WILL GIVE BRAINLIEST Find the distance between the two points in simplest radical form.

Four more than the quotient of a number and 3 is 9

barxatty [35]

The algebraic expression of "Four more than the quotient of a number and 3 is 9" is $\frac{x}{3}+4=9$

The value of x=15

Step-by-step explanation:

We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.

Let the number = x

Solving:

quotient of a number and 3: $\frac{x}{3}$

Four more than the quotient of a number and 3: $\frac{x}{3}+4$

Four more than the quotient of a number and 3 is 9: $\frac{x}{3}+4=9$

Now, finding value of x:

$\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15$

So, value of x = 15

Keywords: Algebraic expression

Learn more about algebraic expression at:

#learnwithBrainly

4 0

3 years ago

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

Verify each statement

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

If x=0. Find the value of 8x-2(6-x)

Harrizon [31]

Answer:

-12

Step-by-step explanation:

8x - 2(6 - x)

Substitute 0 for each x

8*0 - 2(6 - 0)

Solve.

0 - 2*6

0 - 12

-12

7 0

3 years ago

Read 2 more answers

Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represent

arlik [135]

Answer:

sparky 4 years older than cookie

Step-by-step explanation:

s=c+4

since there nothing to add or subtract. you are just gonna take that 4 and since there is a plus sign you are gonna say older than.

hope this helps

5 0

3 years ago

Read 2 more answers

Graph the equation of the line for the equation , y = 3x-12

tamaranim1 [39]

Answer:

Step-by-step explanation:

3 0

3 years ago

WILL GIVE BRAINLIESTFind the distance between the two points in simplest radical form.​

WILL GIVE BRAINLIESTFind the distance between the two points in simplest radical form.