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3 years ago

ANSWER....................

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Answer:

x=33

Step-by-step explanation:

8^(x+7) = 32^(x-9)

Rewriting 8 as 2^3 and 32 as 2^5

2^3 ^(x+7) = 2^5^(x-9)

We know that a^b^c = a^(b*c)

2^(3*(x+7)) = 2^(5*(x-9))

2^(3x+21) = 2^(5x-45)

We know that if the bases are the same, the exponents are the same

3x+21 = 5x-45

Subtract 3x from each side

3x-3x+21 = 5x-3x-45

21 = 2x-45

Add 45 to each side

21+45 = 2x-45+45

66= 2x

Divide by 2

66/2 = 2x/2

33=x

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Does it matter which way you subtract in distance

lubasha [3.4K]

Yes it does matter which way you subtract

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3 years ago

H(x)= 9/x( x^2-49)<br> Determine the domain of the function

Norma-Jean [14]

Answer: The domain of the function $h(x) = \frac{9}{x(x^2-49)}$ is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

$h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}$

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

$x=0$

$x+7=0$ --> $x=-7$

$x-7=0$ --> $x=7$

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0

3 years ago

The function h(x) is a transformation of the square root parent function,

kondaur [170]

Answer:

A. $h(x)=\sqrt{x-3}$

Step-by-step explanation:

<h3>Step 1: Definition</h3>

The parent function of $\sqrt{x}$ is translated to the left when $h$ is positive in the transformation $\sqrt{x+h}$ .

If $h$ is negative, the graph translates towards the left with the distance equal to the value of $h$ .

<h3>Step 2: Implementation</h3>

Here the graph moved 3 units towards the right. This means that $h$ is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

$h(x)=\sqrt{x-3}$

8 0

2 years ago

Three times the sum of a number and seven is negative thirty-six. What is the number?

Katarina [22]

Answer:

n =-19

Step-by-step explanation:

3* (n+7) = -36

Distribute

3n+21 = -36

Subtract 21 from each side

3n+21-21 = -36-21

3n = -57

Divide by 3

3n/3 = -57/3

n =-19

7 0

3 years ago

Read 2 more answers

Tickets for the school concert were 3$ and 2$. If 245 tickets were sold for a total of $630, how much of each kind were sold?

Hatshy [7]

2x + 3y = 630
x + y = 245 then you want to get rid of x so in the second equation × by -2 and get -2x -2y =-490 subtract this equation from the first to get y=$140 substitute 140 in for y and get x= $105 and 2x=210 and 3y=420 210 +420=630

7 0

3 years ago