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3 years ago

The line has the same slope as 7x-y=5 and the same y intercept as the graph 3y-11x=15

2 answers:

4 0

7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.

-BARSIC- [3]3 years ago

4 0

7x - y = 5 (Same slope) , 3y - 11x = 15 (Same y-intercept)

So, our first step is to find the slope of the first statement! :)

7x - y = 5

Subtract 7x from both sides, so that it is a y-equals equation.

-y = -7x + 5

Divide both sides by -1.

y = 7x - 5

So, our slope is 7!

3y - 11x = 15

To find the y-intercept, we must get y by itself to make this into a y-equals equation.

So, simply add 11x to both sides!

3y = 11x + 15

Divide both sides by 3.

y = 11/3x + 5

So, our y-intercept is 5!

Slope = 7, y-intercept is 5.

Standard form = Ax + By = C

So, we must first put this into slope-intercept form, which is y=mx+b

Simply plug in the values for m and b.

y = 7x + 5

Subtract 7x from both sides.

-7x + y = 5

However, in standard form, x can NEVER be negative, so simply divide everything by -1!

7x - y = -5 <=== Standard Form

~Hope I helped!~

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3 years ago

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The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A de

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Answer:

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Step-by-step explanation:

We have the following space provided:

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$P(a) =0.1, P(b)=0.1, P(c) =0.2, P(d)=0.4, P(e)=0.2$

And we define the following events:

A= [a,b,c], B=[c,d,e]

For this case we can find the individual probabilities for A and B like this:

$P(A) = 0.1+0.1+0.2 = 0.4$

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Determine:

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$P(A') = 1-P(A) =1-0.4=0.6$

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$P(A \cup B) =P(A) +P(B)-P(A \cap B)$

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$P(A \cup B) =0.4 +0.8-0.2 =1.0$

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