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
Sholpan [36]
3 years ago
5

X81** *34*=246

81x + 1 + 3{4x } = 246" alt="81x + 1 + 3{4x } = 246" align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

x=\frac{1}{4}

Step-by-step explanation:

81^{x+1}+3^{4x}=246

81=3^4

Rewrite equation: 3^{4\left(x+1\right)}+3^{4x}=246

3^{4\left(x+1\right)}=3^{4x}\times 3^4

3^{4x}\times 3^4+3^{4x}=246

Factor out 3^{4x}:

3^{4x}\left(3^4+1\right)=246

Divide both sides by (3^4+1):

\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{82}

3^{4x}=3

Anything to the power of 1 is itself. Hence,

4x=1\\

x=\frac{1}{4}

You might be interested in
In the right triangle ABC shown to the right, what is the length of
Talja [164]

Check the picture below.

7 0
3 years ago
Read 2 more answers
The function y=6+1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based o
Butoxors [25]
The y-intercept is obtained when we equate x to 0, where x is the number of songs bought. Thus, before buying any songs, $6 have to be paid. This is the cost of joining the the music club. The second statement is true.
7 0
3 years ago
Which basic trigonometric identity would you use to verify that tan x cos x =sin x
True [87]

Answer:

\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}

Step-by-step explanation:

\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}

7 0
3 years ago
Complete the table of values
Agata [3.3K]
Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, 3^{-2} =
\frac{1}{3^{2} }.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, (\frac{3}{4}) ^{3}  =  \frac{ 3^{3} }{4^{3} }.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example, 3^{0} = 1.
</span>

Back to the Problem:
Problem 1 
The x-values are in the left column. The title of the right column tells you that the function is y =  4^{-x}. The x-values are:
<span>1) x = 0
</span>Plug this into y = 4^{-x} to find letter a:
y = 4^{-x}\\&#10;y = 4^{-0}\\&#10;y = 4^{0}\\&#10;y = 1
<span>
2) x = 2
</span>Plug this into y = 4^{-x} to find letter b:
y = 4^{-x}\\ &#10;y = 4^{-2}\\ &#10;y =  \frac{1}{4^{2}} \\  &#10;y= \frac{1}{16}
<span>
3) x = 4
</span>Plug this into y = 4^{-x} to find letter c:
y = 4^{-x}\\ &#10;y = 4^{-4}\\ &#10;y =  \frac{1}{4^{4}} \\  &#10;y= \frac{1}{256}
<span>

Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is y =  (\frac{2}{3})^x. The x-values are:
<span>1) x = 0
</span>Plug this into y = (\frac{2}{3})^x to find letter d:
y = (\frac{2}{3})^x\\&#10;y = (\frac{2}{3})^0\\&#10;y = 1
<span>
2) x = 2
</span>Plug this into y = (\frac{2}{3})^x to find letter e:
y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\&#10;y =  \frac{4}{9}
<span>
3) x = 4
</span>Plug this into y = (\frac{2}{3})^x to find letter f:
y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}
<span>
-------

Answers: 
a = 1
b = </span>\frac{1}{16}<span>
c = </span>\frac{1}{256}
d = 1
e = \frac{4}{9}
f = \frac{16}{81}
5 0
3 years ago
Will give brainliest i rlly need help
Zepler [3.9K]

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

3 0
2 years ago
Other questions:
  • Jim observes two small plants in a garden. He records the growth of Plant 1 over several days as shown in the given table. He al
    10·2 answers
  • If f(x)=2x^3-4x^2+2,and g(x)=x^3-2x^2-2x+4 then f(x)-g(xl=​
    9·1 answer
  • HELP ME please :) Please
    12·1 answer
  • Madunia got a raise on her salary because she started to act nice to customers if she used to make $25 an hour what is her new s
    9·1 answer
  • Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles
    10·1 answer
  • A bowl contained 19.4 grams of salt. Then, Greg poured in another 56.24 grams. How much salt does the bowl contain now?
    9·2 answers
  • About 5 - 6% of the student population has more than 3 pets. If the student population is 450 people, how many would have more t
    13·1 answer
  • I need help i dont get this problem
    12·1 answer
  • Find the missing length indicated
    13·1 answer
  • Sara is holding a fraction tile labeled 1/3. How many 1/3 fraction tiles are needed to equal the fraction tile labeled 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!