Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph of f(x)=|x|.


g(x)=

Answers

Answer 1

Answer:

[tex]g(x) = |x - 3|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Required

Translate 3 units right

The result of a right translated function is:

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

Where h is the unit of translation

[tex]h = 3[/tex]

[tex]g(x) = f(x - 3)[/tex]

Solve for f(x - 3)

[tex]f(x) = |x|[/tex]

[tex]f(x - 3) = |x - 3|[/tex]

Hence;

[tex]g(x) = |x - 3|[/tex]


Related Questions

What is the answer to 2x >/= -6 + x-1<0 ?

Answers

Answer:

x  < 7

Step-by-step explanation:

The sum of a rational number and an irrational
number is
rational.
DONE

Answers

Answer:

Step-by-step explanation:

The sum of any rational number and any irrational number will always be an irrational number.

3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780

Answers

Answer:

1992

Step-by-step explanation:

don't think you need an explanation...

Answer:

3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780=1992.

Step-by-step explanation:

follow the order of operations and you will easily get the answer!

3x+7y-12 where x=-4 and y= 6 *

Answers

Replace x any with their values:

3(-4) + 7(6) -12

Simplify:

-12 + 42 -12

Solve:

-12 + 42 -12 = 42

Answer:

42

Step-by-step explanation:

3(4)+7(6)-12

12+42-12

54-12

42

what is √343 in simplest form​

Answers

Answer:

343½ = 7 x 7½

Step-by-step explanation:

Step 1: List Factors. List the factors of 343 like so:

Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:

Step 3: Divide. ...

343 / 49 = 7.

Step 4: Calculate.

Step 5: Get Answer.

Answer:

[tex]7\sqrt{7}[/tex]

Step-by-step explanation:

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

Can you find the number of triangles in the given figure?​

Answers

Answer:

20?

Step-by-step explanation:

f(x) = x^2- 2x- 3
g(x) = 5x^2
²
Find f (g(x)) -

Answers

Greetings from Brasil...

For the composite function F(G(X)), just replace the function G(X) in the X of F(X):

F(X) = X² - 2X - 3

G(X) = 5X²

F(G(X)) = [G(X)]² - 2 · [G(X)] - 3

F(G(X)) = [5X²]² - 2 · [5X²] - 3

F(G(X)) = 25X⁴ - 10X² - 3

Anyone know the answer to
13x-4=11x+10-8

Answers

Answer:

Step-by-step explanation:

13x - 4 = 11x + 2

2x - 4 = 2

2x = 6

x = 3

4x-7=7x-61 solve for x

Answers

Answer:

x = 18

Step-by-step explanation:

4x - 7 = 7x - 61

Subtract 7x from both sides

That's

4x - 7x - 7 = 7x - 7x - 61

- 3x - 7 = - 61

Add 7 to both sides

We have

- 3x + 7 - 7 = - 61 + 7

- 3x = - 54

Divide both sides by - 3

That's

[tex] \frac{ - 3x}{ - 3} = \frac{ - 54}{ - 3} [/tex]

We have the final answer as

x = 18

Hope this helps you

Answer: 18

Step-by-step explanation:

4x - 7 = 7x - 61

    +61        +61

4x + 54 = 7x

divide both sides by 4

x + 27/2 = 7/4x

-x                  -x

27/2 = 3/4x

divide both sides by 3/4

x = 18

I need help will mark as BRAINIEST
Identify the function family of a graph that is made up of two straight lines, has an absolute
maximum or absolute minimum, and is symmetric.

Answers

Answer:

The answer is Linear absolute value .

I hope I helped ;-)

Step-by-step explanation:

Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.

Answers

The least common denominator of the fractions 2/9 and 3/4 is 36

How to determine the least common denominator?

The fractions are given as 2/9 and 3/4

The denominators in the above fractions are 9 and 4

List the multiples of 9 and 4

9: 9, 18, 27, 36, 45

4: 4, 8, 12, 16, 20............, 36, 40....

The smallest common multiple in the above list is 36

Hence, the least common denominator of 2/9 and 3/4 is 36

Read more about least common denominator at:

https://brainly.com/question/238567

A rectangular hotel room is 4 yards by 5 yards. The owner of the hotel wants to recarpet the room with carpet that costs $51.92 per square yard. How much will it cost to recarpet the room?​

Answers

Answer:

it will cost him $2204 to recarpet the room.

Step-by-step explanation:

The floor of the room is rectangular. The formula for determining the area of a rectangle is expressed as

Area = length × width

The rectangular hotel room is 4 yards by 7 yards. It means that the area of the rectangular floor would be

Area = 4 × 7 = 28 square yard.

If the cost of the carpet $58.00 per square yard, the total that it will cost to recarpet the room would be

38 × 58.00 = $2204

Determine the number of solutions,

y = -x-4
12y + 48 = 8x

Answers

Answer:

  one solution

Step-by-step explanation:

The ratios of x-coefficient to y-coefficient for these equations are -1 and 2/3. These values are different, so the lines have one point of intersection.

There is one solution.

__

The solution is (x, y) = (0, -4).

Help someone please !!!!!!!!!!!!!!!!!!!!!!! The temperature one winter morning is -12 degrees fahrenheit,by noon,the temperatures rises by 5 degrees,and by 4p.m,the temperatures is 0 degrees. By how many degrees does the temperatures rise between noon and 4p.m., in degrees fahrenheit?? ​

Answers

Answer:

The temperature rises 7 degrees between noon and 4pm.

Step-by-step explanation:

First, you add 5 to the -12. This gets you to the answer of 7. Then, since the temp. rises to 0 degrees by 4, you know that the difference between noon and 4 pm is 7 degrees.

Find the median and mean of the data set below: 35 , 28 , 19 , 18

Answers

Answer:

Hi there!

Your answer is:

Median: 23.5

Mean: 25

Step-by-step explanation:

The mean is the average of all the numbers in your dataset. You determine this by adding all the numbers together and dividing by the # of numbers in your set!

35+28+19+18 = 100.

100/4 = 25

The median is the middle number of your data set! This is determined by counting off the numbers from each side of the equation after setting them in order from least to greatest. If there are 2 remaining, you must find the average of those!

35 , 28, 19 , 18 from least to greatest is

18, 19, 28, 35

/. /

Now find the average of 19 and 28!

19+28 = 47

47/2 = 23.5

Answer:

Step-by-step explanation:

Find the median and mean of the data set below:29,39,28,5029,39,28,50

PLZ HURRY IT'S URGENT!!

The sum of a number and six is seven times the number.


Which is a translation of the sentence into an equation?



n + 6 = 7n



n − 6 = 7n



7(n + 6) = n



n = 7n + 6

Answers

Answer:

n + 6 = 7n

Step-by-step explanation:

"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.

n − 6 = 7n is not right because the statement says the sum of a number and six.

7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.

n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.

6(x+9)+7x+14= Distributive Property=simplifying am Expression By multiplying a number a sum or difference.

Answers

Answer:

13x+38

Step-by-step explanation:

hope this'll help

what is the domain and range of relation (4,3)(-2,2)(5,-6)

Answers

Domain: {-2, 4, 5}
Range {-6, 2, 3}

Which parallelogram has an area of 60 square units?

Answers

Answer:

The answer is B

Step-by-step explanation:

Multiply base•height

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units.

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

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

[tex]A = hb[/tex]

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

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of [tex]15 \times 10 = 150[/tex].In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of [tex]6 \times 10.2 = 61.2[/tex].In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of [tex]15 \times 15 = 225[/tex].In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of [tex]10 \times 6 = 60[/tex], which means that this is the correct option.

A similar problem is given at https://brainly.com/question/14099239

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5

Answers

Answer:

The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].

Step-by-step explanation:

We know that the slope-intercept form of the equation of the line is represented by:

[tex]y = m\cdot x + b[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

From statement we find that [tex]m =-\frac{3}{5}[/tex]. If [tex]x = -5[/tex] and [tex]y = -1[/tex], the value of the y-intercept is:

[tex]-1 =-\frac{3}{5}\cdot (-5)+b[/tex]

[tex]-1 = 3 + b[/tex]

[tex]b = -4[/tex]

The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].

4+2i/2−i solve for this expression​

Answers

Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]

Step-by-step explanation:

Multiply the numerator and denominator of [tex]\frac{4+2i}{2-i}[/tex] by the conjugate of  [tex]2-i[/tex] to make the denominator real.

[tex]\frac{4+2i}{2-i}*\frac{2+i}{2+i}[/tex]

Multiply using the distributive property (foil method)

[tex]\frac{6+8i}{5}[/tex]

Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]

Simplify the expression:-5-(-26)​

Answers

Answer:

21

Step-by-step explanation:

-(-26) would be positive 26 because one negative multiplied by another negative equals a positive. We are left with -5+26 which would equal 21.

The simplified answer is 31

What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 3 units from the origin?

Answers

Answer: X=27y+3r                  jkjkljlkjlkjljljkljkjkljlkjlkjlkjlkjlkjlkjkljlkjlkj

Will Mark BRAINLIEST!
We want to factor the following expression:
(x + 5)^4 + 2(x + 5)^2 - 1
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.

Answers

Answer:

We can’t use any of the patterns

Explanation: I took the quiz

3x6 even or odd? Please

Answers

Answer:

it is even .............

Answer:

3x6=18 so its even

Step-by-step explanation:

Can someone help me with this please?

Answers

Answer:

1 over 2 is the slope :)

Step-by-step explanation:

1 over 2 is the slope

9a-ab+5b
if a=2 and b=7​

Answers

Answer:

39

Step-by-step explanation:

9a=18    ab=14     5b=35

18-14+35=39

Answer:

39

Step-by-step explanation:

9a-ab+5b

a=2 and b=7

we substitute the variables with their real numbers

9(2)-(2 x 7)+5(7)

from here we just simplify the equation

18-14+35=39

What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x-35
A. Vertex: (1, -36); intercepts: x = 7,-5
B. Vertex: (0,0); intercepts: x= -4,-5
C. Vertex: (7,5); intercepts: x = 7,8
D. Vertex: (1, -25); intercepts: x = 6,-4

Answers

Answer:the answer is A

Step-by-step explanation:

The vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The x-coordinate of the vertex can be found using the formula x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = -2, so x = -(-2)/(2×1) = 1.

Lets find the y-coordinate of the vertex.

To find the y-coordinate of the vertex, we substitute the x-coordinate we found in step 1 into the equation and evaluate.

y = (1)² - 2(1) - 35 = -36

So the vertex is at (1, -36).

Now find the x-intercepts.

To find the x-intercepts, we set y = 0 and solve for x.

0 = x² - 2x - 35

This equation can be factored as (x - 7)(x + 5) = 0.

So the x-intercepts are at x = 7 and x = -5.

Therefore,  the vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

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What is the change in temperature from 15°F to -8°F?

Answers

Answer:

23 degrees

Step-by-step explanation:

15 - (-8)

15 + 8

23

Hope this helps :)

Answer: 23

Step-by-step explanation: hope this is right and it helps

Use a number line to help if needed.
6 Order the numbers from least to greatest.
a. -8, -6, -5, -7
b. -8.2, 6, -3.5, 8.2, -5

Answers

Answer:

A. -8,-7,-6,-5 B. -8.2,-5,-3.5,6,8.2

Step-by-step explanation:

A.) -8,-7,-6,-5

B.) -8.2, -5, -3.5, 6, 8.2

The greater numbers will appear closer to zero (specifically for negative numbers)
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