Write a rule for g described by the transformation of the graph of f...

Write A Rule For G Described By The Transformation Of The Graph Of F...

Answers

Answer 1

Answer:

[tex]g(x) = 4-4\sqrt{x}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4\sqrt{x}+1[/tex]

1. 5 units down translation

2. Reflection in the x-axis

Required

Determine the resulting function g

1. 5 units down translation

This is defined by the rule:

A down translation is:

[tex]f'(x) = f(x) - b[/tex]

Where b is the number of units.

So, we have:

[tex]f'(x) = 4\sqrt{x} + 1 - 5[/tex]

[tex]f'(x) = 4\sqrt{x} -4[/tex]

2. Reflection in the x-axis

For a function f(x),

When reflected over the x-axis, it becomes -f(x)

So:

[tex]g(x) = -f(x)[/tex]

[tex]g(x) = -(4\sqrt{x} - 4)[/tex]

[tex]g(x) = -4\sqrt{x} +4[/tex]

[tex]g(x) = 4-4\sqrt{x}[/tex]


Related Questions

When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

Answers

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Please help me i'm cri.

Answers

A.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Common Factors: 1, 2, 3, 4, 6, and 12

-----

B.

Factors of 16: 1, 2, 4, 8, and 16.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56

Common Factors: 1, 2, 4,  and 8

-----

C.

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.

Factors of 75: 1 , 3 , 5 , 15 , 25 and 75

Common Factors: 1, 3, 5, and 15.

-----

D.

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Common Factors: 1, 2, 3, 6, 9, and 18.

-----

E.

Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!

(05.06)Use a net to find the surface area of the right triangular prism shown below:

Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.

88 square feet
232 square feet
283 square feet
300 square feet

Answers

Answer: The answer is 300

Step-by-step explanation: The triangle formula = ( B · H) ÷ 2

B = 5     H = 12     5 · 12 = 60 ÷ 2 = 30

Since there is two triangles you will have two 30's.

The rectangle farthest to the right = 13 · 8 = 104

If you unfold the triangle it will line up perfectly with the 3 rectangles, so...

The middle rectangle = 5 · 8 = 40

The rectangle farthest to the right = 12×8 = 96

Add them all up

30 + 30 + 104 + 40 + 96 = 300

Hope this helped!

Answer:

300

Step-by-step explanation:

Factor equation
x2 – 5x – 6

Answers

Answer:

(x+1) (x−6)

Step-by-step explanation:

Answer:

x 2 − 5 x − 6

Step-by-step explanation:

A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the student add to both sides?

Answers

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

(b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

Learn more about the completing the square here:

https://brainly.com/question/4822356

#SPJ2

Cesar bought 20 boxes of pizza and gave 14 nosed away what percentage is left

Answers

Answer:

30%

Step-by-step explanation:

14/20 is 70% he gave away, so 30% is left.

Answer:

30%

Step-by-step explanation:

I hope this helps :)

A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?

Answers

Answer:

4 cups

Step-by-step explanation:

Find the unit rate for 6 and 2/5 cookies in 4 minutes ​

Answers

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

In one minute is 1.6 cookies.

To find the unit rate in cookies, we divide by 6 2/5.

For one cookie, there are 5/8 minutes.

1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!


Marilyn buys pens that cost $12 per dozen. What is the cost of one pen?
$12.00
$24.00
$1.00
$1.20

Answers

C is the correct answer as a dozen is twelve so the cost of one would be a dollar.
Your and would be: C) $1.00

Espano
A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
Write your answer as a fraction in simplest form.

Answers

Answer:

5/10 and 3/10

Step-by-step explanation:

because i believe that if u have 5 pencils and 5 pens all together thats 10 so it would be a 5/10 chance same with the second one hopefully this is right and i dont know if its simplified

solve for brainliest​

Answers

9514 1404 393

Answer:

∠W = 130∠X = 140∠Y = 50∠Z = 40

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

∠W = 130∠X = 140∠Y = 50∠Z = 40

Use a calculator to determine the answer to 4.25 x
6.86?
Your answer isn't correct yet.
Once you submit your answer, does this fit the same
pattern as all of the previous calculations. In the
explain box, explain why or why not.
Submit and Explain

Answers

You didn't provide enough information.

4.25 x 6.86 = 29.155

Round 342.296269789 to 2 decimal places.

Answers

Answer:

342.30

Step-by-step explanation:

342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.

0.15 + 0.1x = 1.1 ÷ 3 · 5.1 − 1.2

Answers

X=5.2

No way I’m going to type all that in lol

Determine the volume of a sphere with a diameter of 70 mm.
Question options:

A)

3,216.9 mm3

B)

100,024 mm3

C) CORRECT ANSWER

179,594.4 mm3

D)

21,714.7 mm3

Answers

Answer:

c.

Step-by-step explanation:

4/3 pi r²

4/3 × 3.142 or 22/7 × 3.5²

What do opposite rays form

Answers

Answer:

they form a single straight line:)

Answer:

a line

Step-by-step explanation:

Here is ray AB  

     A                         B

     +----------------------+------------------->

It starts at point A, goes through point B, and goes only in one direction, to the right. Points A and B lie on line AB.

Now I'll add an opposite ray whose endpoint is also point A.

             C                A                         B

<-----------+--------------+----------------------+------------------->

Ray AC also lies on the same line as ray AB, but starting at point A, it goes in the opposite direction of ray AB. When you add ray AC to its opposite ray AB, you get the entire line AB.

Answer: a line

Thorton's department store has a 30% off sale this week what is the sale price for a pair of $24 jeans

Answers

Answer:

The Sale Price is $16.80 Dollars

Step-by-step explanation:

First I find out what 30% of 24 is.

24 * 30% = 7.2

Next we subtract.

24 - 7.2 = 16.80

So, the answer is 16.80

Hope this helps! :)

A $65 drone is on sale for $51.35. What is the percent of discount?

Answers

Answer:

20% off

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

$51.35-65=13.65

13.65/65= -0.21

-0.21*100=-21

what type of number is -
[tex] \sqrt{16} [/tex]

Answers

Answer:

perfect square / rational

4

Step-by-step explanation:

Answer:

root of 16. or 4

Step-by-step explanation:

please help!!! if you can thank you so much and have a bless day!!!!

Answers

Answer:

6

Step-by-step explanation:

Determine the solution to the system of equations {4x+15y=40
-8x-5y=20}

And write your solution as an ordered pair.



Answers

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

2y - 2x = 8
y + 6x = 11

If (1,5) is the solution to the system of equations above, what is the value of 5y?​

Answers

Answer:

2

Step-by-step explanation:

is this for a test because if so good luck

Answer:

its 20 Period

Step-by-step explanation:

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample

Answers

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

i need help with this please

Answers

19.

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Answer:

x=4

Step-by-step explanation:

i used mathaway

3x+2 = 7x-14

Fiona enlarges a parallelogram that has a perimeter of 17 meters.

A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale

What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Answer: C. 102 cm

Step-by-step explanation:

I took the quiz on Edge, and it is correct.

A $60 sweater is on sale for 25% off. What is the sale price of the sweater?​

Answers

Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

The area of the parallelogram is 315 square units. What is the height of the parallelogram?


WILL GIVE BRAINLEST

Answers

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

A system of linear equations is graphed below

Which coordinate point represents the solution?

A : (2, 2)
B : (0 , 40)
C : (40 , 0)
D : (20 , 20)

Answers

Answer: D

Step-by-step explanation: 20,20

pls help me:(!!!!!!!!!!

Answers

Answer:

A.........................

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