I need help will give brainliest for correct answer

Mathematics

2 answers:

Alex777 [14]3 years ago

6 0

Answer:

x=-2

Step-by-step explanation:

To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!

SCORPION-xisa [38]3 years ago

4 0

Answer:

x = - 2

Step-by-step explanation:

See below;

9^x - 8 = 3^ 4x - 12,

( 3 )^2 ( x - 8 ) = 3^ ( 4x - 12 ),

3^ 2x - 16 = 3^ 4x - 12,

2x - 16 = 4x - 12,

2x - 4x = - 12 + 16,

- 2x = 4,

x = - 2

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Step-by-step explanation:

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3 years ago

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n200080 [17]

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Note: the range should be $[-5, \infty)$ . See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say $(-\infty, \infty)$ which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that $y \ge -5$ and that translates to the interval notation $[-5, \infty)$ .

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote $(-5, \infty)$ for choice A, when they should have written $[-5, \infty)$