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
dmitriy555 [2]
3 years ago
13

Please help. I don’t understand this math problem . I’ll mark you as brainliest if correct

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

  f(x)=3\log_4{(2-x)}

Step-by-step explanation:

You know that a log function has a vertical asymptote at x=0 and an x-intercept at (1, 0). It trends upward to the right.

The given graph has a vertical asymptote at x=2, indicating the transformation involves a right-shift of 2 units. It trends upward to the left of the vertical asymptote, suggesting a reflection is involved. At 1 unit left of the vertical asymptote, the graph crosses y=0, so there is no horizontal scaling involved.

At this point, you can write a version of the function f(x) that incorporates the reflection and translation:

  f(x) = k·log(-(x -2)) = k·log(2-x)

To find the vertical scale factor k, we make use of the additional point that is given.

  f(-2) = 3

  k·log(2 -(-2)) = 3 . . . . substitute into our f(x) so far

  k = 3/log(4) . . . . . . . . solve for k

Now, the function can be written as ...

  f(x)=\dfrac{3}{\log{4}}\log{(2-x)}=3\dfrac{\log{(2-x)}}{\log{4}}

Using the "change of base" formula for logarithms we can compact this to ...

  \boxed{f(x)=3\log_4{(2-x)}}

You might be interested in
Solve each system by graphing 4x-y=9 and x-3y=16
Fynjy0 [20]
\left[x \right] = \left[ 16+3\,y\right][x]=[16+3y] totally graphic doing ur sheets
5 0
2 years ago
Read 2 more answers
PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

⇒ 5^2=3^2+4^2

Let a, b, c forms a Pythagorean triplet

a^2+b^2=c^2

Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

⇒ {2a}^2+{2b}^2={2c}^2

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
3 years ago
Read 2 more answers
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Irina-Kira [14]

Answer:

294 - 14 = 280 ÷ 5 = 56

In conclusion, there were 56 Students in each Bus.

3 0
2 years ago
Luke saves 10p coins and 20p coins he has 3 times as many 10p coins as 20p coins a total of 17 pounds how 10p coins does he have
Lena [83]

Answer:

10p coins does he have 102

Step-by-step explanation:

given data

saves=  10p coins and 20p coins

total = 17 pounds

to find out

how 10p coins does he have

solution

we consider here no of  20p coin = x

so equation will be here

3 ×  10 x  +20 x = 1700

30 x + 20 x = 1700

x = 34

so that

10p coins    = 3 time × 34  = 102    

20p coins    =  34

so that 10p coins does he have 102

5 0
3 years ago
Read 2 more answers
Simplify (6 1/4)4 plz help
Ostrovityanka [42]

(6 + 1/4)·4 = (6·4) + (1/4·4) = 24 + 1 = 25

Or, you can convert the mixed number to the improper fraction 25/4 and then multiply by 4 to get 25.

6 0
2 years ago
Read 2 more answers
Other questions:
  • On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative
    16·2 answers
  • -2 8/9 as a decimal and how to get it
    8·1 answer
  • Find the measure of <2
    13·2 answers
  • A 16-fl oz bottle of juice cost $2.00 what is the unit cost
    10·1 answer
  • Addition of which two number is 736?​
    11·1 answer
  • Please help me on this, thank you
    5·1 answer
  • Students in Mr. Rivas’ class were practicing their multiplication skills by rolling three 6-sided number cubes. Chris rolled a 2
    15·2 answers
  • HELP0ppppppppppppppp​
    10·1 answer
  • What is the slope of the line through (-7, -8) and (0,4)
    15·1 answer
  • The lengths of the sides of a triangle are 9​, 12​, and 15. Classify the triangle as​ acute, right, or obtuse.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!