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alexdok [17]
3 years ago
5

PLEASE HELP

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Answer:

225

Step-by-step explanation:

30+15t

Rudiy273 years ago
5 0

Answer:

255 I'm not so sure what the total earnings t thing is though

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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
4 years ago
HELPPP PLEASEEEE<br> enter the value that makes the equation 1/4(12x-8)+2x=-17
Alchen [17]

Answer:

x = -3

Step-by-step explanation:

1/4(12x - 8) + 2x = -17

3x - 2 + 2x = -17

3x + 2x = -17 + 2

5x = -15

5x ÷ 5 = -15 ÷ 5

x = -3

8 0
3 years ago
Help me please..................
Rudiy27
253. First, I squared 8, to get 64, then multiplied that by 12. I subtracted 9 from this because 3x3 is 9 to get 759. Then, divide this by 3 to get 253. Hope this helped!
8 0
3 years ago
Read 2 more answers
The quotient of a number and -9 increased by 10 is 11.
andrezito [222]
So the division of a number and -9 or
x/-9

+10=11 or

(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
3 0
4 years ago
Read 2 more answers
What is the distance between U (-2, 1) and V (8, -6)?
SashulF [63]

The distance between the points U and V as given in the task content is; 12.2.

<h3>What is the distance between the points U and V?</h3>

Since the points U and V are as given in the task content, it follows that the distance between them can be calculated as follows;

Distance, D = √((x2 -x1)² + (y2 -y1)²)

Distance, D = √((-6-1)² + (8-(-2))²)

D = √(49 + 100)

D = √149

D = 12.2.

Read more on distance between points;

brainly.com/question/23848540

#SPJ1

3 0
2 years ago
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