Ok last one,
Find the x-intercept of the following equation. Simplify your answer.

4x + 13y = 6


x-intercept =

Answers

Answer 1

Answer:

 x-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Rearrange:

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

                    4*x+13*y-(6)=0

Step 1: Equation of a Straight Line

Solve   4x+13y-6  = 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  4x+13y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154

 y-intercept = 6/13  =  0.46154  

Calculate the X-Intercept :

When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000

 x-intercept = 6/4 = 3/2  =  1.50000  

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 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.615/2.000 = -0.308  

Geometric figure: Straight Line

 Slope = -0.615/2.000 = -0.308

 x-intercept = 6/4 = 3/2 = 1.50000

 y-intercept = 6/13 = 0.46154


Related Questions

Y ∝ √ x If y = 42 when x = 9 find, y when x = 100

Answers

Answer:

y = 140

Step-by-step explanation:

Given y varies directly with [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation

To find k use the condition y = 42 when x = 9 , then

42 = k [tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )

14 = k

y = 14[tex]\sqrt{x}[/tex] ← equation of variation

When x = 100 , then

y = 14 × [tex]\sqrt{100}[/tex] = 14 × 10 = 140

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Answers

Answer:

30

Step-by-step explanation:

Answer: January has 31, February has 28 or 29, March has 31, April has 30, May has 31, June has 30, July has 31, August has 31, September has 30, October has 31, November has 30, and December has 31.

Explanation: :3

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Answers

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Answer:

  yes

Step-by-step explanation:

The parent function e^x has a horizontal asymptote at y=0.

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Answers

answer:
the triangle shown in question 5 is congruent. also known as SSS (side,side,side). the reason why its SSS is because if you look at the triangle, you see 3 different lines on the outside. one has only one line, one has 2 lines, and one has 3 lines. this is an indication that the triangle is congruent. you could not say AAA (angle,angle,angle) because that does not mean the triangles are considered congruent.

hopefully this helped :)

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Answers

Answer:

Answer is in the picture. hope it helps

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Answers

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Step-by-step explanation:

Sana maka help

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Answers

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In the figure below, m
Il n ánd p || q. Find the values of x and y.

Answers

Hey! So the answer is Y=30 and x = 114

Answer:

114 and 30

Step-by-step explanation:

The angles with measure of 66 and x are consecutive interior angles and therefore supplementary:

x + 66 = 180x = 180 - 66x = 114

The angles x and 4y - 6 are alternate interior angles and therefore congruent:

x = 4y - 6114 = 4y - 64y = 114 + 64y = 120y = 120/4y = 30



For the numbers 2 through 9 on a telephone keypad, draw two mapping diagrams: one mapping numbers
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Answers

Look it up on quizzes

Carlos is going on a boat tour the boat will travel a total distance of 35 km during the seven hour tour if the boat travels at a consistent speed during the torr what distance in kilometers should the boat travel in three hours

Answers

Answer:

We can easily figure out how fast the boat is moving per hour.

35 km / 7 hours = 5 km/h

We now know that we are moving at a rate of 5 kilometers every 1 hour. We can now take our 5 km/h and multiply it by 3 hours to get our answer

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Answers

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Kaj bought snacks for her team's practice. She bought a bag of chips for $2.44 and a
20-pack of juice bottles. The total cost before tax was $26.44. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs.

Answers

Answer:

j = $1.20

Step-by-step explanation:

26.44 (total cost) - 2.44 (cost of chips) = 24

$24 dollars (cost of pack of juice bottles) divided by 20 (number of juice bottles in the pack = 1.2

The required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

She bought a bag of chips for $2.44 and a 20-pack of juice bottles.
The total cost before tax was $26.44.
To determine and solve an equation that can be used to determine j, how much each bottle of juice costs.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the cost of the bottle be x,
According to the question,
2.44 + 20x = 26.44
20x = 26.44 - 2.44
x = [24] / 20

x = $1.2

Thus, the required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2



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Answers

there are 25 total flowers in the garden

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Answers

Answer:

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Step-by-step explanation:

Let's set up an equation:

400 - 3a = 214 ( let a be your age)

Add 3a to each side:

400 = 214 + 3a

Subtract 214 from each side:

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Divide each side by 3:

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Answers

Answer:

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Step-by-step explanation:

-3t + 9 greater than or equal to-21

Answers

Answer

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

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Answers

Answer:

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c
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Answers

i feel like your question is incomplete, but i’m pretty sure it’s $21

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Answers

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Answers

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Answers

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Answers

Answer:

100

Step-by-step explanation:

The perfect square integers are:

1^2 , 2^2, 3^2, 4^2, 5^2, 6^2, ...

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Answers

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Answers

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khhikhhjjhhhjjhhhgggggghhhhh

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Answers

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60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity.

18 boys chose biking and 29 boys chose fishing.

The remaining boys did not complete the survey.


Which expression gives the percent of survey participants who chose fishing?

Answers

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Answers

Answer:

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Step-by-step explanation:

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