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
aalyn [17]
3 years ago
7

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

You might be interested in
Please help on this question​
Paul [167]

Answer:

  • 6912xy^8

Step-by-step explanation:

The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...

  9·(3x)^1·(-2y)^8 = 6912xy^8

8 0
3 years ago
If DF = 9x - 39, find Ef
Leviafan [203]
|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4046336-if-df-9x-39-find-ef.html
4 0
2 years ago
Evaluate x + 23<br> when x=7
iren2701 [21]

Answer:

30

Step-by-step explanation:

x + 23 = ?

x = 7

All we need to do is plug in x =7 to the first equation:

7 + 23 = ?

We simplify and get:

30 = ?

3 0
2 years ago
Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative
Jet001 [13]

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

<u>What are Coordinates?</u>

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair  (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒  (-3, 3), (-2, -2), (1, 1), (2, -2)

To learn more about ordered pairs visit:

brainly.com/question/19267542

#SPJ1

4 0
1 year ago
What is the prime factorization of 121?
Diano4ka-milaya [45]
121|11
11|11
1

121=11^2
3 0
3 years ago
Other questions:
  • 1. The diameter of one side of a 10-foot log is approximately 13 inches. The diameter of the other side of the log is approximat
    9·1 answer
  • Find the exact value of cos 157.5°.
    13·1 answer
  • Which triangle has congruent angles? Select one: a. isosceles b. right c. equilateral d. obtuse
    14·1 answer
  • Ariane feeds her kitten kkk grams of food 222 times in the morning and 222 times in the evening. She feeds her dog ddd grams of
    15·1 answer
  • In a mall, a shopper rides up an escalator between floors. at the top of the escalator, the shopper turns right and walks 9.09 m
    15·1 answer
  • What is the answer to the problem 1/2x=14
    5·2 answers
  • If mBC= (9x – 53) °and mCD = (2x + 45) ° , find mBAD.
    11·1 answer
  • Solve for the unknown variable in the following equation: 2a = 4.6
    10·2 answers
  • What set of numbers are shaded on the
    9·1 answer
  • The net below represents a container.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!