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3 years ago

Which is the solution of the equation 1/4 ( 3x - 1 ) = 2x -2/3

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

x = 1/3

Step-by-step explanation:

Perform the indicated multiplication:

Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:

3(3x - 1) = 24x - 8, or

9x - 3 = 24x - 8

Combining like terms, we get 5 = 15x, so that x = 1/3.

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Given that D(x) = 2x, select all of the following that are true statements

Keith_Richards [23]

Answer:

D(x) is a function

D(x) is a direct variation

D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

$D(x)=2x$

D(x) is a direct variation (linear function)

The variable x is the independent variable or input value

The variable D(x) is the dependent variable or output value

<u><em>Verify each statement</em></u>

case 1) D(x) is a function

The statement is true

see the explanation

case 2) x is the dependent variable

The statement is false

The variable x is the independent variable or input value

case 3) D(x) is a direct variation

The statement is true

see the explanation

case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

The statement is true

Because

For x=5

substitute in the linear equation

$D(x)=2(5)=10$ ---> is ok

For x=6

substitute in the linear equation

$D(x)=2(6)=12$ ---> is ok

For x=-2

substitute in the linear equation

$D(x)=2(-2)=-4$ ---> is ok

6 0

4 years ago

Could I please have the answer to this problem? Could I also please have an explanation, as I'm confused and I don't understand.

tatiyna

Answer:

B is the answer as it's means intersection and none of the numbers intersect x and y

8 0

3 years ago

Read 2 more answers

Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and

pochemuha

Given :

Miki has 104 nickels and 88 dimes.

She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.

To Find :

Largest number of groups she can have .

Solution :

In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .

Now , factorizing both of them , we get :

$104=1\times 2\times 2\times 2\times 13$

$88=1\times 2\times 2\times 2\times 11$

Form above , we can say that common factors are :

$HCF=2\times 2\times 2=8$

Therefore , the largest number of groups she can have is 8 .

Hence , this is the required solution .

6 0

4 years ago

Read 2 more answers

A straight road crosses two parallel railway tracks. The angle between the road and the

Mumz [18]

<h3>Answer: 95 degrees</h3>

=======================================================

Explanation:

I recommend drawing it out to see what's going on. See the drawing below.

In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.

Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.

7 0

3 years ago

CAN SOMEONE HELP PLEASE

Arisa [49]

Answer:an equivalent answer is 4/14 or 18/63

Step-by-step explanation:

i really dont understand stand the question but there

6 0

3 years ago