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mestny [16]
3 years ago
11

Simplify this equation (5k^2)^3

Mathematics
2 answers:
shutvik [7]3 years ago
8 0
5k^2= 25k^2

Now we have to cube this 

(25k^2)^3= 15625 x k^6.

Your welcome!
Fantom [35]3 years ago
5 0
Your answer would be 15625k
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Solve for x.
Masteriza [31]

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

7 0
3 years ago
Multiply
Cloud [144]

Answer:

12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.

Step-by-step explanation:

Expand the following:

3 x^2 (4 x^2 + 6 x - 3)

3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):

3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2

3 (-3) = -9:

3 4 x^2 x^2 + 3 6 x^2 x + -9 x^2

3 x^2×6 x = 3 x^(2 + 1)×6:

3 4 x^2 x^2 + 3×6 x^(2 + 1) - 9 x^2

2 + 1 = 3:

3 4 x^2 x^2 + 3 6 x^3 - 9 x^2

3×6 = 18:

3 4 x^2 x^2 + 18 x^3 - 9 x^2

3 x^2×4 x^2 = 3 x^4×4:

3×4 x^4 + 18 x^3 - 9 x^2

3×4 = 12:

Answer:  12 x^4 + 18 x^3 - 9 x^2

6 0
3 years ago
Gloria earned $144 for 8 hours of work. What is her unit rate? Use a ratio table
NemiM [27]
I don’t know about a ratio table but she makes 18 dollars per hour
5 0
2 years ago
X^ 3 +x^ 2 +4x/x^ 2 +x-2<br>into partial<br>fractions​
lawyer [7]

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

6 0
3 years ago
The length of a rectangular parking lot at the airport is 2/3 mile. If the a r e a is 1/2 square mile,what is the width of the p
arlik [135]
The area of a rectangle is length times width so plug the numbers in to find the width witch would = 3/4
6 0
2 years ago
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