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3 years ago

Write the equation 2x - 3y = 6 in slope-intercept form. User: Write the equation for 5x + 2y = 3 in slope-intercept form.

1 answer:

7 0

Slope intercept form is: y=mx+b

So you take the first equation: 2x-3y=6 and you subtract the 2x from both sides and get: -3y= 2x+6

Then you take that equation: -3y= 2x+6 and divide -3 from both sides and get: y= -2/3x -2

So the equation 2x-3y=6 in slope intercept from is
y = -2/3x -2

Can you do the next one your self based on the one i did...?

(Scroll and check ⬇️ )

Here ya go ;)

5x + 2y = 3 okay same steps as above you want to get the x on the other side so you subtract the 5x from both sides and get:

2y = 5x + 3

Then you want to get the y by its self so you divide the 2 from both sides so you get:

y = 5/2x +2/3

Now idk if your allowed to leave it like that (based on your teacher's preferance really) but if not you can simplfy your fractions and get:

y = 2.5x + 0.66

( i would leave the 2/3 and just leave it as y = 2.5x + 2/3 ) but you do you and i hope that helped you :)

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3 years ago

Find the sum of the convergent series 7 0.7 0.007

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$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

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3 years ago

Mountain View Middle School students work on square desktops. The area of the square desk surface is 4 square feet. What is the

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Answer:

2 Feet

Step-by-step explanation:

The area is found by multiplying length by width. Since its a square the length and width are the same and it would have to be 2.

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2 years ago

The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot depos

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Answer:

Step-by-step explanation:

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3 years ago

The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?

NARA [144]

Slope-intercept form is y = mx + b

So we can manage to do this:

(y - yo) = m.(x - xo)

Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.

(7 - 2) = m.(1 - 0)

5 = m

m = 5

So,

y = 5x + b

Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.

(y - yo) = m.(x - xo)

(y - 2) = 5.(x - 0)

y - 2 = 5x

y = 5x + 2

So, this is the line in slope-intercept form.

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3 years ago