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zzz [600]
3 years ago
5

The graph shows the system of equations that can be used to solve x cubed + x squared = x minus 1.On a coordinate plane, a line

with positive slope and a cubic function are shown. They intersect at (negative 2, negative 3).Which statement describes the roots of this equation?1 rational root and 2 complex roots1 rational root and 2 irrational roots3 irrational roots3 rational roots
Mathematics
1 answer:
olasank [31]3 years ago
7 0

9514 1404 393

Answer:

  (a) 1 rational root and 2 complex roots

Step-by-step explanation:

If you believe the description of the point of intersection, it represents a single real (and rational) root of the equation. Then the other two roots must be complex. The equation has (reportedly) ...

  1 rational root and 2 complex roots

_____

<em>Additional comment</em>

In fact, the only real root is <em>irrational</em>, near -1.8392867552141611326. It is not x = -2. Trying x = -2 in the equation gives -8 +4 = -2 -1, a false statement.

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Answer:

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Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple.  When increasing things proportionally you basically multiply everything by the same number.  A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B.  Well, what if you made the recipe twice?  that would be 20 things from 2 of A and 4 of B.  This is the same as changing the recipe to make double.  It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples.  We want to know how much we changed it by, then that much is how much the total number of muffins changes.  So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups.  We want to know what to multiiply by to do this.  So we set up a simple algebraic equation.

(3/4)x = 9/8

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(3/4)x = 9/8

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x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay!  If you don't gt fraction multiplication let me know.  But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

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