All categories

2 years ago

Suppose we have a linear equation relating y and x defined by

Mathematics

1 answer:

Alexxandr [17]2 years ago

8 0

Answer:

(a) f(x) = -3x +6

Step-by-step explanation:

Solve for y, then write as a function.

3y +9x = 18 . . . . . . given

y +3x = 6 . . . . . . . . divide by 3

y = -3x +6 . . . . . . . subtract 3x

f(x) = -3x +6 . . . . . written using function notation

You might be interested in

X=3n-18 the measure of Y=2n-27

Papessa [141]

I hope this helps you
Good luck

7 0

3 years ago

Read 2 more answers

Please helppp me!!!!!

Scrat [10]

Answer:

Step 2 contains error in the given problem.

Step-by-step explanation:

Given expression is:

$\frac{1}{2}x-3=\frac{1}{3}x+6$

Step 1: identifying the LCM.

The LCM identified is 6.

This step is correct.

In the next step, we multiply the LCM with each term of the equation.

Step 2:

$\frac{6}{1}(\frac{1}{2}x) -3 =\frac{6}{1}(\frac{1}{3}x)+6$

However,

In the given solution, the LCM is not multiplied with each term.

Hence,

Step 2 contains error in the given problem.

7 0

2 years ago

On Sunday, a local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. The number of cheeseburgers was sol

ipn [44]

Answer:

The number of hamburgers sold was 126.

Step-by-step explanation:

Let h = number of hamburgers sold

let c = cheeseburgers sold

c+h = 378

c = 2h

Substitute c =2h into c+h =278

c+h =378

2h+h = 378

Combine like terms

3h = 378

Divide by 3

3h/3 =378/3

h =126

The number of hamburgers sold was 126.

5 0

3 years ago

Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of

Blababa [14]

Answer:

Step-by-step explanation:

The rule of dilation is $D_{Q,\frac{2}{3}}.$ This means that each distance QX' is equal to $\dfrac{2}{3}QX,$ where X is initial point and X' is its image after dilation.

Since QA=6, then

$QA'=\dfrac{2}{3}\cdot 6=4.$

6 0

3 years ago

Read 2 more answers

Y=1/2x-1

Alinara [238K]

Answer:

Find where the expression

1/2x−1 is undefined.

x=1/2

Consider the rational function

R(x)=ax^n/bx^m where n is the degree of the numerator and m is the degree of the denominator.

1. If n<m, then the x-axis, y=0, is the horizontal asymptote.

2. If n=m, then the horizontal asymptote is the line y = ab.

3. If n>m, then there is no horizontal asymptote (there is an oblique asymptote).

Find n and m.n=0m=1

Since n<m, the x-axis, y=0, is the horizontal asymptote.y=0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x=1/2

Horizontal Asymptotes:

y=0

No Oblique Asymptotes

Subtract 2x from both sides of the equation.

y=4−2x

Rewrite in slope-intercept form.

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 4 and −2x.

y=−2x+4

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form

y=mx+b.

m= - 2b=4

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: −2

y-intercept: (0,4)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y

values.

Find the x-intercept.

x-intercept(s):

(2,0)

Find the y-intercept.

y-intercept(s):

(0,4)

Create a table of the x and y values.

x y

0 4

2 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −2

y-intercept:

(0,4)

Step-by-step explanation:

Hope it is helpful...

8 0

3 years ago