The graph of f(x) = 0.4x is replaced by the graph of g(x) = 0.4x + k. If g(x) is obtained by shifting f(x) up by 4 units, then what is the value of k?

Answers

Answer 1

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4


Related Questions

what is the correct solution to-3x < 21?​

Answers

Answer:

x > - 7

Step-by-step explanation:

Given

- 3x < 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x > - 7

The solution of inequality - 3x < 21 is,

⇒ x > - 7

We have to given that,

The inequality is,

⇒ - 3x < 21

We can simplify the inequality as,

⇒ - 3x < 21

Divide 3 both side,

⇒ - 3x /3 < 21 / 3

⇒ - x < 7

Take - 1 as common,

⇒ - x < 7

⇒ x > - 7

Therefore, The solution of inequality - 3x < 21 is,

⇒ x > - 7

Learn more about the inequality visit:

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Answers

Answer:

lets go

Step-by-step explanation:

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Find the area of this regular polygon if s = 11 and a = 8

Answers

Answer:

599.401

Step-by-step explanation:

Nathan and Sydney start out together on a bike trail that is 24 24 miles long. Nathan bikes at 8 8 miles per hour. Sydney bikes at 12 12 miles per hour. Which statement is true?.

Answers

Answer:

what are the staements

Step-by-step explanation:

sydney finishes first

Nathan finishes second

Sydney finished in 2 hours

Nathan finishes in 3 hours

i am guessing at the statements

A ) 90
B ) 165
C ) 270
D ) 75

Answers

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

165-90=75

PLEASEE hurry, I attached 15 points​

Answers

Answer:

113.04

Step-by-step explanation:

A = πr²

6 x 6 = 36

36 x 3.14 = 113.04

Find x
Please help !
Will give BRAINLIEST
No links !

Answers

Hello! X would be = to 7, here is how I did it

Help, please! I will mark you!

Answers

Answer:

It's the first one

Step-by-step explanation:

Solve the Quadratic Equation for x
x^2-2x+11=0

no spams pls first part is x squared, if u need clarification

Answers

Answer:

x = +/- sqrt10 i + 1

Explanation:

Key: +/- is plus-minus

I used complete the square

x^2 - 2x + 11 = 0
x^2 - 2x = -11 -2/2 = (-1)^2 = 1
( x - 1 ) ^2 = -10
x - 1 = +/- sqrt10 i
x = +/- sqrt10 i + 1

Picture for clearer answers v

5. Identify each relation that is a function.


Answers

Answer:

Looks like we got the same packet so i'll answer all of the questions you wrote on it.

The answers are: B, C, and F

Answer:

B C and F

Step-by-step explanation:

Write an equivalent expression.
−2​(7+6g​)
Choose the correct answer below.
A.
−2​(7+6g​)=6g−14
B.
−2​(7+6g​)=−2−12g
C.
−2​(7+6g​)=−14+6g
D.
−2​(7+6g​)=−14−12

Answers

Answer:

Assuming choice D is -14-12g, then it would be choice D.If it is supposed to be -14-12, then there is no such solution in choice

Step-by-step explanation:

Here, in order to make an equivalent expression, we need to know the concept of the distributive property.

c(a+b)=ac+bc

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

Solve

 -2(7+6g)

=(-2×7)+(-2×6g)

=-14-12g

Hope this helps!! :)

Please let me know if you have any question

Answer:

-2(7+6g)= -14 -12

Factor −1/2 out of −1/2x+6.

Answers

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

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A drawing is 12 inches wide and 10 inches long. Joe wants to enlarge each side by a scale factor of 0.3. What will be the area of the dilation?

Answers

Answer:

Area of the dilation = 10.8 square inches

Step-by-step explanation:

Given the original dimension

Length = 12inches

Width = 10inches

If they are dilated by a factor of 0.3

New length = 0.3 * 12 = 3.6in

New width = 0.3 * 10 = 3in

Area of the dilation = 3.6 * 3

Area of the dilation = 10.8 square inches

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

PLS help me I'm DESPERATE
its 100 points so it will be worth it

Answers

Answer:

23 gallons

Step-by-step explanation:

The area of the 4 exterior walls:

A = 2(38 + 84)*20 = 4880 ft²

The area of the 2 triangular faces:

A = 2*1/2*38*12 = 456 ft²

Total area to be painted:

4880 + 456 = 5336 ft²

Paint required:

5336 / 232 = 23 gallons

A line,y = mx +b, passes through the point (4,-3) and is
parallel to y = 12 +3. What is the value of b?
1

Answers

the answer is b = -3

Write a real-world problem that could be solved using the
equation below.
s2 = 400

Answers

Answer:

I have two pairs of marbles, and they are evenly distributed between two piles and I have 400, how many marbles are in each pile?

(っ◔◡◔)っ ♥ Hope It Helps ♥

How to solve
y = x + 1
y = 5x + 13

Answers

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

O departamento financeiro de uma empresa de cosméticos apresentam relatório referente aos lucros e/ou prejuízos de ano 2010 o gráfico baixo contido no relatório função lucro (L). Do 2° grau e a função custo (C), do 1° grau para produção de venda de x centenas de unidades de cosméticos

Answers

Answer:

nsks lsćsjwlskdusu sjsksksksndnnddn dksksosjsndjnyjy

please help i’ll give brainliest

Answers

..............

producers

which number best represents the slope of the graphed line?

Answers

Answer:

If you have choices it is either -5 or 5.

Step-by-step explanation:

First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)

4)
Solve the equation for x.
EX-8--12
ighlight
Time
maining
3:13:47
de Tools
A)
X = -12
B)
x = -6
C)
X-4
D)
X-6
5)
Apply the distributive property to simplify the expression.

Answers

Answer:

x =(-8+√464)/-8=1-1/2√ 29 = -1.693

Step-by-step explanation:

my question is in. the photo

Answers

Answer:

5

Step-by-step explanation:

To find the median, write down all numbers in numerical order and cross off one number from each side until you are left with the middle number.

One thing to keep in mind when doing this, though, is to make sure you cross off the same amount on each side, and if you have 2 numbers left, like 13 and 14, your answer would be the number exactly between those, 13.5.

Hope this helps :)

the the answer is: 5

8. Find the values of the variables.
a. x = 39.6, y = 10.6
b. x = 10.6, y = 39.6
c.x= 42.4, y = 158.4
d. x 158.4, y = 42.4

Answers

Answer:

x = 10.6, y = 39.6

Step-by-step explanation:

Given that,

Angle A = 75°

Angle B = 90°

Angle C = 180-(A+B)

= 15°

Now, using trigonometry,

[tex]\sin C=\dfrac{x}{41}\\\\x=41\times \sin C\\\\=41\times \sin(15)\\\\x=10.6[/tex]

For y, using Pythagoras theorem,

[tex]y=\sqrt{41^2-10.6^2} \\\\y=39.6[/tex]

Hence, the value of x is equal to 10.6 and that of y is equal to 39.6.

Using all my points for this. Sorry for making somebody have to do this but I have to do some other homework on the side that I need completed by today so I can't afford lose any time so please it would be a big help if somebody did this! Thank You!

Answers

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?

Answers

There was a 30% increase

Plz help plz plz plz this is due today

Answers

Answer:

A,E

Step-by-step explanation:

Answer: hi um so the answer is x= 10-2y it might be B or F good luck and have a nice day

Step-by-step explanation:

2(x+2y)=20

x+2y=20/2

x=2y=10

x=10-2y

An owner of a small store knows that in the last week 52 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?

A. 1/5

B.1/4

C.1/3

D.1/2

Answers

Answer:

around  1/4

Step-by-step explanation:

The answer is B ...............

I really need help I dont get how to solve to the answer

Answers

Answer: A

Step-by-step explanation:

3/5 = 60%

A, Rosa has 7/12 which is about 58%

B, Rosa has 6/12, which is 50%

C, Rosa has 9/12 which is 75%

D, Rosa has 8/12 which is 66%

A would be the closest.

SAJKDHSJAAFJ CUPO AYUDA PORFAVOR TT_TT

Answers

Answer:

3

Step-by-step explanation:

A video game is in high demand and the store can't keep them in stock. Instead of selling it for $60 they markup the price 17%. What is the new price after the markup?

Answers

Answer:

$70.20

Step-by-step explanation:

60 x 1.17 = 70.20

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