What is the vertex of the function defined as
g(x) = f(x – 5) + 3?

Answers

Answer 1

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5


Related Questions

Find the y value for the point that divides the line segment XY into a ratio of 1:2. Segment XY is shown. X is at -6, -1 and Y is at 5, 1.
A. −0.3
B. 6.2
C.3
D. 2.8
I believe its -0.3, but I'm not completely sure.

Answers

Answer:

-0.3

Step-by-step explanation:

I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)

Edit** It is correct I just took the test :)

For the point that divides the line segment XY into a ratio of 1:2,

Y value is -0.3.

Option A is correct

What is section formula?

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.

Given point

X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)

Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)

Ratio = 1:2

For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.

Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].

Using the section formula,

[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]

= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]

= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]

= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]

x = -2.3 and y = -0.3

For the point that divides the line segment XY into a ratio of 1:2,

y value is -0.3.

Option A is correct

Find out more information about section formula here

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Justin's car used 12 gallons to travel 252 miles. At what rate does the car use gas, in
miles per gallon?

Answers

Answer:

All you have to do is divide the miles by the gallons... 252 miles ÷ 12 gallons = 21 miles/gallons

Your final answer is 21 miles/gallon!!

what is the value of x

Answers

Answer:

20

Step-by-step explanation:

because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find

angle 5 = 135

angle 5 and 5x+35 are alternate interior angles, so they have the same value

135=5x+35

100=5x

20=x

Answer:

Thanks for the points :3

Please help me answer this.

Answers

Answer:

B. Positive slope

Step-by-step explanation:

The line on the graph is positive, as it grows from left to right.

Answer:

Positive Slope

Step-by-step explanation:

The line goes up, which means that it's positive. To be exact the line equation is y = 3x + 1. The slope (3) is positive, which proves that its a positive slope, not negative.

4e^2x=5

X approximately = ?

Answers

Answer:

5 = 5

Explanation:

What does 8×9 equals?
1. 72
2.85
3.34
4.56

Answers

Answer:

8x9=72

Step-by-step explanation:

I hope that this helps u out..there is not really any explanation

Answer:

72

Step-by-step explanation:

8 Times Table

8 × 1 = 8

8 × 2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80

8 × 11 = 88

8 × 12 = 96

please someone help me

Answers

Answer:

-16

Step-by-step explanation:

-8(x+2)=24   x= -5

-8x + (-16) = 24   x= -5

-8*x = -8x

-8*2= -16

What are the pros and cons of using social media from the candidate's perspective?

Someone plz help last one for 100 Pt grade

Answers

Answer:

Pro: It can give greater insight into an applicant's abilities. ...

Con: It could reveal protected information. ...

Pro: It can reveal ugly incidents. ...

Con: It isn't always reliable. ...

Pro: It can make an even better case for an employee. ...

Con: It could raise equal employment opportunity concerns.

Step-by-step explanation:

got it right

Can someone please help me with this question.

Answers

Answer:

Since FAB and GED are congruent they also create the same angle. The angle is shown with the curved line. AE is a straight line, or 180 degree angle. This means that FAB and ABC must create a 180 degree angle... and if FAB is congruent to GED then GED and EDC are also congruent.

Step-by-step explanation:

I hope this made sense, it's kind of messy but I hope it helps.

Given D'E'F'G' is a dilation of DEFG, find the scale factor of dilation.

Answers

Answer:

7.5

Step-by-step explanation:

157.5/21 = 7.5

Help pls ill mark brainliest

Answers

Answer:

angle 7

Step-by-step explanation:

LHI is angle 9, so the one opposite from it is 7

i hope this helped, and if it did, please mark this as brainliest! thanks

Help me please
Ayudame por favor

Answers

I help u hola im here to help you

Here is an expression: 20 + 4
What are some ways to think about this expression? Describe at least two meanings you
think it could have.

Answers

Answer:

look at my explanation.

Step-by-step explanation:

What is an Expression?

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is:

Expression = (Number, Math Operator, Number)

For example,

= 7 + 9

= 23 × 4

= 37 – 6

= 25 + 9 – 4 ÷ 2

Find the center and the radius and the center of the circle with the given equations:

Answers

Answer:

3. (-1 , 3) , 4

4. (0 , -7), 8

Step-by-step explanation:

circle: (x-h)² + (y-k)² = r²

3. x²+2x+y²-6y-6 =0

  (x²+2x+1) + (y²-6y+9) -16 =0

  (x+1)² + (y-3)² = 4²

center(-1 , 3)      radius: 4

4. x²+y²+14y-15=0

   (x+0)² + (y²+14y+7²) - 64 = 0

   (x+0)² + (y+7)² = 8²

center: (0 , -7)     radius: 8

Answer:

3. Center = (-1,3)   Radius = 4

4. Center = (0,-7)   Radius = 8

use completion of squares to find the solution, if you do not understand what this means, there is a great video on utube by the channel Prep Expert that explains finding the center of a circle based on an equation.

Could someone pls help me and explain this if you know it!!

Answers

Answer:

25% on question one

Step-by-step explanation:

For example, on question one, 5 students drink more than half a dozen sodas a week. If there is a total of 20 students you'd divide 5 by 20 and that should be the answer.

Uhhh help please
I need helppppp

Answers

Answer:

1?

Step-by-step explanation:

11/12 closest to

A forest covers 49,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

0.0000612

Step-by-step explanation:

Answer: 86 I believe

Step-by-step explanation:

Please please help me with this!!
Look at the picture for the question

Fill in the equation so that the equation has one solution.
Answers:
25
5-2x
None of the above.

Answers

5-2x. That’s the answer

Which equation below does NOT represent a function?

A
y = -4

B
y = x2 + 1

C
x2 + y2 = 6

D
y = 2x + 5

Answers

Answer:

C

Step-by-step explanation:

x2+y2=9 is an example of a non function because there is at least one x value with two or more y values .

The equation below does NOT represent a function is D x² + y² = 6

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) .

x² + y² = 9 is an example of a non function because there is at least one x value with two or more y values .

Now, y = 4

y = x - 4

y = x^2 - 4

Also, x² + y² = 6

This is not a function as there should be minimum one x value with two or more y values. this equation does not meet the criteria so this represent non-function.

Learn more about function here:

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what is the answer to y=2x-9

Answers

Sorry to break it to you, but...

That's a line equation my dude. There's no answer.

Answer:

x=4.5 y=0

Step-by-step explanation:

For the x coordinate set y to zero for the y coordinate set x to zero. Example:

0=2x-9

9=2x

4.5=x

Some ppl might think this is easy

Answers

point-slope form: y - 5 = (-1/5)(x - 7)

standard form: x + 5y = 7

slope-intercept form: y = (-1/5)x + (7/5)
***note: (-1/5) = -0.2 and (7/5) = 1.4
y-7=-10(x-5) is point slope form.
y=-10x+43 is slope-intercept form.
10x+y=57 is standard form.

Which equation is equivalent to
f(x) = 16x4 – 81 = 0?
(4x2 - 9)(4x2 - 9) = 0
(4x2 + 9)(4x2 - 9) = 0
(4x - 9)(4x - 9) = 0
(4x + 9)(4x - 9) = 0

Answers

Answer:(4x2+9)(4x2-9)=0

Step-by-step explanation:(4x2+9)(4x2-9)=0

Your welcome



A robin can fly 10 miles per hour faster than a blue jay. It takes a robin 1 1/2 hours to fly 45 miles.

How many hours will it take a blue jay to fly that same distance?

Answers

Answer: [tex]2\dfrac14\text{ hours}[/tex]

Step-by-step explanation:

Given:  It takes a robin [tex]1\dfrac12[/tex] hours to fly 45 miles.

[tex]1\dfrac12=\dfrac32[/tex]

Speed of robin= [tex]\dfrac{distance}{time}=\dfrac{45}{\dfrac32}[/tex]

[tex]\dfrac{45}{3}\times2= 15\times2= 30\text{ miles per hour}[/tex]

A robin can fly 10 miles per hour faster than a blue jay. It

Speed of Blue jay = Speed of robin - 10 miles per hour

= 30 miles per hour - 10 miles per hour

= 20 miles per hour

Time taken to cover 45 miles = [tex]\dfrac{45}{20}=\dfrac{9}{4}=2\dfrac14\text{ hours}[/tex]

Hence, it will take [tex]2\dfrac14\text{ hours}[/tex]  by a blue jay to fly that same distance.

Please help me ASAP!!

Answers

Answer:

First one is 6

Second on is 45

solve for -5x < 2 step by step

Answers

Answer:

x > -2/5

Step-by-step explanation:

To solve this, you need to divide -5 on both sides to isolate x.

-5x < 2

x > -2/5

Because we divided by a negative number, the sign has to change direction.

James and Kris are in the school play. James has 42 lines to memorize, which is 6 times
as many as Kris. Which equation shows how to find out how many lines Kris has?

Answers

Answer:

6k=42

Either one ill still answer the equation

Step-by-step explanation:

Let K = Kris

42=6k

A book costs $ 25.00. You have a coupon for 30 % off. Calculate the final price of the book with a 5% GST. (Begin by finding the discount price and then adding the GST)

Answers

Answer:

$18.375 or rounded = $18.38  (brainliest if correct)

Step-by-step explanation:

25.00- 7.5 = $17.5

5% of 17.5 = 0.875

17.5 +0.875 = 18.375

A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
market. The second day he reduced the price by 12%. What was the price of the used car after this reduction?

Answers

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

ILL GIVE BRAINLIEST PLEASE HELP THE PICTURE IS ATTACHED

Answers

Answer:

Its C x=4, -4

explanation:

Take the root of both sides and solve

I need help with this. If you answer it i will give you points!


Find EF and FD on number line


D = -6.1, E = 9, F = 17.7


SHOW YOUR WORK PLEASE!

Answers

Answer:

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

Step-by-step explanation:

D = -6.1, E = 9, F = 17.7

EF: on the same side of origin    17.7 - 9 = 8.7

FD: on the opposite of 0    17.7 + 6.1 = 23.7

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