Plzz helpp


Find the inverse function

Plzz HelppFind The Inverse Function

Answers

Answer 1

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[tex]f(x) = {x}^{2} + 5[/tex]

[tex]y = {x}^{2} + 5[/tex]

[tex] {x}^{2} + 5 = y[/tex]

Subtract sides 5

[tex] {x}^{2} + 5 - 5 = y - 5[/tex]

[tex] {x}^{2} = y - 5[/tex]

[tex]x = ± \sqrt{y - 5} [/tex]

[tex]x≠ - \sqrt{y - 5} [/tex]

Because x is a positive number but -√y-5 is a negative number thus it's unacceptable.

So ;

[tex]x = \sqrt{y - 5} [/tex]

_________________________________

[tex] {f}^{ - 1}(x) = \sqrt{x - 5} [/tex]

Done...

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Related Questions

What is the image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-8, 9)

Step-by-step explanation:

A 180 degree rotation is:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to the point given:

[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]

Hope this helps.

The image of the point (8,-9) after a rotation of 180° counterclockwise

about the origin is (-8, 9).

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)

A 180 degree rotation is:

(x, -y) ---  (-x, y)

Apply the rule to the point given:

(8,-9) --- (-8, 9)

Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Given d = 1/2 at^2, solve for a.

A) a = t^2/ 2d
B) a = 2d/t^2
C) a = d - 1/2 t^2
D) a = 1/2t^2 - d

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
The Answer is B
2d/t^2

△MNP ≅ △TUS. Use the picture below to solve for the following: x, y, and m∠N.

Answers

Answer:

x = 32

y = 51

m∠N = 14°

Step-by-step explanation:

Given:

ΔMNP ≅ ΔTUS

By the property of similarity,

MN ≅ TU, NP ≅ US and MP ≅ TS

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

Since, m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64 ⇒ x = 32

Since, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

          = 14°

The value is x = 32 , y = 51 , and m∠N = 14°

Given that  

ΔMNP ≅ ΔTUS.

Based on the above information, the calculation is as follows:

Here we use the property of similarity,

So,  

MN ≅ TU, NP ≅ US , and MP ≅ TS

Based on this

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

As

m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64

x = 32

As, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

= 14°

Therefore the above are the answers.

Learn more: brainly.com/question/19359082

Charlie know that 3 blocks are needed to make a tower that is 0.5 foot high. How many blocks will he need to make a tower that is 4 feet high

Answers

Answer:

6 feet

Step-by-step explanation:

that is the answer

HELP ASAPPPP!! PLEASEEEEEEE

WILL GIVE BRAINLIEST

Drag and drop each pair of points into the correct category to show whether each set of points is on a line that
has a positive slope, negative slope, zero slope, or undefined slope.

Answers

The answer is 357814

What's the answer help pls

Answers

Answer:

48°

Step-by-step explanation:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)

Two Angles are Supplementary when they add up to 180 degrees.

HENCE,

∠A + ∠B =180 (given)

⇒4x - 16 +8x + 4 = 180°

⇒12x - 12 = 180°

⇒12x = 192

⇒x = 16 ----1

substituting eq1 in ∠A,

=> 4(16) -16

=> 64 - 16

=> ∠A = 48°

Answer:

48

Step-by-step explanation:

The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this

4x-16+8x+4=180

combine like terms

12x-12=180

12x=192

divide to get x

x=16.

You need the measure of angle A so you plug it back in

4(16)-16

64-16

48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132

Will mark brainliest!plz help

EXTRA POINTS!

Answer both questions...

Scientists discovered the ozone layer was depleting at a rapid rate. At the beginning of the study the ozone layer was 3 millimeters thick. Throughout the study it depleted at a rate of 0.04 Millimeters per week.
Which function can be used to find the thickness of the ozone layer in meteres x days sconce the study ?

A) T(x)=-0.04(x+3)

B) T(x)=0.04(x+3)

C) T(x)=0.04x+3

D) T(x)=-0.04x+3



Answers

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

-6t-7=17 what does t equal

Answers

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON

Answers

Answer:

Its C

Step-by-step explanation:

Maya is shopping with her mother. They pay $2 per pound for tomatoes at the veggie stand. Find the constant of proportionality ​​

Answers

Answer:

djhvfhdvfhdfjhdjf

Step-by-step explanation:

dhfhjegfjhdbjfhbdjfgsdj

4x+5 equivalent expression

Answers

Answer:

20

Step-by-step explanation:

Jsksjsheb snnb shake s s be

A group of 17 men and 24 women are attending an awards banquet. Each banquet table can seat 8 people.

What is the least number of tables needed for the banquet?

Answers

Answer:

6

Step-by-step explanation:

because u add them together and get 41, which is 5.125 and that means you need one more than 5 tables to sit everyone

1
The area of a rectangular dog pen is 8-square feet.
2
2
If the width is 3 feet, what is the length, in feet?

Answers

The answer would be 2.7 if rounded to the nearest tenth. The actual answer is 2.66666 and so on. I know this because since the area is 8, we have to figure out 3 times __ equals 8. So the answer would be round about 2.7

Let f (x) = 3x - 4. Determine the equation of f 1 (2)

Answers

Answer:

2

Step-by-step explanation:

f(2)=3(2)-4

hope this helps :)

Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

Answers

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7) 0.356

b) log₇ (¹⁴⁷/₁₆)

log (¹⁴⁷/₁₆)

          log (7)

1.1397

Sara has $75 to spend on clothes. She wants to buy a pair of jeans that cost $27 and spend
the rest on t-shirts. Each t-shirt costs $8. How many t-shirts can Sara afford to buy?

Answers

Sara can afford 6 t-shirts

Estimate each quotient 7 divide by 0.85 9.6 divide by 0.91 17.7 divide by 3.2 = 18 divide by 3 =6 I need help with the first two and check the third one

Answers

Answer:

8.2, 10.5, 5.5

Step-by-step explanation:

To find: quotient when 7 is divided by 0.85, 9.6 is divided by 0.91 and 17.7 is divided by 3.2

Solution:

Division is one of the arithmetic operations.

7 divided by 0.85 = [tex]\frac{7}{0.85}=\frac{700}{85} =8.2[/tex]

9.6 divided by 0.91 = [tex]\frac{9.6}{0.91}=\frac{960}{91} =10.5[/tex]

17.7 divided by 3.2 = [tex]\frac{17.7}{3.2}=\frac{177}{32} =5.5[/tex]

Solve the following formula for b

4a - b=c

Answers

Answer:

b= 4a-c

Step-by-step explanation:

There isnt an actual number you can solve for here so just say what b equals to.

4a-b=c

Move b

4a=b+c

Move C

4a-c=b

Select all of the following that represent quadratic expressions:
A.3x(2)+ 2x

B.2x – 5

C.(x + 2)(x + 1)
D.X(3) +x+1

Answers

C. (x + 2)(x + 1)

it can be turned into an equation :)

I will give you branilest!

Zeno jumped 8 meters. Then he jumped half as far again (4 meters). Then he jumped half as far again (2 meters). So after 3 jumps, he was 8 + 4 + 2 = 14 meters from his starting place.



a. Zeno kept jumping half as far again. How far would he be after 4 jumps?

Answers

Answer:

15.875m

Step-by-step explanation:

8 + 4 + 2 + 1 + 0.5 + 0.25 + 0.125 = 15.875

Select the correct answer.
Which of the graphs below represents the equation 3x - 2y = -12

Answers

Answer:

Graph B

Step-by-step explanation:

First you solve them which will give you,

X-intercept = (-4,0)

Y-intercept = (0,6)

Slope 3/2x

equation for this: y = 3/2x + 6

So graph B is the only option like this.

Graph B because it is going uphill and has x and y- intercepts and is on the quadrant of the graph where there are positives and negatives. The answer is graph B

Please answer the 2 blank ones I will give brainliest

Answers

Answer:

Horizontal lines have a slope of zero no matter where the line is graphed. This is because the rise of any horizontal line will always be zero, regardless of the x values.


Which situation is best expressed by the quantity -100?
O a child on the deck of a ship 100 feet above sea level

O a temperature reading of 100°F

O a dolphin swimming 100 feet below sea level

O a man swimming 100 feet in a pool

Answers

Answer:

a dolphin swimming 100 feet below sea level

Step-by-step explanation:

Plato

Un mes Rodrigo alquiló 2 películas y 3 juegos de video con un costo total de $230.50. El próximo mes él alquiló 4 películas y 8 juegos de video con un costo total de $580.00. Hallar el costo de alquiler de cada película y de cada juego de video.

Answers

Answer:

El costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Step-by-step explanation:

A partir de la información proporcionada, puedes escribir las siguientes ecuaciones:

4x+8y=580 (1)

2x+3y=230.50 (2), donde:

"x" es el costo de alquiler de cada película y "y" es el costo de alquiler de cada juego de video.

Primero, puedes despejar x en (1):

4x=580-8y

x=145-2y (3)

Segundo, debes reemplazar (3) en (2):

2(145-2y)+3y=230.50

290-4y+3y=230.50

290-230.50=4y-3y

y=59.50

Tercero, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=145-2(59.50)

x145-119

x=26

De acuerdo a esto, la respuesta es que el costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36

Answers

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

11 What is most likely the equation of the graph below?

Answers

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/down

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON

Answers

Isn’t the answer 3:4?

You could also do .75:1

x to the forth power ÷ 3+9 when x=3​

Answers

3^4/3+9
81/3+9
27+9=36
answer=36

Answer:

36

Step-by-step explanation:

Ok, so the expression we are given is [tex]x^{4}[/tex] ÷ 3 + 9.

We know that x = 3, so we need to substitute 3 in as x.

So, now the expression looks like [tex]3^{4}[/tex] ÷ 3 + 9.

Now we can solve this expression.

First we need to figure out what  [tex]3^{4}[/tex] is equal to.

1.  [tex]3^{4}[/tex] = 81

We're left with 81 ÷ 3 + 9.

Next, we need to divide our 81 by our 3.

2.  81 ÷ 3 = 27

Our new expression is 27 + 9.

Last, we need to add our 27 and our 9 together.

3.  27 + 9 = 36

Our answer is 36.

So [tex]x^{4}[/tex] ÷ 3 + 9 when x = 3 is 36.

Feel free to give brainliest.

Have a great day!

Solve for X, Similar triangles

Answers

Answer:

x = √75

Step-by-step explanation:

We can write out all relations of each triangle here using the Pythagorean theorem (there are 3 triangles total). The triangles are ABD, BCD, and ABC.

For triangle ABD:

AB² = AD² + BD²

AB² = (AC - DC)² + BD²

y² = (15 - 5)² + BD²

y² = 100 + BD²

For triangle BCD:

x² = BD² + 5²

x² = BD² + 25

For triangle ABC:

15² = x² + y²

225 = x² + y²

From here we can substitute into the equation ABC. We can substitute x² and y² with our first and second equations.

225 = BD² + 25 + 100 + BD²

225 = 2BD² + 125

100 = 2BD²

50 = BD²

We don't need to solve for BD, we can substitute it into our equation for triangle BCD to solve for x.

x² = BD² + 25

x² = 50 + 25

x² = 75

x = √75

Please help me! (Picture)
ASAP!
Will mark brainliest if correct!

Answers

Answer:

y=(1/2)x+3

Step-by-step explanation:

We can see that the slope is 1/2 because for every 1 unit y goes up, you move 2 units in the x direction. Then we can see that the y intercept is 3.

If we plug in these values to our equation for a line (y=mx+b), where m is the slope and b is the y-intercept, we get:

y=(1/2)x+3 or y=.5x+3

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