Part 3: Find the inverse function, f –1(x), for the function f (x) = x2 + 10x + 28.

Part 3: Find The Inverse Function, F 1(x), For The Function F (x) = X2 + 10x + 28.

Answers

Answer 1

Answer:

-5+(√x-3) and -(√x-3)-5

Step-by-step explanation:

change f(x) to 'y' and then interchange x and y; then solve for y

y = x² + 10x + 28

x = y² + 10y + 28

you can use the Quadratic Formula to evaluate y² + 10y + 28 and will get:

-5+(√x-3) and -(√x-3)-5


Related Questions

Find the perimeter of the figure. SOMEONE PLS HELP ME IVE ASKED THIS QUESTION 3 TIMES NOW

Answers

Answer:

Step-by-step explanation:

The lengths of the tangents drawn from an external point tot he circle are equal.

RA = RB = 12.2

QA = QC = 5.9

PC = PQ - QC = 27.4 - 5.9 = 21.5

PC = PB = 21.5

QR = QA + RA = 5.9 + 12.2 = 18.1

PR = PB + RB = 21.5 + 12.2 = 33.7

Perimeter = PQ  +  QR + PR

                 = 27.4 +  18.1 + 33.7

                 = 79.2

pls help me wit this asap

Answers

Answer:

not sure but I think the answers c

According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92

Answers

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.

how many zeroes are there​

Answers

Answer:

infinity zeros are there

Step-by-step explanation:

please make me brainlsit answer

Solve for X. Answer as a decimal.

Answers

Answer:

2

Step-by-step explanation:

Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x

Answers

Answer:

B) y=6x

Step-by-step explanation:

WILL GIVE BRAINLIST



MATH


WRITE THE SEQUENCE AS AN EQUATION USE X TO REPRESENT “ a number “

Six times the difference of 11 and a number is -72.

Answers

Answer:

6×11-x= -72

Step-by-step explanation:6×11-x= -7266-x= -72-x= -72-66-x=-138x=138checking:6×11-138= -7266-138= -72-72= -72

hope you understood it please mark me as brainliest

please help me with this i really need it, thank you!

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answers

13 miles

The soccer field is 5 miles from home in a straight line (=sr(3^2 + 4^2))
Plus the 8 miles to the library

Answer:

13 miles

Step-by-step explanation:

the distance from the soccer field to the library is 8 miles

the distance between home and soccer field is a hypotenuse, use Pythagorean theorem to find the distance.

[tex]a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\c^2=25\\\\c=5[/tex]

the distance is 5 miles

5 + 8 = 13 miles total

Covert 11 pints to fluid ounces plz

Answers

Answer:

176

Step-by-step explanation:

11 pints is 176 US fluid ounces

A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen

Answers

The answer is 129 meters addition

Find the diameter, given the circumference of a circle is 40.035 cm.

Answers

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

Can someone help me?

Answers

B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.​

Answers

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal160 m^3 ⇒ x

And we calculate:

[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

Evaluate the function f(x) = 3x2− 2x for x= 4.

The value of the function f(x) = 3x2− 2x for x= 4 is _ .

Answers

Answer:

40

Step-by-step explanation:

f(4) = 3(4²) - 2(4)

= 3(16) - 8

= 48 - 8

= 40

when x=4, f(x) = 40

The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.

Answers

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m

                                               = [tex]2.5[/tex] m

Volume of the cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get

[tex]V_1=(3.14)(2.5)^2(3)[/tex]

[tex]V_1=(3.14)(6.25)(3)[/tex]

[tex]V_1=58.875[/tex]

Volume of a cone is:

[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get

[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]

[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]

[tex]V_2\approx 13.083[/tex]

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

[tex]V=V_1+V_2[/tex]

[tex]V=58.875+13.083[/tex]

[tex]V=71.958[/tex]

[tex]V\approx 72[/tex]

Therefore, the volume of the kiosk is 72 cubic meter.

How do you solve this?

Answers

Answer:  Choice D.  (2,6)

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

Explanation:

If we plugged (x,y) = (0,8) into the first inequality, then we get

y < x^2+6

8 < 0^2+6

8 < 0+6

8 < 6

which is false. So we can rule out choice A.

----------------

Trying choice B leads us to

y < x^2+6

2 < 4^2+6

2 < 16+6

2 < 22

That last statement is true, so the first inequality is true for (x,y) = (4,2)

Let's try the other inequality

y > x^2-4

2 > 4^2-4

2 > 16-4

2 > 12

That's false. Since one of the inequalities is false (it doesn't matter which one), this means the entire system is false. We cross choice B off the list.

----------------

Now onto choice C

You should find that y < x^2+6 becomes -4 < 10 after plugging in (x,y) = (-2,-4). Since -4 < 10 is true, we move onto the next inequality.

The inequality y > x^2-4 becomes -4 > 0 after plugging in those mentioned x,y values. The inequality -4 > 0 is false.

We cross choice C off the list.

----------------

The only thing left is choice D. It has to be the answer.

Let's find out if we get true inequalities when plugging in (x,y) = (2,6)

y < x^2+6

6 < 2^2+6

6 < 10 ... true

and

y > x^2-4

6 > 2^2-4

6 > 4-4

6 > 0 .... also true

Both inequalities are true, so the entire system is true. Therefore, (x,y) = (2,6) is one of the infinitely many solutions to this system.

Choice D is confirmed as the answer

----------------

Refer to the diagram below. I've graphed the two dashed boundary curves and the shaded region between. This region is above the y = x^2-4 curve, and below the y = x^2+6 curve. So we're ignoring the stuff above the y = x^2+6 curve.

Points A through D represent the four answer choices in the order given. We see that point D is the only point in the shaded region, so that visually confirms we have the correct answer.

Note: points on the dashed boundaries do not count as solutions.

factorize, completely each of the following expression
1-4h^2

Answers

Answer:

(1 + 2h)(1 - 2h)

Step-by-step explanation:

[tex]1 - 4h^2 = 1 ^2 - (2h)^2[/tex]

          [tex]=(1 - 2h)(1 + 2h)[/tex]                       [tex][ \ a^2 - b^2 = (a - b)(a+b) \ ][/tex]

Pls need help in test

A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?

A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.

Answers

i think its C.No;the system has many solución

Answer:

thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe

Translate; a)A man's age 2 years ago b) the product of y and z​

Answers

Step-by-step explanation:

a. represent the man's current age by n. Two years ago his age was n - 2.

b. Multiplication of n by the product of y and z would be (y×z)×n.

Two angles of a triangle are 120° and 6° What is the measure of the third angle?​

Answers

Answer:  54

The angles of a triangle add up to equal 180.

Since we already know two angles, we can just use simple math to find the third.

120 + 6 = 126

180 - 126 = 54

Answer:

54°

Step-by-step explanation:

A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle

Thank you and please mark me as brainliest ^^

Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?

Answers

Answer:

y = 5x

Step-by-step explanation:

y = kx

65 = k (13)

65/13 = k

k = 5

~~~~~~~~~~~~

y = 5x

22 dividido en 3 es?

Answers

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Rewrite in simplest rational exponent form √x • 4√x

Answers

Answer:

4x

Step-by-step explanation:

[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]

[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]

HELP, I don’t understand as this is due today!!!!

Answers

Answer:

in orange you cost 5.52

in apple you cost 3.9

Step-by-step explanation:

1 1/2=2×1+1=3

so multiplied the 3 in the price per pound

so in orange you got this solution

3×1.84=5.52

and in apple you got this solution

3×1.30=3.9

#CARRY ON LEARNING

#MARK ME AS BRAINLIEST

#100% SURE

Solve for x.
9 <17 - 4.0
Enter your answer, as an inequality, in the box.

Answers

9 <= 17 -4x

Subtract t 17 from both sides:

-8 <= -4x

Divide both sides by-4,

2 <= x

Rewrite the inequality with the x on the left side.

Answer: x <=2

Express sin T as a fraction in simplest terms.

Answers

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]

Mr. Theorem writes the expression 6^2 Divided bye 23 on the board. What is the value

Answers

Answer:

[tex]1\frac{13}{23}[/tex]

Step-by-step explanation:

6² ÷ 23

36 ÷ 23

[tex]1\frac{13}{23}[/tex]

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?

Answers

Answer: The surface of the ocean

Answer: It represents being at the surface

Negative values are below the surface, while positive values are above the surface.

In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.

PLS HELP THIS IS DUE TODAY

Answers

Answer:

Draw a C plane and plot the dots if the coordinates

Answer:

it's a triangle draw the chart

what is the lcm of 8 27 72​

Answers

Answer:

216

Step-by-step explanation:

Answer:

In common notation: lcm (27,72) = 216

Other Questions
What was the outcome of the United States' effort to find weapons of mass destruction in Iraq?Some weapons of mass destruction were found, but not all of them.Some weapons of mass destruction were found, but not all of them.A civil war broke out among Iraqi groups.A civil war broke out among Iraqi groups.U.S. airstrikes destroyed most of Iraq's weapons of mass destruction.U.S. airstrikes destroyed most of Iraq's weapons of mass destruction.No weapons of mass destruction were found in Iraq. please help me please!!!! Please help me! This is my last assignment of Spanish and I rlly need help before she puts grades in. Its currently 2:17 5701. Volume of a pyramid: 192 ft: Volume of a rectangular prism:2. Volume of a pyramid:Volume of a rectangular prism: 729m3. Volume of a cylinder: 285 cm: Volume of a cone:4. Volume of a sphere:Volume of a cylinder: 600cm5. Volume of a cone: 50 m: Volume of a cylinder: Match each piece of dialogue to the character who spoke it in Macbeth.Tilesthe three witchesKing DuncanMacbethLady MacbethPairsYour face, my thane, is as a book where menMay read strange matters:to beguile the time,Look like the time; bear welcome in your eye,Your hand, your tongue: look like the innocent flower,But be the serpent undert. He that's comingMust be provided for: and you shall putThis night's great business into my despatch;Which shall to all our nights and days to comeGive solely sovereign sway and masterdom.No more that Thane of Cawdor shall deceiveOur bosom interest:go pronounce his present death,And with his former title greet Macbeth.The weird sisters, hand in hand,Posters of the sea and land,Thus do go about, about:Thrice to thine, and thrice to mine,And thrice again, to make up nine:-Peace! the charm's wound up.What hands are here? Ha, they pluck out mine eyes!Will all great Neptune's ocean wash this bloodClean from my hand? No: this my hand will ratherThe multitudinous seas incarnadine,Making the green one red, QUICK PLS!!! What is a directional statement for the book " the curious incident of the dog in the nighttime " Trafegando por uma avenida com velocidade constante de 54km/h, num dado instante, o motorista percebe o sinal vermelho sua frente e pisa no freio at que, depois de 5 s, o automvel para. Determine a acelerao escalar mdia do carro nesse intervalo de tempo em Km/h dividido por s e em m/s Which statement is an example of a simple sentence? WILLGIVE BRAINLIST ENGLISH (From A Smile as big as the Moon) What happened when the principal, Tom Keller, found out about Mike's call to the Space Center? Which event from the story helps Consuela discover who she truly is? Why don't people compose very much classical music anymore. what happened and why did all the music become rap and rock? im so sad. how can oligopoly cause market failure Help please help please explain 2 features of a unitary system Solve each equation. a) 2x = 7 b) 4x = 3 c) 6x = 3 d) 7x = 13 HOW DO YOU SOLVE THESE I NEED THE ANSWER FOR THE QUESTION HELPPPP PLEASEEEE!!!!!! nobody can do it.The passive form of sentence is . It_______________ a.hasn't be done b.cannot be done c.couldnot be done d.cannot be done by nobody Need help EvenOddNeither State if triangles HAG and CAB are similar and why. Determine whether ABC and DEF are similar. If so, write the similarity ratio and a similarity statement.