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

Determine the intercepts of the line?

Answers

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Answers

Answer:

x = 59

Step-by-step explanation:

combine all four angle measure expressions and set equal to 360°, then solve

x + x + 2x + 3 + 2x + 3 = 360

6x + 6 = 360

6x = 354

x = 59

Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?

Answers

Answer:

i think its 18%

While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.

Answers

Answer:

3 4/5

380%

3.8

plz can i get brainliest

helpppppppppppppppppppppp​

Answers

I'll help you, I just don't understand what the exercise is asking for x or y?

The answer to rid question is A

Scavenger Hunt
heard F. Use your answer to card F. to find the next
A
12 - x - 2x = -12

Answers

Answer:

Hi! The answer to your question is [tex]x = 8[/tex]!

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Please helpppppp will give brainliest!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

When multiplying a number with the same base, you will add the exponent values

8 +3 = 11

Answer:

8.8²⁴

Step-by-step explanation:

8.8 ⁸׳= 24 so hence 8.8²⁴ is the answer

Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?

Answers

Answer:

its 216 cubic feet.

Step-by-step explanation:

6x6x6 is 216

F (x)= 3x +4 , find f (2)

Answers

Answer:

10

Step-by-step explanation:

First substitute x for 2

3(2) + 4

6+4

10  When x is 2 f = 10

Am I correct on these two​

Answers

Answer:

9. Correct 12. Incorrect, it's D

Step-by-step explanation:

9. There is a 1:2 ratio of blue to red paint to create the shade of purple, so 6:12 would follow the 1:2 ratio so it's correct.

12. 6:14 can be simplified to 3:7 ratio. 8:16 doesn't follow 3:7 (it follows 1:2) so it can't be the right answer. 12:28 follows the ratio so it's right.

help please. it would really help if someone explained

Answers

Answer:

0/8

Explanation:

There is no number greater than 10 on the spinner, so there is a 0/8 chance that the spinner will land on a number greater than 10.

9 - 3m = -3


fcgvhbjnkl;.'aszdfgthjkl;asdtgyjko;p

Answers

the correct answer is M= 4

A recipe calls for 1 1/2 c chopped dates, 3/4 c water, 1 1/2 c sugar, 1/2 c chopped nuts, 2/3 c butter, and 3 c flour to be mixed together in a bowl. When these ingredients are combined, how many cups will there be altogether?

Answers

Answer:

7 9/12

Step-by-step explanation:

1 1/2 + 3/4 + 1 1/2 + 1/2 + 2/3 + 3 =

add together with pairs

3 + 3 1/2 + 1 5/12

add again

6 1/2 + 1 3/12

7 9/12

(I think it's right not 100% percent sure but 95%)

anyways hope this helped :))

How many Terms are in the following expression: x−12÷(3∗2)

Answers

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

How long is the wire that supports the tree?
5.6 ft
3.3 ft

Answers

Answer:

6.5 ft

Step-by-step explanation:

You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer

if 5.6 = a and 3.3 = b

5.6²+3.3²=42.25(=c²)

42.25 = c²

square root both sides

6.5 = c

Answer:

6.5 ft.

Step-by-step explanation:

To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]

[tex]5.6^2 + 3.3^2=C^2[/tex]

31.36+10.89=[tex]C^2[/tex]

42.25=[tex]C^2[/tex]

NOW you have to square root both sides of the equation

[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]

You square root both sides so you can get ride of the exponent on C

So, your answer is 6.5=C

hope this helps :)

p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle.  :)

Select the correct answer.
which equation matches the function shown in the graph?

A. Y = 1/2sin(x)
B. Y = sin(2x)
C. Y = sin(1/2x)
D. Y = sin(1/4x)

Answers

B sorry if it’s wrong

The equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A graph of a trigonometric function is shown in the graph:

From the graph of a function, we can see the sin function represented by the graph.

y = sin(x)

To find the equation for the graph we can apply the transformation to the above equation.

From the graph

x =2π

y = 0

x → (1/2)x

y = sin[(1/2)x]

Thus, the equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

(8x2+8x)−(−9x2+8x)
I NEED STEP BY STEP don't just use a calculator.

Answers

Answer:

34

Step-by-step explanation:

(16+8x)-(-18+8x)

16-(-18)

34

Answer:

17x^2

Step-by-step explanation:

(8x^2+8x)- ( 9x^2+8x)

8x^2+8x + 9x^2-8x

17x^2

A trillion frozen comets are orbiting the sun in a far off region called the __________ cloud.

Answers

Answer:

The Oort Cloud

Step-by-step explanation:

The Oort Cloud is a predicted collection of icy objects farther away than everything else in the solar system.

Hope this helped!!!

You can paint 8 square feet in 2 hours. How many square feet can you paint in 7 hours

Answers

Twenty Eight

How this helps

8 square feet = 2 hours

°divide 2hrs to 8 square feet

1hr = ?

2÷8 =4

so,

1hr = 4 square feet

In 1 hour 4 square feets will be covered

•4 square feet can be painted in 1 hour.

*now to find how many square can be painted in 7 hrs.

°multiply no. of hours to hd no. of square feet per hour.

7hrs = ?

7×4 =28

So,

28 square feet would be covered in 7 hours.

may this helps you

bye

What is the area of the shaded segment shown? Round your answer to the nearest tenth.

Answers

Answer:

180

Step-by-step explanation:

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?

Answers

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?

Answers

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

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

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75:56.25

= 7:9

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return

Answers

Answer:

the answer is f(2)= - 1

Step-by-step explanation:

i took the test i failed it but i get that right.

Answer:

f(2) = -1

Step-by-step explanation:

took the test

can someone helppp!! i will guy brainlist if it’s right!

Answers

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Which of the following are compound events?
A.
Jacob flips a coin and pulls a card

B.
A teacher selects a student randomly from the class

C.
Maria spins a spinner from a board game to determine her next move

D.
The forecast for rain today

E.
Customer orders a Turkey and Swiss sandwich on wheat bread

F.
A family has two boys and a girl

Answers

Answer:

a

Step-by-step explanation:

A compound event is an event that has more than one outcome. it is the combination of two simple events

I need help ASAP please

Answers

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

Answer:

If you were to make a 360 degree circle and minus the 50 thats already there you get 310 the right angle on angle 5 is 90 degrees because its a right angle so then the 310-90=220 the obtuse angle on angle 2 is 180 so 220-180=40 lastly you share those forty between angles 3 and 4 and the solution is your answer.

Glab to help!

What is the slope of (12,-18) and (11,12)? Please I’m very confused.

Answers

Answer:

-30

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope

[tex] = \frac{12 - ( - 18)}{11 - 12} [/tex]

[tex] = \frac{12 + 18}{ - 1} [/tex]

= -30

Which of the following identifying information is contained in a credit report?

A. Height and weight
B. Driver’s license number
C. Employment history
D. All of the above

Answers

C. Employment History
I believe all of the above or b. hope this helps!

Hi I am in desperate need of a "tutor" If anyone is decent at Algebra II, any little help is welcomed! Please respond to this and I will message you on here. I will explain my situation through there

I am honestly in a really tight spot in school and I really need some assistance with my work, thanks :)

Answers

Answer:

Step-by-step explanation:

Hi,

I am quite good at maths and will be happy to help you, not just in Algebra, but any other topics in maths

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