3х – 2y = 27
=
3х -
у = 24

Answers

Answer 1

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Slope = 3.000/2.000 = 1.500 x-intercept = 27/3 = 9 y-intercept = 27/-2 = -13.50000


Related Questions

Find the coordinates of the point(s) of intersection between the following functions: y=x-1 and y=117/x-5

Answers

Answer:

(-8.-9) and (14,13).

Step-by-step explanation:

y=x-1

y=117/x-5

As the 2 terms in x are both equal to y:

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

The required coordinate points are (-8.-9) and (14,13).

Functions and values

Given the following equations

y=x-1

y=117/x-5

Equating both function will give

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

Hence the required coordinate points are (-8.-9) and (14,13).

Learn more on intersection of function here: https://brainly.com/question/343077

Please help quickly

Answers

Answer:

the answer is n=17

Step-by-step explanation:

1/5= 8-5/n-2

If correct I’ll give you brainly

Answers

Answer:

0.4*0.5=0.2

Step-by-step explanation:

each shaded area is 10 by something, so we can assume this model is representing decimals

the other sides are 4 and 5, and it is in 10, so it is 0.4*0.5

0.4*0.5=0.2

How many quarters are there in 5 1/2

Answers

Answer:

Please mark as brainliest if you understood

Step-by-step explanation:

5 1/2

=11/2

=22/4

Therefore there are 22 quarters.

3/11 divided by 3/11 in simplest form

Answers

Answer:

1

3/2 or 1 1/2

Step-by-step explanation:

3/11 ÷ 3/11

Copy dot flip

3/11 * 11/3

3/3 * 11/11

1*1

1

9/10 ÷3/5

Copy dot flip

9/10 * 5/3

9/3 * 5/10

3 * 1/2

3/2

what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3

Answers

321
.
Substitute: 3 · (53–6.5)+4. 32
Calculate the power: 3x(125–6x5)+4x9
Calculate the product or quotient: 3x(125
-30)+4x9
Calculate the product or quotient: 3x(125
-30)+36
Calculate the sum or difference: 3x95+36
Calculate the product or quotient: 285+36
Calculate the sum or difference: 321

Answer: 321

Answer:

321

Good Luck!!

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

re upload plz help!!!!!

Answers

Answer:

1) A) 64 tickets

  B) $11

2) A) 20 rides

Step-by-step explanation:

1) a) set y to 37 because they made 37 dollars

37 = 0.50x + 5

32 = 0.50x.........subtract 5 from both sides

64 = x..................divide both sides by 0.50 to get x by itself

b) set x to 12 because x is the amount of ride tickets they bought

y = 0.50(12)+ 5

y = 6 + 5............multiply 12 by 0.50

y=11......................add

2) a) set both equations equal to each other to see when they will be equal

0.50x + 5 = 0.75x

0.50x = 0.75x - 5..........subtract 5 from both sides

0.50x - 0.75x = - 5........subtract 0.75x from both sides

-0.25x = - 5......................combine like terms

x=20...................................divide both sides by -0.25 to isolate x

(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT

Answers

Answer:

[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]

The file includes the input of your equation, comment if the equation you input is a mistake.

Answer:

2 ^ 3(x+1)

Step-by-step explanation:

Assuming  2^(4x+4) / 2 ^(x+1)

when bases are equal and exponents are in division it becomes subtraction

=> 2 ^ (4x + 4 - (x + 1) )

=> 2 ^ (4x + 4 -x - 1)

=> 2 ^ (3x + 3)

=> 2 ^ 3(x+1)

=> [tex]2^{3(x+1)}[/tex]

X+3y=24

Please solve super fast

Answers

Step-by-step explanation:

x+3y=24

3y/3=24/3

x+y=8

divide x to both side not to y

y=-x +8

through: (5, 4), slope = undefined
write the slope intercept

Answers

Answer:

Step-by-step explanation:

An "undefined slope" is a vertical line going through the x axis at 5.  The slope is undefined since there is no change in x for all values of y.  The means the slope, which is the change in y divided by the change in x, would be a fraction with a zero denominator.  This makes it undefined.  

One value of x, in this case x=5, will include all possible values of y.  There is no y-intercept, but the line has an x-intercept of 5.

help me please
only the 22. (c)

Answers

Answer:

d.

took the test

Step-by-step explanation:

29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease

Answers

29 times that 40 yuh lemme know if it’s wrong

What’s the value of x in this equation?

Answers

Answer:

20

Step-by-step explanation

trust me

Answer:

x = 20

Step-by-step explanation:

(5x + 35) + 45 = 180

These angles are opposites to each other so you know that together they equal 180.

Start off by adding 35 and 45. This gives you...

5x + 80 = 180

Then subtract by 80 giving you...

5x = 100

Then divide by 5. This gives you...

x = 20

I hope that this helps!!!

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Combined Area Expression:

(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)

= 4(16 + x)(8 + x)

Area:

4(16 + 5)(8 + 5) = 4 * 21 * 13

= 1092 m^2

Mimi is making cookies fo her family reunion. Each batch of cookies calls for 1 1/2 cups of chocolate chips. She makes 3.5 batches. How many cups of chocolate chips does she use?

Answers

Answer:

5 and 1/4 cups of chocolate chips

In this assignment, you will conduct research to find the best loan for your first car. Using reference
materials and Internet sites, you will collect information for a used car and loan options to buy the car.
You will use an online loan calculator to find the best option for a used car loan. You will do a multimedia
presentation on the best loan option for a used car and the resources you used, along with the options
you explored to decide on the best loan option. A list of search term suggestions for finding resources is
provided at the end of this guide.
Your presentation should include the following slides. The slides should be a title slide, a slide containing
your used car information, a slide containing information on loan options with a bank and with a credit
union, a slide including calculations, a slide comparing the loan options, a slide with the best choice for a
car loan, and a works-cited slide.

Answers

We have that for the Question, it can be said that this is a way to approach the presentation

The first slide should bear the presentation titleFollowed by your pick  or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information

Generally we are asked to conduct a research on your car  using  reference

materials and Internet sites

Where  Reference materials soak of none internet site that relate to the topic of cars

While

Internet sites refers to sites on the net that gives detailed and affirmed information on  used cars

e.g www.cars.com

Hence making use of a calculator online like Loan calculator at www.calculator.net ,you decide the best used cars based on price and Quality ratio

Using a multimedia entails the use of modern media gadgets and apps to make a presentation, and here your material will be those sites visited ,those none site resources used e.g QuestionnairesHow you made your price to quality ratio assessment, the other option you also thought where good in comparison with your option

Now on the slides

The first slide should bear the presentation titleFollowed by your pick  or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information

For more information on this visit

https://brainly.com/question/14209188  

Pls help with the second one. Thank you to the person who helped me with the first one.

Answers

A= 3, B= 4, C= 1.5, D= 4, E= 1, F=2

Please Explain How To Solve This

Answers

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

mark me brainliest :D

Answer:

listed below

Step-by-step explanation:

x values are domain and y values are range

1) Domain = {-2, -1, 0, 1}

Range = {-7, -5, -3, -1}

4) Domain = {5, 6, 7, 8, 9}

Range = {-3, 1, 2, 4, 5}

simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x

Answers

Answer:

36a and 2x-3.that is the answer

Split 70 into the ratio 3:4? I don't understand ratio :(

Answers

Answer:

30:40

Step-by-step explanation:

Item A:  item B :  total

3                 4        3+4

3                  4          7

The total is 70

70/7 = 10

Multiply each item by 10

Item A:  item B :  total

3*10           4 *10     7*10

30                 40       70

Answer:

30 and 40

Step-by-step explanation:

3 : 4  means 3 out of every 7 objects and 4 out of every 7.

[tex]\frac{3}{7} (70) = 30[/tex]

[tex]\frac{4}7} (70) = 40[/tex]

   

plz help will mark as brainliest​

Answers

10

Explanation:
10/2 = 5

5. The function f(x) is shown in this graph.

The function g(x) = -3x - 1. Compare the slopes by writing "less than, "greater than," or "equal to" in the blank.

The slope of f(x) is ______ the slope of g(x).​

Answers

Answer:

The slope of f(x) is greater than the slope of g(x)

Here is:

https://www.insta gram.com/p/CPqiSD4nxoD/?utm_medium=copy_link

P is the point of intersection of the lines with equations 5x — y = 1 and x + 2y = 9
Write down the coordinates of P.

Answers

Answer:

P = (1,4)

Step-by-step explanation:

First turn both equations to slope intercept form (y=mx+b).

5x - y = 1

Subtract 5x on both sides to get -y = -5x + 1, and since we want the y to be positive simply flip all the signs to get

y = 5x - 1.

x + 2y = 9

Subtract x on both sides to get 2y = -x + 9, then divide both sides by 2 to get

y = -1/2x + 9/2.

Now you can graph the two lines and see where they intercept each other. (I graphed them above for you⤴⤴⤴).

Hope this helps :)

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups. Group startsTrue or False

Answers

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Univariate statistical tests are statistical test that are used to observe a single variable. We can have one or more independent variables but we study only one dependent variable.

So, univariate statistical tests are not most appropriate for testing hypotheses that compare the characteristics of two groups.

So, Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Learn more about univariate statistical tests here:

https://brainly.com/question/13415579

What is the solution to this equation?

Answers

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

Check here LOADING... for instructional material to complete this problem.
Evaluate the formula z=
p−p
pq
n when p=
388
1386​, n=1386​, p=0.30​, and q=1−p

Answers

Answer:

-1.63

Step-by-step explanation:

Plug in the values listed into the equation

([388/1386] - 0.30) / √(0.30[1-0.30)/1386

-0.02006/0.01231

-1.63

if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?​

Answers

Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Is 9/12 somehow related to the fractions "4/5","3/4" and "2/3"?
State the connection or how to get 9/12 from those fractions pls

Answers

Answer:

3 / 4

Step-by-step explanation:

9 = 3 x 3

12 = 3 x 4

9 / 12

= ( 3 x 3 ) / ( 3 x 4 )

= 3 / 4

Answer:

3/4

Step-by-step explanation:

9= 3×3

12= 3×4

9/12

= (3×3) / (3×4)

= 3/4

What is the slope-intercept form 10x-7y=-8

Answers

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

10x - 7y = -8

      -7y = - 10x - 8

Divide the equation by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}[/tex]

Write the decimal as a fraction in simplest form.
5. -18.04

Answers

Answer:  - [tex]\frac{451}{25}[/tex]

Step-by-step explanation:

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