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Natasha_Volkova [10]
3 years ago
7

Can someone help me

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

Answer I think 2 is it

...........

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Solve f (x) = 32^x+6•1/2 = 8^x-1
emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

32^{x+6} \cdot \frac{1}{2}=8^{x-1}

Now, we shall determine the value of x.

The term 8^{x-1} can be written as \left(2^{3}\right)^{x-1}

Hence, we have,

32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}

Also, the term 32^{x+6} can be written as \left(2^{5}\right)^{x+6}

Thus, we have,

\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}

Applying the exponent rule, \left(a^{b}\right)^{c}=a^{b c}, we have,

   2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}

2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}

If a^{f(x)}=a^{g(x)} then f(x)=g(x)

5(x+6)-1=3(x-1)

Simplifying, we get,

5x+30-1=3x-3

     5x+29=3x-3

     2x+29=-3

             2x=-32

               x=-16

Therefore, the value of x is -16

Hence, Option B is the correct answer.

6 0
3 years ago
Hayyyy yalllllllllll wasssgooooooddddddd I am bored
Semenov [28]

Answer:

heyyyyyy

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Determine the value of sin 52º 47' (sine of 52 degrees, and 47 minutes). In this case, minutes are 1/60 of a degree.
jeka94

Answer:

D

Step-by-step explanation:

change minutes to degrees

60minutes=1degree

47 mutes=?

47/60=0.78333333°

Add to 52°

52° + 0.78333333°

52.78333333°

so sin 52.7833 =0.7963540136

7 0
3 years ago
Find the indicated quotient to the nearest tenth
Novosadov [1.4K]
14.8...........
..................

6 0
3 years ago
Read 2 more answers
Which of the following points does not lie on the line whose equation is x+ y = 7?
makkiz [27]
The answer is <span>(-1, -6)
</span>
Let's go through all choices:
1. (x, y) = (-10, 17)
x + y = 7
-10 + 17 = 7
17 - 10 = 7
7 = 7
So, these points lie on the line.

2. (x, y) = (<span>13/3, 8/3)
</span>x + y = 7<span>
13/3 + 8/3 = 7
(13 + 8)/3 = 7
21/3 = 7
7 = 7
</span>So, these points lie on the line, too.

3. (x, y) = <span>(-1, -6)
</span>x + y = 7
-1 + (-6) = 7
-1 - 6 = 7
-7 ≠ 7
So, these points DO NOT lie on the line.
5 0
3 years ago
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