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3 years ago

Answer these questions in order

Mathematics

1 answer:

mash [69]3 years ago

4 0

1)-6/4x+4

2)-5/3x

3)3x+2

4)3/2x+3

5)0x-1

6)1/2x+2

7)3x+4

8)-1/3x

I added some guides for you to know how to do this.

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Perform the indicated operation. 3m-6/4m+12*m^2+5m+6/m^2-4

Troyanec [42]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

The given expression is:

$\frac{3m-6}{4m+12} \cdot \frac{m^2+5m+6}{m^2-4}$

We factor to get:

$\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+2)(m+3)}{(m-2)(m+2)}$

Cancel out the common factors to get:

$\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+3)}{(m-2)}$

We cancel further to get:

$\frac{3(m-2)}{4(m+3)} \cdot\frac{(m+3)}{(m-2)}=\frac{3}{4}$

The correct chice is B.

5 0

3 years ago

Translate the following words into an expression: “The quotient of a number and three is five.”

laila [671]

Hello from MrBillDoesMath!

Answer:

n/3 = 5

where "n" is the number referred to in the Question

Discussion:

Let the number be "n". The Question translation is

n/3 = 5

( so n = 3 * 5 = 15)

Thank you,

MrB

5 0

3 years ago

Answers here or on your

AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.