What is the inverse of the function f(x) = 169x2 when x > 0?

Answers

Answer 1

Answer:

y = (√x)/13 for x > 0

Step-by-step explanation:

Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation.  The graph consists of the right-hand half of the parabola 169x^2.  Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test.  If x is restricted to (0, infinity), a horizontal line intersects this graph only once.  Therefore, this function has an inverse.

1.  Replace 'f(x)' with 'y:'  y = 169x^2

2.  Interchange x and y:  x = 169y^2

3.  Solve for y:  y^2 = x/169, or y = (√x)/13 for x > 0


Related Questions

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Answers

bestie now what is this

If a line moves downward from left to right, it has a

Answers

Answer:

Negative slope

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is that the line has a negative slope.

In an equation, the the slope (m) would be a negative number, looking like this:

y = -mx + b

#teamtrees #PAW (Plant And Water)

A. The scale along the vertical axis is not appropriate for the data.
B. The intervals along the vertical axis are not equal.
C. The average temperatures of some of the days are not correctly plotted.
D. On January 4 the temperature was higher than any other day.

Answers

Answer:

A

Step-by-step explanation:

beacuse it is more reasonable hope this helps

What is the slope of the function?

Answers

Answer:10

Step-by-step explanation:

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)

Answers

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

the answer is K'(-2,-5) if it is rotated 90 clockwise, but if it's anti-clockwise it will be K'(5,2)

Please help me! Thank you so much.

Answers

Answer:

57

Step-by-step explanation:

3^r = 19

Multiply each side by 3

3 * 3^r = 19 *3

We know that a^b * a^ c = a^ ( b+c)

3^1 * 3^r = 19 *3

3^(r+1) = 19*3

3^(r+1) = 57

a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

Answers

Answer:

m<ACB  = 59degrees

Step-by-step explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB  = 59degrees

What is the length of the hypotenuse of the triangle below?

Answers

Answer:

Correct option is A

Step-by-step explanation:

According to given question,

[tex]sin 45^{0} =\frac{5\sqrt 2}{h} \\0.707=\frac{5\sqrt 2}{h} \\h=\frac{5\sqrt 2}{0.707} \\h=1[/tex]

Therefore, correct option is A.

A school has two photocopiers. On any given day, machine A has an 8% chance of malfunctioning
and machine B has a 12% chance of malfunctioning. Determine the probability that on any given
day, both machines will: malfunction

Answers

Assuming they malfunction independently...
probability they both malfunction = 0.08 x 0.12 = 0.0096

ABC was dilated to create A' B' C'. What is the center of dilation? And what is the scale factor of the dilation?

Answers

Given:

In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).

The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).

To find:

The center of dilation and the scale factor.

Solution:

In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.

From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).

Therefore, the center of dilation is (0,0).

If a figure is dilated by factor k and the center of dilation is origin, then

[tex](x,y)\to (kx,ky)[/tex]

[tex]A(-2,2)\to A'(k(-2),k(2))[/tex]

[tex]A(-2,2)\to A'(-2k,2k)[/tex]

It is given that A'(-4,4). So,

[tex](-2k,2k)=(-4,4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]2k=4[/tex]

[tex]k=\dfrac{4}{2}[/tex]

[tex]k=2[/tex]

Therefore, the scale factor is 2.

What is the answer? To this question?

Answers

Answer:

20

Step-by-step explanation:

f(x) = 30

30 = 1.8x -5.4

35.4 = 1.8x

x = 35.4/1.8

x = 19.666

Find the value of x in the isosceles triangle shown below.​

Answers

Answer:

option A

Step-by-step explanation:

Let  x = y + y

Now using Pythagoras theorem :

                                    [tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]

Therefore , x = y + y = 18

Answer:

(x/2)²+12² =15²

(x/2)²+144=225

(x/2)²=225-144

x²/4. =81

x² =81×4

x. =√81×4

x. =9×2

x. =18

answer is option A

HELP ASAP I need to submit this in two hours I WILL MARK BRAINLEST



What is the solution to the system of equations?
0 (0, -1)
(-10)
0 (0, 1)
O (10)

Answers

Answer:

its (0,-1) ...................................

Helpppp does anyone know

Answers

Answer:    105

======================================================

Explanation:

We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.

According to that theorem, the interior angles x and 53 add up to the exterior angle 158

x+53 = 158

x = 158-53

x = 105

This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.

----------

If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.

We can find y by noting how 158 and y are supplementary

158+y = 180

y = 180-158

y = 22

Then we use the fact that adding three angles of any triangle always gets us 180 degrees

x+y+53 = 180

x+22+53 = 180

x+75 = 180

x = 180-75

x = 105

Effectively, this example helps reinforce why the remote interior angle theorem is true.

Question 3
Find the equation of the line joining (-2,4) and (3,7)

Answers

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

hy i am in 8th class and my yesterday my math paper anyone help me and anyone in 8th class please reply

Answers

Answer:

I'm in 9th grade but i think i can help.

Step-by-step explanation:

A flower bed is in the shape of a triangle, with a base of 11 feet and a height of 7 feet. What is the area of the flower bed?
a. 38.5 square feet
b. 42.5 square feet
c. 72 square feet
d. 77 square feet

Answers

Answer:

a. 38.5 square feet.

Step-by-step explanation:

11*7 = 77

77/2 = 38.5

Hope this helps! Good luck with your work.

Mark as brainliest if you'd like :D

What is the area of a figure with the measurements of 3,6, and 5?

Answers

Answer:

I think it is 181m.

Step-by-step explanation:

[tex]by \: imagination \: you \: separate \: all \: the \: shapes[/tex]

you also name it .

I name the triangle area A

I name the rectangle area B

it is a triangle because it has different measurements on its sides.

I name the semi- circle area C.

[tex]area \: of \: a \: triangle \: = \\ \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 5 \times 3 \\ \frac{1}{ 2} \times 15 \\ 7.5[/tex]

[tex]aea \: of \: a \: rectangle \: = l \times b \\ 5 \times 6 = \\ 30[/tex]

[tex]area \: of \: a \: semi \: circle \: = \frac{1}{2 } \times \pi \times {r}^{2} \\ \frac{1}{2} \times 3.14 \times 3 \times 3 \\ \frac{1}{2} \times 3.14 \times 9 \\ \frac{1}{2} \times \frac{314}{10} \times 9 \\ [/tex]

[tex]you \: then \: cancle \: 134 \: by \: 2[/tex]

[tex] = \frac{154}{10} \times 9[/tex]

[tex] = \frac{1431}{10} \\ 143.1[/tex]

[tex]you \: now \: add \: all \: the \: ares \: to \: get \: your \: full \: area \\ 7.5 + 30 + 143.1 \\ = 180.6 \\ to \: the \: nearest \: hundred \: will \: be \: 181m[/tex]

12. You are driving on a major highway. If you drive in the left lane traffic is moving at 60mph, if you drive in the right lane, traffic is moving at 40mph. You can drive a maximum of 10 hours and need to go a minimum of 500 miles. Use the above information to answer part a and b below: 12a. Create a system of inequalities to model the potential travel time in 3 points each lane.
12b. If you want to spend an amount of time in each lane, would this allow you to reach your goal of driving 50 miles? just to fight your conclusion​

Answers

you are driving onajor highway 94 mp

Select the correct answer. Which graph represents the solution to this inequality? A. B. C .

Answers

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.

The volume of the dilated prism is ___ cubic cm.

Answers

volume = 148 × 5.5 cube

= 24623.5 cubic cm

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

y = [tex]\frac{x - 1}{2}[/tex]

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

MARKING BRAINLIEST

PLS HELP

Answers

Answer:

x ^2 y √ 3 y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

The function f(t)=5600(1.006)^{10t}f(t)=5600(1.006) 10t represents the change in a quantity over decades. What does the constant 1.006 reveal about the rate of change of the quantity?

Answers

Answer:

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Step-by-step explanation:

Mathematically speaking, the function represents an exponential equation, whose form is:

[tex]f(t) = a_{o}\cdot r^{k\cdot t}[/tex] (1)

Where:

[tex]t[/tex] - Independent variable.

[tex]r(t)[/tex] - Dependent variable.

[tex]a_{o}[/tex] - Initial value.

[tex]k[/tex] - Convergence ratio.

[tex]r[/tex] - Increase rate.

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Answer plzzzzzzzzzzzzzzzz

Answers

Answer:

120 m squared

Step-by-step explanation:

Volume problems are very simple:

Just multiply the base x height x length

So 10 x 2 x 6, which is 120.

Therefore, the volume of this shape is 120 m squared.

Answer:

120 m

Step-by-step explanation:

Simply Multiply all the given measurements so

10m x 2m x 6m = 120m

So as simple as that.

Thank you! ^^

what are the step for distributive property to find the product for (a+8) (a-3)?

Answers

Answer:

---

Step-by-step explanation:

(a+8)(a-3)

You multiply a*a and a*-3 first.

a²-3a

Then you multiply 8*a and 8*-3.

8a-24

Then combine.

a²-3a+8a-24

Combine like terms.

a²+5a-24

So dat the answer.

---

hope it helps

Answer:

See below

Step-by-step explanation:

(a+8)(a-3)

See image for extra explanation.

a * a = a^2

a * -3 = -3a

8 * a = 8a

8 * -3 = -24

a^2 - 3a + 8a - 24

a^2 + 5a - 24

PLEASE HELP ME PLEASE AS SOON AS YOU CAN

EXPLAINATION = BRAINLIEST

THANK YOU SO MUCH

Answers

Answer:

35.18576

Step-by-step explanation:

use eqation E

Answer:

If the angle is in radians...

Area of sector =½r²¢

Where ¢ is theta.

Since Our angle is degree

We use

Area of Sector = ¢/360 x πr²

¢=theta

radius = Diameter/2

radius = 16/2 = 8m

Area = 126/360 x π x 8²

= 112π/5

=70.37

Find the surface area of the "unrolled" cylinder where a = 4 cm and b= 10 cm.
Leave your answer in terms of Pi

Answers

Answer:

= 140.544cm^2

Step-by-step explanation:

Given data

a is the radius=4cm

b is the lenght= 10cm

We two circles, hence the area of the circles is given as

Area= 2(πr^2)

Area= 2(3.142*4^2)

Area= 2(50.272)

Area= 100.544cm^2

Area of the rectangular shape= 4*10= 40cm^2

Hence the total area = 100.544+40

= 140.544cm^2

Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.​

Answers

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

The total number of mangoes bought by Kumar are 14.

What is mathematical equation?

"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."

We have,

Total amount for mangoes(P) =  280

Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6

By using mathematical equation from the question

P×A = 280.....(1)

Substitute P = A+6 in equation (1)

⇒ (A+6) × A = 280

⇒[tex]A^{2}+6A =280[/tex]

Add [tex]3^{2}[/tex] on both sides of above equation

⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]

⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex]          (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])

⇒[tex](A+3)^{2} =289[/tex]

⇒[tex]A+3 = \sqrt{289}[/tex]

⇒[tex]A=17-3[/tex]

⇒[tex]A=14[/tex]

Hence, The total number of mangoes bought by Kumar are 14.

Learn more about mathematical equation here

https://brainly.com/question/15389595

#SPJ2

Solve the rational equation: x/x+1 = 2/x+1

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{x}{x+1} =\frac{2}{x+1}[/tex]

x ≠ 0

x ≠ - 2

x ≠ - 1

[tex]\frac{x}{x+1}(x+1) =\frac{2}{x+1}(x+1)[/tex]

x = 2

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