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laila [671]
3 years ago
11

What equation is equivalent to 9^x - 3 = 729?

Mathematics
1 answer:
swat323 years ago
6 0

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6

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Which of the following is the product of the rational expression shown below? 5/2x-1 x 6/x
Rina8888 [55]

Answer:

30/(2x^2-x)

Step-by-step explanation:

5/(2x-1) * 6/x

Multiply the numerators

5*6 = 30

Multiply the denominatos

(2x-1) *x = 2x^2 -x


5/(2x-1) * 6/x = 30/x(2x-1) = 30/(2x^2-x)

4 0
3 years ago
Read 2 more answers
PLEASE HELP SOON I DONT UNDERSTAND THIS QUIZ
Fantom [35]

1. h₀ = 70  

v₀ = 0 since the rock is dropped it has no initial velocity  

when the rock hits the ground the height = 0  

plug into the formula  

0 = -4.9t² + 0(t) + 70  

0 = -4.9t² + 70  

Add 4.9t² to both sides  

4.9t² = 70  

Divide both sides by 4.9  

t² = 14.2857142857  

Take the square root of both sides  

t = 3.7796447301  

t ≈ 3.8 seconds

I am not doing the rest I only did one just to help you understand a bit more

6 0
3 years ago
An item costs $390 before tax, and the sales tax is $35.10. Find the sales tax rate. Write your answer as a percentage.
DanielleElmas [232]

Answer:

Use this pencentage change formula:

New - Old

---------------- x 100

Old

Step-by-step explanation:

390 + 35.10 = 425.1 (New value)

So apply this to the formula:

425.1 - 390

--------------- x 100

390

<em>Which is = 9%</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em> </em><em>Cheers</em><em>!</em><em> </em><em>:</em><em>)</em>

7 0
3 years ago
158.297 rounded each number to the nearest while number
Katarina [22]

Answer: 158

Step-by-step explanation:

158.297

It rounds to 158

since 0.297 < 0.5

5 0
3 years ago
A family buys a studio apartment for $240,000. They pay a down payment of $60,000.
stealth61 [152]

Answer:

Part A: 25%
Part B: 40%

Step-by-step explanation:

Given the following questions:

$240000 for a studio apartment
$60000 as a down payment.

In order to find the answer, we use the formula to calculate the percentage for the total cost of the studio apartment and the down payment.


<u>Part A:</u>
\frac{c\times n}{100}
\frac{25\times240000}{100} =25\times240000=60000
=60000

<u>Part B:</u>
\frac{c\times n}{100}
\frac{40\times240000}{100} =40\times240000=9600000\div100=96000
=96000

The percent of a down payment of $60,000 for a $240,000 studio apartment is "25%." While the percent of a $96,000 dollar down payment for a $240,000 studio apartment is "40%."

Hope this helps.

8 0
3 years ago
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