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Georgia [21]
3 years ago
12

Determine the equation whose roots are –1 –5 and –3

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0
Well you are given the roots.

if we have 3 it would.have to be x^3. So something like:

y = ax^3 + bx^2 + cx + d

this could.also be written:

y = (x + a) (x + b) (x + c)

when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.

y = (-1 + a) (-5 + b) (-3 + c)

now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.

y = (x + 1) (x + 5) (x + 3)

this is your equation. You can multiply out if necessary
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Delicious77 [7]

Answer:

y=-1/2x-5

Step-by-step explanation:

First we need to put (y-3)=2(x-4) in slope intercept form.

we need to do order of operations....

so we need to first do the parenthesis

x*2= 2x

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add 3 on both sides to isolate y

y= 2x-5

so now we know the y=mx+b form

this is one line...

now we need to find out what line is perpendicular.

Perpendicular lines have opposite reciprocals slopes.

y=-1/2x-5

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3 years ago
Given the following definitions:
sveticcg [70]

Step-by-step explanation:

First,

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= {1,5}

Now,

A'n B = (A) - (A intersect B)

= {1,2,4,5} - {1,5}

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Algebra II Help??? Subtracting Fractions<br><br> (2x)/(y^2-x^2) - (x)/(y-x)
denis23 [38]
Make bottom number same

ok, so remember
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so

to get from (y-x) to (y²-x²), multiply 2nd fraction by (y+x)

so multiply 2nd fraction by (y+x)/(y+x)
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3 years ago
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