1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
2 years ago
6

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 w

hat is the value of k?
Mathematics
1 answer:
Rashid [163]2 years ago
5 0

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

You might be interested in
Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year
makkiz [27]

Answer:

Geometric sequence

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Leaves on tree this year (a) = 500

Rate of increase in leaves per year (r) = 40 % or 0.4

Let n be the number of years.

So we use exponential growth formula, i.e.

f(n) = a(1+r)^n

by putting the value, we get

f(n) = 500 ( 1+0.4)^n

or f(n) = 500 (1.4)^n

So, the common ration is 1.4.

Thus, it shows a geometric sequence.

6 0
3 years ago
a particular submarine is 12 m long. A model of it was built with a scale of 1 cm: 3 m. How long is the model? Show all work.
slamgirl [31]
1cm : 3m

to get from 12m to 3m you have to divide by 4, so if:

3 x 4 = 12

then you do the same to the 1cm and you get:

1 x 4 = 4

Therefore:

1cm : 3m
4cm : 12cm

the model is 4cm

the answer is the above in bold
hope it helped :)
and sry if my explanation wasn't detailed enough or if i misunderstood the question
5 0
3 years ago
Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 26 . The expression 0.05⁢n+0.10⁢d+0.25⁢q repres
Westkost [7]
Use the substituting equation to solve
7 0
3 years ago
3x + 6 =<br><br> plss help me with this
Y_Kistochka [10]

Answer:

3× + 6

3+6=9

9×3=3

Finish

5 0
2 years ago
Read 2 more answers
I will make you brainlist
ki77a [65]

Answer:

for what? do you need a question answered?

3 0
2 years ago
Other questions:
  • Sharice can fill lemonade cups at a rate of four cups per minute how many can she fill in 6 minutes
    13·2 answers
  • Let u = 5, -12 and c = -3. What is cu?
    10·2 answers
  • Convert 4.75⎯⎯⎯⎯ 4 . 75 ¯ to a fraction. Explain your reasoning.
    11·2 answers
  • The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in
    13·1 answer
  • v11.1% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm The label on a ceiling lighti
    6·1 answer
  • Please help me out asap (geometry)
    11·2 answers
  • The school band is selling tickets for a chance to win an Ipad. Lucy bought 20 out of the 200 tickets sold. What percent chance
    6·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3-6y%7D%20%2B%20%5Cfrac%7B1%7D%7By%7D%20%3D%20%5Cfrac%7B1%7D%7B6%5C%5C%7D" id
    13·1 answer
  • A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
    12·1 answer
  • A fridge costs €336 after a price increase of 40%. what was the original price
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!