what is the function rule for the transformed with vertical stretch by a factor of 2 and translated down 6

Answers

Answer 1

Answer: Thus, the equation of a function stretched vertically by a factor of 2 and then shifted 3 units up is y = 2f (x) + 6, and the equation of a function stretched horizontally by a factor of 2 and then shifted 6 units left is y = f ( (x - 6)) = f ( x - ). Example: f (x) = 2x2.

Step-by-step explanation:


Related Questions

In 2006, there were 72 million dogs in U.S. Homes. In 2010, there were 70 million dogs. What was the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010? A. about 0.03% B. about 0.97% C. about 3% D. about 97% Speed: NormalVoice: Female Volume: 70%

Answers

Answer: C. about 3%

Step-by-step explanation:

In 2006 , Number of dogs in U.S. dogs  = 72 million

In 2010, Number of dogs in U.S. dogs  = 70 million

The percent decrease in the number of dogs in U.S. Homes from 2006 to 2010  =

[tex]\dfrac{\text{Change in number of dogs}}{\text{Number of dogs in 2006}}\times100\%\\\\=\dfrac{(72-70)\text{ million}}{70\text{ million}}\times100\%\\\\=\dfrac{2}{7}\times10\%\approx3\%[/tex]

So, the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 was about 3%.

Hence, the correct option is C. about 3%

A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W

Answers

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let [tex]\vec v = (25, 25\sqrt{3})[/tex], where [tex]\vec v[/tex] is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat ([tex]\theta[/tex]), measured in sexagesimal degrees, is determined by trigonometrical means:

[tex]\theta = \tan^{-1}\frac{v_{y}}{v_{x}}[/tex] (1)

If we know that [tex]v_{x} = 25[/tex] and [tex]v_{y} = 25\sqrt{3}[/tex], then the directional bearing of the boat is:

[tex]\theta = \tan^{-1} \sqrt{3}[/tex]

[tex]\theta = 60^{\circ}[/tex]

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation:

a circle has a circumference of 54π cm what is the radius?

Answers

Answer:

circumfrence = 108

Step-by-step explanation:

Radius = half the circumfrence

radius * 2 = circum.

54*2 = 108

108 = circum

Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).

Answers

Answer:

1/2,5

Step-by-step explanation:

Answer:

1/2     5

Step-by-step explanation:

just got it right on edge

0.8 as a percentage?

Answers

Answer:

0.8 = 80%

Details:

To write a number as a percetage, just multiply the decimal value by 100. In this case we have: 0.8 × 100 = 80% (answer).

➥ The ease way:

1) Shift the decimal point two places to the right:

0.8 → 8 → 80.

2) Add a percent sign: 80%

Answer: 80%

Answer:

8% sorry if I'm wrong but I'm pretty sure

Find the slope of: A(-2,-4), B(2, 4) *

Answers

M=y2-y1/x2-x1
4-(-4)/2-(2)
8/4
M=2

Answer:

2/1

Step-by-step explanation:

Follow the formula: (y2 - y1) / (x2 - x1). So 4-(-4) and 2-(-2). A negative and a negative equal a positive so 8/4. Then simplify. Which gives you 2/1. Hope this helps.

The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )

Answers

Answer:

The slope is 7/5

Step-by-step explanation:

Here, we want to find the slope of the line

We use the slope equation

m = (y2-y1)/(x2-x1)

m = (35-70)/(25-50) = -35/-25 = 7/5

what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5

Or simply put

To form a purple color, add 7 part red to 5 parts blue drops

20 points hurry plz due in 1 hr

Answers

Answer:

2*2*2*3*3*5*7 is the answer

or B

Step-by-step explanation:

Answer:

answer 2

Step-by-step explanation:

Use the graph to determine the input values that
correspond with f(x) = 1.
Ox=4
O x = 1 and x = 4
O x= -7 and x = 4
O x = -7 and x = 2

Answers

Answer: x = -7 and x = 2

(x,y)

look at the 2 that y=1

Using the graph the input values that correspond with f(x) = 1 is x = -7 and x = 2.

What is graph?

A graph is a visual representation of data or information, often used to show the relationship between variables.

The given graph is of a function f(x) which is shown on the y-axis. The horizontal line at y = 1 is also shown on the graph.

To find the input values that correspond with f(x) = 1, we need to look for the points where the function f(x) intersects with the horizontal line y = 1.

From the graph, we can see that there are two such points:

One point is where the function intersects the line at x = -7. At this point, f(x) = 1, since the function value is equal to the y-coordinate of the intersection point.

The other point is where the function intersects the line at x = 2. At this point, f(x) = 1 as well.

Therefore, the input values that correspond with f(x) = 1 are x = -7 and x = 2. So the answer is "x = -7 and x = 2".

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9) State the coordinates of the endpoints of a
line segment that intersects the y-axis.

Answers

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

[tex]y_1 = y_2 = y[/tex]

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] becomes [tex](x_1,y)[/tex] and [tex](x_2,y)[/tex]

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

[tex](5,4)[/tex] and [tex](3,4)[/tex]

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form [tex](x_1,y)[/tex] and [tex](x_2,y)[/tex]

Take for instance, another possible pair is:

[tex](1,-3)[/tex] and [tex](0,-3)[/tex]

I’ll give the Brainliest to who answers this question with a reasonable explanation.

What is the ratio of circumference to diameter for the circle with a 7.2 cm circumference?

A) 22.61 cm/7.2 cm

B) 20.10 cm/7.2 cm

C) 7.2 cm/20.10 cm

D) 7.2 cm/22.61 cm

Thank you!

Answers

Answer:

I

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So it’s asking for the ratio for a diameter of 7.2 so if you look at the table 22.61 is the one next to it. So it’s A because it says circumference to diameter not diameter to circumference

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the
height down to 3 in., how wide should the similar photo be?

Answers

Answer: 2 inches in width

Step-by-step explanation:

4 - 6

divide both by 2

2 - 3

The width of a similar photo comes to be 2 inches.

Width of original photo = 4 inches

Height of the original photo = 6 inches

Height of the scaled photo = 3 inches

What is the scale factor?

A scale factor is a number that multiplies (“scales”) a quantity.

Scale factor = height of scaled photo/ height of the original photo

Scale factor= 3/6 = 1/2

So, the width of the scaled photo = scale factor * width of the original photo

The width of the scaled photo = (1/2)*4

The width of the scaled photo =2 inches.

Therefore, the width of a similar photo comes to be 2 inches.

To get more about scaling visit:

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−3(4 – 3x) = 5x + 16 what is x?

Answers

Answer:

x = 7 (i think..)

Step-by-step explanation:

-3 (4 - 3x) = 5x + 16

* multiple -3 to each number in the parenthesis

-12 + 9x = 5x + 16

* add 12 to both sides to cancel it and combine like terms on the other side

9x = 5x + 28

* subtract 5x from both sides to cancel it out and combine like terms

4x = 28

* divide 4 from both sides to get x alone

x = 7

What is the slope of the line 6,3 and 3,2

Answers

The equation of a line passing through (x1,y1) having slope m is y−y1=m(x−x1) . Therefore, the equation of a line passing through (6,−3) having slope 23 is y−(−3)=23(x−6)or3(y+3)=2(x−6)or2x−3y=21

A bakery delivers a total of 2176 cookies equally to 8 coffee shops daily. How many cookies does the bakery deliver to each coffee shop in one week

Answers

Answer:

1904 cookies

Step-by-step explanation:

2176/8=272

272 is how many cookies a shop gets a day

272x7=1904

Hope this helps

what is the cost per ounce for 10 ounce package of cashews

Answers

Answer:

you have to give more explanation as right now the equation is unsolvable

Step-by-step explanation:

[tex]5x+3\ \textless \ 16[/tex]

Answers

5x < 13 i think hope this helps

Given f(x) = 17(3+x) what is the value of f(-2)

Answers

Answer:

Step-by-step explanation:

f ( x ) = 17 ( 3 + x )

f ( -2 ) = 17 ( 3 + -2 )

f ( -2 ) = 51 + -34

f ( -2 ) = 17

= 17

What is f(5) for the function f(x)= 2x+4?

f(5)=?

Answers

Answer:

5=2x+4

5-4=2x

1=2x

x=1/2

Answer:

if f(x)=2x+4

Then f(5)=2•5+4=14

The answer is 14

A bag contains 6 red marbles, 7 white marbles, and 8 blue marbles. Find P(Green)

Answers

Answer:

Is there a picture or choices?

Step-by-step explanation:

Juanita constructed a number line to test her brother's understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A. A number line going from negative 20 to positive 20 in increments of 5. The points are: negative 20, blank, A, B, 0, 5, C, blank, D. Which represents the opposite of Point A? Negative (negative 10) Negative (negative 5) 0 Negative (10)

Answers

Answer: Negative (negative 10)

Step-by-step explanation:

Given that:

- 20, blank, A, B, 0, 5, C, blank, D in Increment of 5

-20, - 15, - 10, - 5, 0, 5, 10, 15, 20

The point A on the number line is - 10 ;

The opposite of point A : will be

- (point A) = - (-10)

The opposite of point A should be (10) which is the equivalent point to the right of the number line and can be represented as - (-10)

Answer:

-(-10)

Step-by-step explanation:

the other person is correct

edge 2020/2021

Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5

Answers

Answer:

A.n ≤ 6

Step-by-step explanation:

A. n ≤ 6

May I have brainliest please? :)

HELP I HAVE 10 MINUTES!!
-109+9x=86-4x

Answers

Answer:

x=15

Step-by-step explanation:

[tex]-109+9x=86-4x\\ +109+4x=+109+4x\\13x=195\\x=15[/tex]

add 109 to both sides and add 4x to other sides

divide 13 by 195

What is the purpose of a regression line?

to connect all the points in a scatterplot
to show the general tendency of the points in a scatterplot
to provide a scale for the x-coordinates of the points in a scatterplot
to provide a scale for the y-coordinates of the points in a scatterplot

Answers

Answer:

B). to show the general tendency of the points in a scatterplot

Step-by-step explanation:

The purpose of a regression line is to show the general tendency of the points in a scatterplot option (B) is correct.

What is a regression line?

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

It is given that:

The regression line is a line of best fit.

From the definition of the regression line, line is a graph that illustrates the pattern of a group of statistics and to show the general tendency of the points in a scatterplot.

Thus, the purpose of a regression line is to show the general tendency of the points in a scatterplot option (B) is correct.

Learn more about the regression line here:

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ANSWER THIS PLSSSS ASAPPPPP

Answers

Answer:

3rd choice (1, -6)

Step-by-step explanation:

What is the equation of the line shown in the graph?​

Answers

Answer:

y=4x-3

Step-by-step explanation:

We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).

Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.

Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.

Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.

An isotope of iodine has a mass of 134 amu. How many neutrons does the
isotope contain?
A. 67
B.153
C. 81
D. 74

Answers

Answer:

The correct option is C: the isotope of iodine contains 81 neutrons.

Step-by-step explanation:

The mass (A) of the iodine isotope is given by:

[tex]A = Z + N[/tex]

Where:

Z: is the number of protons

N: is the number of neutrons

For iodine Z= 53, so if A = 134 the number of neutrons is:

[tex] N = A - Z = 134 - 53 = 81 [/tex]

Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.

I hope it helps you!

What is 6/7 x 8-/9 hi ok pls help

Answers

Answer:

48/63

Step-by-step explanation:

16/21 in fraction form

Answer:

-16/21

Step-by-step explanation:

Multiply the numerators together then the denominators. (-48/63)

Reduce Divide each side by 3 (-16/21)

Select all diagrams that show 4 x 1/3

Answers

Answer:

b

d

Step-by-step explanation:

i need help with this please mathematics

Answers

i dont see anything
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