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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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Find the equation of a line parallel to 2x-2y=-4 that passes through the<br> point (3,9).
erastovalidia [21]

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point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

Learn more in depth about similar problem at brainly.com/question/1884491

#SPJ1

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1 year ago
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