Probability of green die being even: 3/6, which simplifies to 1/2 (2, 4, 6 are even and 1, 3, 5 are odd)
Probability of blue die being even: 3/6, which simplifies to 1/2.
Compound probability:
1/2* 1/2= 1/4
Final answer: 1/4
B) y = -2x
when x = a
y = -2a
when x= 2a
y = -2(2a) = -4a
Answer:
The answer is ±3i
Step-by-step explanation:
Can be Rewritten as:
±(√-1 × √9) where √-1 = i and √9=3
Therefore Answer is ±3i
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
![\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-b%20%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
![\rm x = \dfrac{-4 \pm\sqrt{4^2-4(1)(-6)}}{2(1)}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-4%20%5Cpm%5Csqrt%7B4%5E2-4%281%29%28-6%29%7D%7D%7B2%281%29%7D)
After calculating:
![\rm x = \dfrac{-4 \pm\sqrt{40}}{2}](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B-4%20%5Cpm%5Csqrt%7B40%7D%7D%7B2%7D)
![\rm x=-2+\sqrt{10},\ \ \ or \ \ \ x=-2-\sqrt{10}](https://tex.z-dn.net/?f=%5Crm%20x%3D-2%2B%5Csqrt%7B10%7D%2C%5C%20%5C%20%5C%20or%20%5C%20%5C%20%5C%20x%3D-2-%5Csqrt%7B10%7D)
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
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F(-1) = -11
f(0) = -9
f(3) = -3