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agasfer [191]
3 years ago
9

How do you find the x intercept, y intercept, and M

Mathematics
1 answer:
Allisa [31]3 years ago
6 0
You can divide your equation by 12 to put it into intercept form. Then read the intercepts from the equation.
.. (2x/12) + (-3y)/12) = 1
.. x/6 + y/-4 = 1

The x-intercept is 6
The y-intercept is -4

The "slope triangle" is 4 units high and 6 units wide, so ...
.. the slope is m = 4/6 = 2/3.

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I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the
Ugo [173]

Assuming the equation is:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)


When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.


Here the denominators are 2 and 10, hence the LCM is 10.


Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

5x-(10x-25)=30(x+3)-10(x-14)

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5


In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)

x-(2x-5)=6(x+3)-2(x-14)

Now, distribute, i.e. remove parentheses and distribute:

x-2x+5=6x+18-2x+28

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

7 0
3 years ago
Read 2 more answers
What is the answer for 9/49 plus 19/21?
Schach [20]

Answer:

160/147

Step-by-step explanation:

6 0
3 years ago
An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How
evablogger [386]

Answer:

10

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

7 0
3 years ago
Who’s right? And why?
kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

(x_1,y_1) = (3,275) \text{ and } (x_2,y_2)  = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

3 0
2 years ago
What is the equation of the line graphed below? Answer choices shown in image as well as the graph
lorasvet [3.4K]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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