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klio [65]
3 years ago
15

2(x-8) + 4x = 6(x - 2) - 4

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
5 0
0=0, all numbers are solutions
Nikolay [14]3 years ago
4 0

Answer:

<em><u>They are equal.</u></em>

Step-by-step explanation:

2(x-8)+4x=6(x-2)-4

Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4

2x-16+4x=6x-12-4

Combine Like-Terms: (2x+4x)-16=(-12-4)6x

6x-16=6x-16

Since both sides are equivalent, all numbers are solutions.

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0.15 is bigger than 0.125
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Answer choices for both of them are <br> A) linear<br> B) exponential <br> C) quadratic
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2 years ago
Express 2x+1/(x-2)(x²+1) as a partial fraction.
Oduvanchick [21]

Answer:

Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

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

Let

(2x+1) / ( (x-2)(x^2+1) ) = A/(x-2) + (Bx+C)/(x^2+1) .........................(0)

(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = (Ax^2+A+Bx^2+(C-2B)x-2C) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = ( (A+B)x^2+(C-2B)x+A-2C ) / ( (x-2)(B/(x^2+1) )

Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

Substitute A from (1) in (3)

-B - 2C =1  

transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

-2(-2C-1) + C = 2  

simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

as the required partial fraction

7 0
3 years ago
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Cons A has a radius 6 units and height 4 units fond one possible radius
Anastaziya [24]

Answer:

A possible solution is that radius of cone B is 2 units and height is 36 units

Step-by-step explanation:

Step-by-step explanation:

The volume of a cone is given by

where

r is the radius

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Here we are told that both cones A and B have the same volume, which is:

And

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One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.

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$8
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3 years ago
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