MATHEMATICS HIGH SCHOOL

Which statement is true about the equation fraction 3 over 4z − fraction 1 over 4z + 1 = fraction 2 over 4z + 1?It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer 1
Answer:

Answer:

It has no solution.

Step-by-step explanation:

I just did the test and got this right (as a matter of fact, I got 100% ^^)

It has no solution because no matter how much you multiply the two fractions to the left, it will always equal to 1/2, and 2/4, no matter how many times you multiply it, will always equal to 1/2 as well. Therefore, since those two cancel out, and the leftover numbers in the equation aren't the same, there is no possible solution for this equation.  
Answer 2
Answer:

The solution is Option A.

The equation has no solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 3/4z ) - ( 1/(4z+1 ) ) = 2/ (4z + 1 )   be equation (1)

Adding ( 1/(4z+1 ) )  on both sides of the equation , we get

( 3/4z ) = ( 2 + 1 ) / (4z + 1 )

On further simplification , we get

( 3/4z ) = 3/(4z + 1 )

Divide by 3 on both sides of the equation , we get

1/4z = 1/( 4z+1 )

Taking reciprocals on both sides of the equation , we get

4z = 4z + 1

Subtracting 4z on both sides of the equation , we get

1 ≠ 0

Hence , the equation has no solutions

To learn more about equations click :

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Using the figure above, if< A  = <D, then< B ___ <E. Choose the relationship symbol that makes the statement true.

Answers

Answer:

The relationship symbol that makes the statement true is '>'.

Step-by-step explanation:

Given,

In triangles ABC and EDF,

∠A = ∠D

Since, the sum of all interior angles of a triangle is supplementary,

⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°

⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,

By substituting the values,

180° - ∠B - ∠C = 180° - ∠E - ∠F

- ∠B - ∠C = - ∠E - ∠F

∠B + ∠C =  ∠E + ∠F

∠B + 20° =  ∠E + 30°  ( given ∠C = 20° and ∠F = 30° )

∠B  =  ∠E + 10°  

⇒∠B > ∠E

Hence, the relationship symbol that makes the statement true would be '>'.

Log(6/11)^5 how do you expand that

Answers

5 * log ( 6 / 11 ) = 5 * ( log6 - log11 ) = 5 * [ log(2 * 3) - log11] = 5 * (log2 + log3 - log11 ).
We know that C log a = log a^C. 
We know that log (x/y) = log x - log y
We know that log xy = log x + log y
Therefore... log(6/11)^5 =
5 * log (6/11). Which can be expanded to...
5 (log 6 - log 11) ... 5 (log 3 + log 2 - log 11)

Its a law of logarithms. 

Which Atom is bonded to carbon Adam in the functional group of a Keytone

Answers

Ketones are organic substances.  Vanilla beans, cinnamon barks, lemon grass, camphor tree, musk deer, male and female hormones are common sources of ketones. To know that they are ketones, they have a carbonyl group. Oxygen is the atom that has a double bond with the carbon in the functional group. 

What is named by a capital letter and has an exact location in space?A. point
B. line
C. line segment
D. ray

Answers

A.point

A point is represented by a dot and named by a capital letter.
Point is the correct answer. 

Factor the trinomial: x2 + 12x + 32A. (x - 2)(x + 16)


B. (x + 16)(x + 16)


C. (x + 4)(x + 8)


D. prime

Answers

x^2 + 12x + 32 = x^2 + 4x + 8x + 32 = x(x + 4) + 8(x + 4) = (x + 4)(x + 8)

Convert 3 7/8 to a fraction notation?

Answers

If you would like to convert 3 7/8 to a fraction notation, you can do this using the following steps:

3 7/8 = (3 * 8 + 7)/8 = (24 + 7)/8 = 31/8

The correct result would be 31/8.
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