=x \\ or\text{ equivalently} \\ x=a\cdot\tan 41 \end{gathered}\)since a=45 and tan41=0.869, we get
\(\begin{gathered} x=45\times0.869 \\ x=39.118 \end{gathered}\)Then, by roundinf the nearest hundredths the answer is 39.12
H(n)=−10+12nh, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 12, n
Complete the recursive formula of
h
(
n
)
h(n)h, left parenthesis, n, right parenthesis.
h
(
1
)
=
h(1)=h, left parenthesis, 1, right parenthesis, equals
h
(
n
)
=
h
(
n
−
1
)
+
h(n)=h(n−1)+h, left parenthesis, n, right parenthesis, equals, h, left parenthesis, n, minus, 1, right parenthesis, plus
Answers
So, the recursive formula for H(n) is:
H(1) = 2
H(n) = H(n-1) + 12
A recursive formula is one that defines each term in a series by reference to the phrase(s) that came before it. The first term, or firsts, in the series must always be stated in recursive formulae. A recursive algorithm is one that uses "smaller (or simpler)" input values to call itself and gets the result for the current input by performing straightforward operations on the value that was returned for the smaller (or simpler) input.
And the Fibonacci sequence is the most well-known recursive formula. The following is the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21,… Keep in mind that each number in the series is the product of the two numbers before it. For instance, the total of the two terms before it, 5 and 8, is 13.
Recursive formula for H(n), we need to find the first term and the common difference.
H(1) = -10 + 12(1) = 2
H(2) = -10 + 12(2) = 14
The common difference between H(1) and H(2) is 14 - 2 = 12.
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Correct Question:
H(n) = -10 + 12n
Complete the recursive formula of h(n).
h(1) =
h(n) = h(n-1)+
- The length of the curved part of a semicircle is 25. 12 inches. What is the
approximate area of the semicircle? Use 3. 14 for 7.
Answers
The approximate area of the semicircle is 100.48 square inches.
Given that the length of the curved part of a semicircle is 25.12 inches, we are to find the approximate area of the semicircle using 3.14 for π.
We can start by using the formula for finding the circumference of a circle.
A semicircle is half of a circle, and its curved part is half the circumference of the corresponding circle.
Circumference of the corresponding circle = 2πr, where r is the radius of the circle.
Circumference of the semicircle = (1/2) × 2πr = πr.
Now, we have πr = 25.12 inches.
We can solve for r:r = 25.12/π ≈ 8 inches.
The area of a semicircle is given by the formula A = (πr²)/2.
Substituting the value of r, we get:
A ≈ (3.14 × 8²)/2 ≈ 100.48 square inches.
Therefore, the approximate area of the semicircle is 100.48 square inches.
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A hiker at a state park climbs to a ridge 1,220 feet higher than where she left the car. Then she hikes 670 feet down a steep cliff. How many feet above the car is the hiker now? The hiker is feet above the car now.
Answers
Answer:
549 ft
Step-by-step explanation:
take 670ft away from 1,220 ft ( not all the way sure of I'm right)
Answer:
550
Step-by-step explanation:
1,220+(-670)= 550
Thank you! :)
Bethany finished her math homework at 4:20 P.M. She did 17 multiplication problems in all. If each problem took her 3 minutes to do, at what time did Bethany start her math homework?
Answers
Answer:
4:29
Step-by-step explanation:
If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?
Answers
Answer- 9 shelves
In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.
HOPE THIS HELPS & GOOD LUCK!
please help meeeeeeeeeee
Answers
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
In triangle ABC, if c = 46, b = 47....
Answers
1) In this question, the best way to tackle it is to sketch out that triangle:
2) Let's use The Law of Sines and then perform some algebraic manipulation:
\(\begin{gathered} \frac{b}{\sin(B)}=\frac{c}{\sin(C)} \\ \frac{47}{\sin(112)}=\frac{46}{\sin (C)} \end{gathered}\)So let's cross multiply then:
\(\begin{gathered} \frac{47}{\sin(112)}=\frac{46}{\sin(C)} \\ 47\cdot\sin (C)=46\cdot\sin (112) \\ \frac{47\cdot\sin (C)}{47}=\frac{46\cdot\sin (112)}{47} \\ \sin (C)=\frac{46\cdot\sin(112)}{47} \end{gathered}\)And that's the answer.
a vault holds only 8 ounce tablets of gold and 5 ounce tablets of silver if there are 130 ounces of gold and silver total what is the greatest amount of gold that can be in the vault
Answers
The greatest amount of gold that can be in the vault is 0 ounces.
To find the greatest amount of gold that can be in the vault, we need to determine the maximum number of 8 ounce tablets that can be stored.
If the total weight of gold and silver is 130 ounces, we can subtract the weight of the silver from the total to get the weight of gold.
Since each silver tablet weighs 5 ounces, the weight of silver can be found by dividing the total weight by 5.
130 ounces ÷ 5 ounces = 26 tablets of silver
Now, to find the maximum number of 8 ounce tablets that can be stored, we divide the weight of gold by 8.
130 ounces - (26 tablets × 5 ounces) = 130 ounces - 130 ounces = 0 ounces of gold
Therefore, the greatest amount of gold that can be in the vault is 0 ounces.
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Probability trees. Can someone tell me how im meant to set this one out, and I can work the rest out from there
Answers
Answer:
Step-by-step explanation:
Answer:
.8 = P (laura)
Step-by-step explanation:
Sally passes is .7
both passing is .56
P(sally and laura passing) = P(sally) * P(laura)
.56 = .7 * P(laura)
Divide each side by .7
.56/.7 = .7 * P(laura)/ .7
.8 = P (laura)
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answers
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
y = 3 - 2
Is this linear
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes y= 3 -2 is linear.
the length of a rectangular room is 5 yards and the width is 4 yards if carpet costs 20 dollars per square yard how much will the carpet for this room cost?
Answers
Answer:
$400
Step-by-step explanation:
In order to find out the total cost, you need to find out the amount of carpet you need to buy. In order to do that, you need to find the area of the room. Since the room is 5 by 4 yards, we can just multiply to get 20sq yards of area. Meaning we need 20 sq yards of carpet. 20$ x 20sq = 400$. So your final cost is $400
The cost of the carpet for the given room will be $400
What is words problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is a words problem, that, the length of a rectangular room is 5 yards and the width is 4 yards and carpet costs 20 dollars per square yard, we need to find that how much will the carpet for this room cost.
The area of a rectangular room = length x width
Area = 4 x 5 = 20 sq yd
Since, carpet costs 20 dollars per square, so 20 sq yd it will cost =
20 x 20 = 400
Hence, the cost of the carpet for the given room will be $400
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I need to turn this in soon. A was answered for me, but I don't know the rest. Help please!! Im reposting because i attached the wrong photo. The other question I originally posted had the answers, yes, but it was blurry and I couldn't see a thing.
Answers
Answer:
I'm sorry i could not help you with this since the photo isn't the right one I don't have enough information. Again sorry.
Step-by-step explanation:
Answer:
A. -3
B. 33
C. 7
D. -7
E. -7
F. -3
G. 37
H. 33
I. 7
Step-by-step explanation: