Use the graph to write a linear function that relates y to x .

Use The Graph To Write A Linear Function That Relates Y To X .

Answers

Answer 1

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2


Related Questions

what is the x and y intercepts using this equation?
2y + 6 = 0

Answers

Answer:

x is 2 and 6 is y

Step-by-step explanation:

2x -14 = -9 answer for this equation

Answers

Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way

Step-by-step explanation: Move all terms that don't contain  

x

to the right side and solve.

Answer:

x= 2.5

Step-by-step explanation:

Simplifying

2x + -14 = -9

Reorder the terms:

-14 + 2x = -9

Solving

-14 + 2x = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.

-14 + 14 + 2x = -9 + 14

Combine like terms: -14 + 14 = 0

0 + 2x = -9 + 14

2x = -9 + 14

Combine like terms: -9 + 14 = 5

2x = 5

Divide each side by '2'.

x = 2.5

Simplifying

x = 2.5

PLEASE HELP WILL GIVE BRAINLEST

Answers

=√40 = 6.32455 ≈ 6.3

Answer:  B )  6.3

What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd

Answers

Answer:

4+8+10+6=28

Step-by-step explanation:

15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj

Answers

Answer:

x = −1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Original Equation:

15 + 4x = 12 + x

Subtract x from both sides

15 + 3x = 12

Subtract 15 from both sides

3x = -3

Divide both sides by 3

x = -1

Hope this helps :)

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A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.

Answers

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

What is y=6/5x+4/5 perpendicular

Answers

Answer:

y=-6/5x

Step-by-step explanation:

I will make you brainliest if correct. explain how you got it please

Answers

Answer:

Perpendicular

Step-by-step explanation:

Slope of l1=6\9 = 2\3

Slope of l2 =-3\2

perpendicular lines

Answer:

perpendicular

Step-by-step explanation:

l1 slope= 2/3

l2 slope= 3/2

Given points A(9,3), B(-3,6), and C(-7,3). Which statement describe the vectors that include these points? Check all that apply

Answers

B C D F are the right answers

Step-by-step explanation:

Answer   c,e

Step-by-step explanation: i just did it

same question again. ugh

Answers

Answer:

-3

Step-by-step explanation:

the slope is -3 because it goes down 3 y for every 1 forward on x

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, -3)

Point (-1, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract:               [tex]m=\frac{6}{-2}[/tex]Divide:                          [tex]m=-3[/tex]

the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?​

Answers

Answer:

ratio 4x:3x

total= 7x parts = 35(given)

x= 35/7 =5

boys = 4x = 20

girls = 3x = 15

The number of boys are more by 20-15 = 5.

Step-by-step explanation:

Answer:

20 boys 20:15

Step-by-step explanation:

helpful??

4.3x - 6 = 8 + 2.3x*

Answers

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Follow the following steps

[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]

Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?

Answers

Answer:

Starts at 6:15

Note: An hour is 60 minutes.

So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.

So the film ended at 8:25.

Round 67,891 to the nearest hundred

Answers

Answer:

67,900

Step-by-step explanation:

The answer is 67,900

Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;

Answers

i did this last year lol ;-;

The function h(x) is h(x)=5/4 x² - 5/2 x.

What is quadratic equation of graph?

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)

So, 5=a(-2-0)²+0

5=4a

a=5/4

Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get

f(x)= 5/4 x²

Equation of straight line with coordinates (-2, 5) and (0, 0) is

Slope m=5/2

Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get

0=5/2(0)+c

c=0

Substitute, m=5/2 and c=0 in y=mx+c we get

y=5/2 x

So, g(x)=5/2 x

Now, h(x)=f(x)-g(x)

h(x)=5/4 x² - 5/2 x

h(x)=5/2 x(1/2 x-1)

1) h(x)=0

5/2 x(1/2 x-1) =0

1/2 x-1=0

1/2 x=1

x=2

2) For x=2, h(x) is 0

3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.

To learn more about the quadratic function visit:

https://brainly.com/question/27918223.

#SJ5

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?

Answers

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

Plz help I’m getting timed

Answers

100*4/5



Hope all is well

Which graph best represents a system of equations that has no solution?

Answers

Answer:

D, because parallel lines never have a solution.

Step-by-step explanation:

The graphs which show no solution is required.

Option D has no solution.

When a system of linear equations have a solution means that the lines intersect each.

This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.

Options A, B and C all have lines that intersect each other at some point.

In option D the lines are parallel to each other.

So, option D has no solution.

Learn more:

https://brainly.com/question/15721976?referrer=searchResults

Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep

Answers

Answer:

0.64, she spent 64% of her money.

Step-by-step explanation:

help please im so confused

Answers

Answer:

well figure it out

Step-by-step explanation:

Expand and simplify
(3x + 2)(x - 1)​

Answers

I’m pretty sure the answer is 3x^2 - x - 2

I really need this done today please help PLEAASSSEEE

Answers

Answer:

A and C

Step-by-step explanation:

Answer:

If I am correct, the answer is A, C

Step-by-step explanation:

Decrease £2123 by 8%

Answers

Should be £1953.16 :)

Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?

Answers

7 because that’s just the right answer duhhhhhhh

I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?

Answers

6 is grams and the other is ounce.

A gram is smaller than an ounce

Answer:

6 ounces equals to 170 grams

Step-by-step explanation:

Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

15 + 40 = 55, so 55% of the toy cars are not multicolor.

100 - 55 = 45 so 45% of the toy cars ARE multicolor.

To find what 45% of 400 is, we multiply 400 by 0.45

400*0.45 = 180 so there are 180 multicolor cars.

Please help, I have nothing great to offer you though.


Which set of numbers includes only integers?

Answers

Answer

-10,-7,0,98,145

Step-by-step explanation:

Integers are whole numbers negative or positive.

Hope that helped :)

through: (3, 5) parallel to y=3x-1

Answers

Answer:  y = 3x - 4  will be the parallel line to the line  y= 3x -1

Step-by-step explanation:

Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b  where m is the slope and b is the

y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.

 5= 3(3) + b  

5 =  9  + b

-9    -9

b = -4    

Since the y intercept is negative 4, the equation will be  y = 3x -4

y = 3x-4 yuh yuh yuh yuh

If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP

Answers

if the line is flipped you know what to do flip it over

Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: thats a tuff one

Step-by-step explanation:

im not sure

The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15

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