Help please! How do I write an equation in standard form using the information on the graph?

Help Please! How Do I Write An Equation In Standard Form Using The Information On The Graph?

Answers

Answer 1

Answer:

  3x -y = 2

Step-by-step explanation:

You want a standard form equation for the line through the points (0, -2) and (2, 4).

Slope

The slope of the line is the "rise" divided by the "run". The given point on the right is 3 grid squares above the one on the left. It is one grid square to the right. So, the slope is ...

  m = (squares above)/(squares to the right) = 3/1 = 3

If we consider the actual x- and y-values represented by these grid squares, then the slope is ...

  m = (4 -(-2))/(2 -0) = 6/2 = 3

Intercept

The point (0, -2) tells you the y-intercept is -2. That is where the line crosses the y-axis.

Slope-intercept equation

With this information, we can write the slope-intercept form equation for the line:

  y = mx +b . . . . . . . line with slope m and y-intercept b

  y = 3x -2 . . . . . . . . line with slope 3 and y-intercept -2

Standard form

The standard form of an equation for a line is ...

  ax +by = c

where a, b, c are generally mutually-prime integers with a ≥ 0. If a=0, then b > 0.

We can rearrange the slope-intercept equation to put it into this form.

  y = 3x -2

  3x -y -2 = 0 . . . . . subtract y

  3x -y = 2 . . . . . . . add 2. This is the standard-form equation of the line.


Related Questions


Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a
car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster
than on his bike. What was Miguel's average speed on his bike and in the car?

Answers

Answer:

Bike: 10 miles per hour
Car: 30 miles per hour

Step-by-step explanation:

He spent: 2h/(1+3) = 0,5h by car and 0,5h x 3 = 1,5h by bike
The car is: 15 miles/ 0,5h = 30 miles/h
The bike is: 15 miles/ 1,5h = 10 miles/h

Can someone answers this

Answers

Answer: ( see image )

Step-by-step explanation:

hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality are

-6x + 15 < 10 - 5x

A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Solving inequality and determining the correct representations

From the question, we are to determine the correct representations of the inequality

From the given information,

The given inequality is

-3(2x - 5) < 5(2 - x)

To determine the correct representations, we would proceed to solve the inequality

Solving the inequality

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

This is one of the representations of the inequality

Then,

Collect like terms

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

Multiply through by -1

x > 5

If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.

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The ratio 81:108 in the simplest form

Answers

The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities

Answers

The number of months Mark can have the phone is given by the equation

A = 11.4 months

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Answers

Answer:

See below

Step-by-step explanation:

I guess if you look at the zeroes/x-intercepts, we got (3,0) and (-7,0) as zeroes.

Additionally, we can calculate the minimum by expanding the function:

[tex](x-3)(x+7)=x^2+4x-21[/tex]

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{4}{2(1)}=-2\\\\f(-2)=(-2)^2+4(2)-21=4+8-21=12-21=-9[/tex]

So the minimum of the function is (-2,-9)

Also, our y-intercept is (0,-21)

3a+2b
Help me please
I can’t do it

Answers

Answer:

Question is not clear

Step-by-step explanation:

The perimeter of a rectangle is 64 feet. The length is two more than double the
width. Find the dimensions of the rectangle.

(Remember Perimeter of rectangle = 2L+ 2w)

Answers

Answer:

To solve this problem, we can set up the following equation:

2L + 2W = 64

We are told that the length of the rectangle is two more than double the width, so we can write the following equation:

L = 2W + 2

Substituting this equation into the first equation, we get:

2(2W + 2) + 2W = 64

Simplifying this equation, we get:

6W + 4 = 64

Subtracting 4 from both sides, we get:

6W = 60

Dividing both sides by 6, we get:

W = 10

The width of the rectangle is 10 feet.

To find the length of the rectangle, we can substitute this value back into the equation L = 2W + 2 to get:

L = 2(10) + 2

= 20 + 2

= 22

The length of the rectangle is 22 feet.

Therefore, the dimensions of the rectangle are 10 feet by 22 feet.

Step-by-step explanation:

Width = 10
Length = 22

Explanation

1. Write the equation L= 2w + 2 for the given statement length = two more than doubled word.

2. 2(2w+2) represents 2L in the perimeter equation. Solve 2(2w+2) + 2w = 64 to find the value of the width.

3. Distribute the 2 into the parentheses first, which should give you 4w + 4 + 2w = 64.

4. Combine like terms 4w and 2w leaving you 6w + 4 = 64.

5. Subtract 4 on both sides of the equation to get 6w alone. 6w = 60.

6. Divide by 6 on both sides to solve for w. w = 10.

7. Input x = 10 into 2w + 2 to find the length of the rectangle. 2(10) + 2 = l

8, multiply 2 by 10, which is 20. Add that to 2, which is 22.

2 alien spaceships are traveling toward each other from space stations that are 7100 km apart at speed of 110000 km

Answers

It would take 116.18 seconds for the space stations that are 7100 km apart at speed of 110000 km to meet

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

The speed of an object is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Distance = Speed * time

The spaceships are moving at 110000 km/h

The distance covered by each in x hours is:

Distance = 110000 * x = 110000x

Since they are 7100 km apart, hence:

110000x + 110000x = 7100

220000x = 7100

x = 0.03227 hours = 116.18 seconds

It would take 116.18 seconds for the spaceships to meet.

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How do I write an equation for this relationship (where y represents the number of blocks and x represents the stage number).

Answers

The equation of the line is y = 4x + 1 , where the slope of the line is m = 4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of blocks be y

Let the stage number be x

Let the first point be represented as P = P ( 1 , 5 )

Let the second point be represented as Q = Q ( 2 , 9 )

Now , the slope of the line between the points be

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 9 - 5 ) / ( 2 - 1 )

Slope m = 4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = 4 ( x - 1 )

On simplifying the equation , we get

y - 5 = 4x - 4

Adding 5 on both sides of the equation , we get

y = 4x + 1

Therefore , the value of A is y = 4x + 1

Hence , the equation of line is y = 4x + 1

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Complete the table using the function c = 12m - 17.

Answers

Step-by-step explanation:

c = 12m - 17

m = 2

c = 12×2 - 17 = 24 - 17 = 7

m = 4

c = 12×4 - 17 = 48 - 17 = 31

m = 8

c = 12×8 - 17 = 96 - 17 = 79

Jahnay is following this recipe to make cakes. Jahnay uses 780 g of butter. How many cakes is Jahnay making? Recipe: Makes 1 Cake 120 g sugar 130 g butter 260 g flour 3 eggs

Answers

Jahnay is making 6.5 cakes from the given ingredients.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Recipe: Makes 1 Cake =  120 g sugar + 130 g butter + 260 g flour + 3 eggs.

Jahnay is following this recipe to make cakes.

Jahnay uses 780 g of butter.

To find the number of cakes:

Use division operation,

780 ÷ 120,

= 780/120

= 78/12

= 6.5

Therefore, Jahnay makes 6.5 cakes.

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Given points A (1, 5) and B (-7, -5), which of the following coordinates is the midpoint of AB? (-3, 0) (-4, 0) (-2, 0) (4, 0) (2, 0)

Answers

Using formula of midpoint of a line, the coordinate of the midpoint is (-3, 0)

What is Midpoint of Line

The midpoint of a line is a point that is equidistant from both endpoints of the line. It can be found by taking the average of the x-coordinates of the two endpoints, and then taking the average of the y-coordinates of the two endpoints. For example, if the two endpoints of a line are (x₁, y₁) and (x₂, y₂), then the midpoint of the line is:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Substituting the values into the formula;

M(x, y) = (-7 + 1) / 2, (-5 + 5) / 2

M(x , y) = -6/2, 0/2

M(x, y) = -3, 0

The coordinate of midpoint is (-3, 0)


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Please help me, I need help asap !! I can’t figure it out

Answers

23/35

when you make them have a common denominator you get 30/35 wants to get down to 7/35


when you subtract them you get 23/35, meaning you have to take off 23/35 inches of the pipe in order to get it to 1/5

[NEED HELP ASAP] How do I find the surface area of the shape in the picture?

Answers

When calculating the surface area of a 3D shape, it is important to remember to include the area of all the components that make up the shape.

How do I find the surface area of the shape in the picture?The surface area of the shape in the picture is approximately 300.4 cm².To calculate this, use the formula for the surface area of a triangular prism, which is SA = 2(bhl) + 2(bh + la).In this case, b = a = 4 cm, h = 12 cm, and l = s = 4.6 cm, so the calculation is SA = 2(4 x 12 x 4.6) + 2(4 x 4.6 + 4 x 12) = 300.4 cm².To calculate the surface area of the shape in the picture, you need to first calculate the area of the rectangle, triangle and circle.The rectangular portion has a height of 12 cm and a length of 4 cm, so the area is 48 cm^2.The triangle has a height of 12 cm and a base of 4 cm, so the area is 24 cm^2. The circle has a radius of 4.6 cm, so the area is 66.48 cm^2. Therefore, the total surface area of the shape is 138.48 cm^2. To calculate the surface area, you need to add the area of each of the components.For example, the area of the rectangle is 48 cm^2, the area of the triangle is 24 cm^2, and the area of the circle is 66.48 cm^2.The total surface area of the shape is then the sum of all these components, which is 138.48 cm^2.In this example, the rectangular portion, triangle and circle each had to be calculated separately in order to find the overall surface area.

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The physician orders 150 mg/5 kg. The patient’s weight is 75 kg. How many grams of medication has the physician ordered?

Answers

Answer: 2.25 grams

Step-by-step explanation:

In this problem, we are given the ratio of grams to weight. Since we are trying to find how many grams to give to a person with a specific weight, we can use proportions to solve.

[tex]\frac{150mg}{5kg} =\frac{x}{75kg}[/tex]               [cross multiply]

[tex]11250=5x[/tex]                  [divide both sides by 5]

[tex]x=2250mg[/tex]

We are almost done with the problem. The problem is asking for grams, not mg, so we can use unit conversions to change that.

[tex]\frac{1000mg}{1g}=\frac{2250mg}{y}[/tex]          [cross multiply]

[tex]1000y=2250[/tex]               [divide both sides by 1000]

[tex]y=2.25[/tex]

Therefore, we need to give 2.25 grams.

what's the y intercept of y=-2x+ -20​

Answers

Answer: y=20-2x

Step-by-step explanation:

PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.


How many pounds of cement does he use?

Answers

The pound of cement used based on the information will be C. 2 pounds.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.

The pound of cement used will be:

Gravel = 1 2/3 × 3

= 5 pounds

Cement used will be:

= 2/5 × 5.

= 2 pounds.

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Toni runs around her school's baseball diamond. Each side is 27 m long. Note: A baseball diamond is square. How far does Toni run? m​

Answers

Answer:

If we assume she runs around it once and since they tell us its a square: 27x4=108

Step-by-step explanation:

Judi is making a rope ladder. She uses 1/2 yard of for each step. How many yards of rope can she make for step?

Answers

The number of yards of rope she can make for the step is 3 yards

How to determine the number of yards of rope she can make for the step?

From the question, we have the following parameters that can be used in our computation:

Yards of rope per step = 1/2 yards per step

Total number of steps = 6 steps

The number of yards of rope she can make for the step can then be calculated using the following equation

The number of yards of rope = Total number of steps * Yards of rope per step

Substitute the known values in the above equation, so, we have the following representation

The number of yards of rope = 1/2 * 6

Evaluate

The number of yards of rope = 3

Hence, the number of yards of rope is 3

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Complete question

Judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope?

Find the equivalent measures. Express as a decimal
(a) 250 cm =

Answers

The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.

Given that f(x)=√x, describe the function of g(x)
shown on the graph.
The function is represented by the equation
g(x)=√x +
The function g(x) has a domain x²
The function g(x) has a range y ≥

Answers

Answer: It's not possible to accurately describe the function g(x) without more information about the equation or the graph. The equation provided is g(x)=√x + , which is incomplete, it does not have a value assigned for the "+" operator, it could be added to any number, for example, g(x)= √x + 1, or g(x)= √x+5, and so on.

Additionally, the statement that the function g(x) has a domain x² and range y ≥ , is not a valid mathematical notation or statement. The domain of a function is the set of all input values (x-values) for which the function is defined, it's usually a set of real numbers or interval, like [-∞,+∞], (a,b) or [a,b], for example.

And range is the set of all output values (y-values) of a function, it's also usually a set of real numbers or interval.

I would suggest if you can provide me with the complete function of g(x) and more detailed information about the graph. I can help you better understand its features and properties.

Step-by-step explanation:

Can somebody help me? I need help please

Answers

By using concept of angle relationship, we get x equal to 27°.

What are angle relationships defined as?

We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.

∠BAF+∠EAF=180°

∠EAF=180° - 138°

∠EAF=42°

Since, ∠EAF and ∠BAC are vertically opposite angle,

Hence,

∠EAF =  ∠BAC =42°

Again,

∠EAD+∠DAC+BAC=180°

4x+30°+42°=180°

4x=180°-72°

4x=108°

x=27

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ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.

Pls hurry!!

Answers

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Prove that limx→2 2^x=4 using the formal definition of limit​.​

Answers

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove that, [tex]\lim_{x \to \22} 2^{x}=4[/tex]

Plug in the value of 2 into the limit.

[tex](2)^{2}=4[/tex]

Thus we proved the limit.

b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle. (10 points)

Answers

[tex] \div 7841562130. = 98[/tex]

Answer:

123459c

Step-by-step explanation:

round

what is the value of q³?!​

Answers

Answer:

  -6

Step-by-step explanation:

You seem to want the value of q₃ in the matrix Q⁻¹.

Matrix inverse

The inverse matrix, Q⁻¹, is the transpose of the cofactor matrix, divided by the determinant. That makes q₃ = -q₂₁/det(Q):

  q₃ = -(-2/3)/((-1(-1/9) -(-2/3)(-1/3))

  q₃ = (2/3)/(1/9 -2/9) = (6/9)/(-1/9)

  q₃ = -6

__

Additional comment

The transpose of the cofactor matrix of a 2×2 matrix is the original with the diagonal terms swapped, and the off-diagonal terms negated. Basically, the only math involved in computing the inverse is finding the determinant, and dividing by it.

Question 4 of 10
Find the difference. Enter your answer in the box below as a fraction, using
the slash mark (/) for the fraction bar.
8-7
14 14

Answers

There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.

what is fractions ?

A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.

Given,

To get the difference between 16/17 and 14/17, discover their common denominator first.

17 is the shared denominator of both fractions.

To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:

16 - 14/17 (16 - 14) = 2/17 is the solution.

Therefore, there is a 2/17 difference between 16/17 and 14/17.

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Please help. Assignment is due today. I am terrible with math, I don't understand this. Thanks in advance.

Answers

Answer:

a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)

Step-by-step explanation:

Solutions for graph a, b and c are attached.

a. (x, y) to (3x, y)

A' (-3, -1) B' (3, 2) C' (6, 0)

b. (x, y) to (x, 3y)

A' (-1, -3) B' (1, 6) C' (2, 0)

c. (x, y) to (2x, 3y)

A' (-2, -3) B' (2, 6) C' (2, 0)

REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.


Given that M =
2x 2
93
calculate the value(s) of x for which [M] = 0.

Answers

4 93
M equal 0 calculate
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