Answer:
1. The given equation does not have root at x = - 3.
2. (x - 3) (x + 1) (x² + 4) = 0
This curve will intersect twice the x-axis.
Step-by-step explanation:
1. If the right hand side of the equation ......... (1) becomes same as the left hand side by putting x = - 3, then only we can conclude that x = - 3 is a root of the equation.
But in this case .
Therefore, x = - 3 is not a root of the above equation (1).
2. The equation of the polynomial with roots 3, -1, 2i, and -2i is
(x - 3) (x + 1) (x - 2i) (x + 2i) = 0
⇒ (x - 3) (x + 1) (x² + 4) = 0 (Answer)
Therefore, the graph of the above curve will intersect twice the x-axis in a real coordinate plane, at x = 3 and at x = -1. (Answer)
The answer is B! Hope it helps
<h2>The solution is (x, y) = (-3, -1)</h2>
<em><u>Solution:</u></em>
<em><u>Given, system of equations are:</u></em>
-3 - x = 0 --------- eqn 1
-3y = -3 - 2x -------- eqn 2
From eqn 1,
- 3 - x = 0
<h3>x = -3</h3>
<em><u>Substitute x = -3 in eqn 2</u></em>
-3y = - 3 - 2(-3)
-3y = -3 + 6
-3y = 3
<h3>y = -1</h3>
Thus the solution is (x, y) = (-3, -1)
Answer:
2 cups of apple juice
Step-by-step explanation:
In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times
1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups