Write a function g whose graph is a vertical stretch by a factor of 3 of the graph of f(x)=|x|-5. g(x)=

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

A vertical stretch by a factor of 3 of the graph of f(x) will result in:

g(x) = 3 f(x)

This gives us:

g(x) = 3( |x| - 5) = 3|x| - 15
Answer 2

The function g(x) after a vertical stretch by a factor of 3 can be defined as follows:

g(x) = 3(|x| - 5)

To create a function g(x) that is a vertical stretch by a factor of 3 of the graph of f(x) = |x| - 5, you can simply multiply the entire function f(x) by 3.

This will stretch the graph vertically while maintaining the same shape.

Therefore, the function g(x) can be defined as follows:

g(x) = 3(|x| - 5)

This function takes the absolute value of x, subtracts 5, and then multiplies the result by 3, resulting in a vertical stretch of the graph of f(x).

The vertical stretch by a factor of 3 means that the y-coordinates of all points on the graph are multiplied by 3, making the graph taller compared to the original f(x) graph.

Hence the function g(x) after the vertical stretch is g(x) = 3(|x|-5).

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Write A Function G Whose Graph Is A Vertical Stretch By A Factor Of 3 Of The Graph Of F(x)=|x|-5. G(x)=

Related Questions

Find the missing dimension of the cylinder. Volume = 3785 cm^3 height is 19 cm i need to find the radius

Answers

Answer:

r ≈ 7.963 cm

Step-by-step explanation:

Given the following dimensions of a cylinder:

Volume (V) = 3785 cm³

Height (h) = 19 cm

In order to find the value of the radius, it is necessary to determine the formula for finding the radius of a cylinder.

The formula for finding the volume of a cylinder is:  V = πr ²h

To isolate the radius, start by dividing both sides by π × h :

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:\frac{\pi\:r^{2}\:h} {\pi\times\:h}}[/tex]

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:r^{2}}[/tex]

Next, take the square root of both sides to isolate r :

[tex]\mathsf{\sqrt{\frac{V}{\pi\times\:h}} = \sqrt{r^{2}}}[/tex]

[tex]\mathsf{\:r\:=\:\sqrt{\frac{V}{\pi\times\:h}}}[/tex]

Now, we can finally substitute the given values into the formula for radius, r:

[tex]\mathsf{\:r\:=\:\sqrt{\frac{3785}{\pi\times\:19}}}[/tex]

r ≈ 7.963 cm

Therefore, the radius of the cylinder is 7.963 cm.

Find the equation of the line with slope m = 4/5 that contains the point (10, 11)

Answers

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

Write 4.5kg : 1500g as a ratio in its simplest form

Answers

Answer:

3 : 1

Step-by-step explanation:

The values must be in the same quantity

1 Kg = 1000 g

4.5 Kg = 4.5 × 1000 = 4500 g

Then

4.5 Kg : 1500 g

= 4500 g : 1500 g ( divide both parts by 1500 )

= 3 : 1 ( in simplest form )

The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1

What is a ratio?

A ratio is a measure of the number of times one quantity is contained in or contains another quantity.

To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.

1 kg = 1,000g

Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g

The ratio 4.5 kg : 1,500 g can be written as follows;

4,500 g : 1,500 g

The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;

4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500)  = 3 : 1

Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1

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How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

Select all of the trips that would take two hours.
a. Drive 60 miles per hour between Raleigh and
Wilmington, which are 120 miles apart

b. Walk 3 miles per hour to school, which is ½ mile
away

c. Take a train going 70 miles per hour from Hershey to
Philadelphia, which are 140 miles apart

Answers

Answer:

A and C

Step-by-step explanation:

ive seen this question before

Solve the giving equation 2x-4=24 what’s the first step.

Answers

Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

What is an equation?

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

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What is the y-intercept of the graph below?

Answers

Answer:

the y intercept is 2

Step-by-step explanation:

we can see this because the line crossed the 2 on the y axis line

What is a negative z score and when would it be in your favor to have one?

Answers

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.

The negative z-score indicates that a particular value will be less than the mean.

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Which triangles are congruent in the figure?

Answers

Answer:

ΔJLK≅ ΔMLN

Step-by-step explanation:

SSS

How to find maxima and minima without derivatives.

Answers

Answer:

Finding out the relative maxima and minima for a function can be done by observing the graph of that function

Round to the Nearest hundred

The equation of the line of best fit of the data is y = ________

The correlation coefficient is r = ______​

Answers

Answer:

54353456452

Step-by-step explanation:

364564

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Done

Step-by-step explanation:

Missing reasons:

2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASA

Callum says that every number is greater than its opposite. Do you agree?

Answers

Answer:

I disagree with Callum because the opposite of -1 is 1 and a positive number is greater than a negative number. If Callum wants to be right then he has to say every positive number is greater than its opposite in order to be true.

Step-by-step explanation:

what is happening at this step in the equation solving process for 3x+7=5x
7=2x

Answers

Your subtracting 3x from 5x: 5x-3x
This is so you only have a variable on one side
3x+7=5x
-3x -3x
7=2x
(Divide both sides by 2)
x=3.5

What is the value of p²q² given that p=10 and q=8?

Answers

Answer:

6400

Step-by-step explanation:

Substitute the given value into the expression

p²q²

= 10² × 8²

= 100 × 64

= 6400

Step-by-step explanation:

given that p=10

you would times 10 by itself so:

10x10=100

now the same for the q=8

8x8=64

now i think you would have to times 100 with 64 if not than there's your answer

which equals to 6400 (if you times it)

hope that helps

I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

a.  3

b. -10

c. 0

dddwdwcd

A mountain climber started at zero elevation. The first day he hiked 10 miles up
the mountain, the second day it got steeper and only hiked 3 miles, the third day he
had to detour and went down 4 miles and the last day he went up 1 mile. How far
did he get up the mountain?

Answers

Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

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two hundred parents attend the grade 6 orientation last year. Only 160 parents attended this year. fimd the percent of decrease in the attendance ​

Answers

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

Answers

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.

Since the divisor is a unit value, we will not be rounding it up.

Take the quotient of 600 and 4.

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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Which of the following is the equation of a line that is perpendicular to the graph y=2/5x-1

Answers

Answer:

-5/2 is the answer

Step-by-step explanation:

Yes or No

Please answer

Answers

yes yes no

good luck

Pls hurry Accurate Answer= Brainlist

Answers

Step-by-step explanation:

it would have to be practically the same equation.

because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).

the only one being exactly the same as the original equation is the fourth option

y = 2(x + 5)

because that is

y = 2x + 10

the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value

Answers

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

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the sum of 4√5+√5 is .......

Answers

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

mark as brialist pls

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

Help me please!!!!!!!!!!!!!!!!!!

Answers

Answer:

d.

took the test

Step-by-step explanation:

The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in like 15 minutes so please hurry)

Answers

Would appreciate brainly <3

Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.​

Answers

Answer:

m + s = 352m + 5s = 100

Step-by-step explanation:

There are a total of 35 questions on a test:

m + s = 35

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

2m + 5s = 100
Pens be mPencils be s

The condition is

There are total 35pens to buy.

[tex]\\ \sf\longmapsto m+s=35[/tex]

Each pen costs 2$Each pencil costs 5$You have 100$

[tex]\\ \sf\longmapsto 2m+5s=100[/tex]

Combining Like Terms -

Answers

Answer:

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

6 is no, -8 is no, - 10 is no, 5 is no

Step-by-step explanation:

6 is no beacause 3 - 4(6) = 11

                            3 - 24 = 11

                               -21 = 11

-21 is not equal to 11 so that means that 6 is not a solution.

- 8 is no because 3 - 4(- 8) = 11

                             3 + 32 = 11

                                  35 = 11

35 is not equal to 11 so that means that - 8 is no a solution

- 10 is no beacause 3 - 4(-10) = 11

                            3 + 40 = 11

                               43 = 11

43 is not equal to 11 so that means that - 10 is not a solution.

5 is no beacause 3 - 4(5) = 11

                            3 - 20 = 11

                               -17 = 11

-17 is not equal to 11 so that means that 5 is not a solution.

Hope that helps!

Answer:

If u=6,

 3-4u=11

3-4(6)=11

 3-24=11 (false; not a solution)

If u=-8,

  3-4u=11

3-4(-8)=11

 3+32=11 (false; not a solution)

If u=-10,

   3-4u=11

3-4(-10)=11

   3+40=11 (false; not a solution)

If u=5,

 3-4u=11

3-4(5)=11

3-20=11 (false; not a solution)

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Most often associated with a wavelength that is visible to the eye. Random kinetic energy possessed by objects in a material at finite temperature. An object that feels hot has a lot of this. This law states that, in any process, energy is neither created nor destroyed. It can only be converted from one form to another. This is the process of changing energy from one form to another. Solar energy is changed into chemical energy by plants.