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barxatty [35]
3 years ago
15

How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

            <u>    - 2   - 2</u>

             k = 2

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Three ratios that are equivalent to 8:5
vlada-n [284]

Answer:

32/20

Step-by-step explanation:

32 and 20 are both divisible by 4. 4*8=32 and 4*5=20. So this one works. Another way to think about it is if you put them as fractions and reduced them down to their simplest form, they would form the fraction 8/5.Oct 17, 2019

5 0
2 years ago
Pls help
loris [4]

Answer:  

y = 4x² -19x -5

Step-by-step explanation:  

When you graph it (or use an appropriate tool), it can help us to figure out that the equation is:

y = 4x² -19x -5

(Quadratic regression = the process of determining the equation of a parabola that best fits a set of data)

<em>Hope this helps, have a nice day :D</em>

8 0
3 years ago
Help please asap!!!!!!
Igoryamba
I hope this helps you :)

4 0
2 years ago
Factor the expression given below. Write each factor as a polynomial in
bagirrra123 [75]

Answer:

Step-by-step explanation:

This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.

343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is

(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:

(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to

(7x + 6y)(49x^2 - 42xy + 36y^2)

3 0
2 years ago
Kelly found the area of the composite figure below and showed her work on a quiz. Her teacher marked her answer incorrect.
Stella [2.4K]

Answer:

446.75 y^2

Step-by-step explanation:

First, Kelly found the area of a circle, not half a circle, which is on top of the figure. She also shouldn't have subtracted the area of the circle by the airea of the base, as she is trying to find the area of the ENTIRE figure.

.5 TIMES pi times 9^2 = 122.75

the second part, calculating the square base is correct..

122.75+324 = 446.75 y^2

6 0
2 years ago
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