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3 years ago

11

Hii please help i’ll give brainliest

1 answer:

yaroslaw [1]3 years ago

5 0

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3 pls mark brainliest

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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

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. Which trinomial did she factor? x2 + 4x –

max2010maxim [7]

The correct answer is x2 – 4x – 12

5 0

4 years ago

Read 2 more answers

Peyton is going to invest $9,700 and leave it in an account for 16 years. Assuming the interest is compounded continuously, what

Mariulka [41]

Answer: r ≈ 2.3%

Step-by-step explanation:

5 0

3 years ago

What is the smallest subset of the square root of 100

aev [14]

=2x5
=10
If you have a certain type of calculator it could answer that question easy

3 0

3 years ago

When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number ?

Orlov [11]

Answer:

- 3

Step-by-step explanation:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

The number is - 3

7 0

3 years ago