Use the quadratic formula to determine the exact solutions to the equation 6x^2 + 4x - 3 = 0

1 answer:

5 0

To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:

$x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}.$ <span><span>

Plugging it in, we get:

</span></span> $\frac{-4\pm \sqrt{16+72} }{12} = \frac{-4\pm 2\sqrt{22}}{12} = \frac{-2\pm \sqrt{22} }{6}$

So the final answer is:

$\frac{ \sqrt{22}-2 }{6}$ and $\frac{-2- \sqrt{22} }{6}$

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at a high school movie night, the refreshment stand sells popcorm and soft drinks. Of the 100 students who came to the movie, 62

horrorfan [7]

Answer:

The probability that a student buys a drink is 0.47

Step-by-step explanation:

The probability that a student buys a drink will be given by;

( the number of students who bought a drink)/(the total number of students)

We are told that;

Of the 100 students who came to the movie, 62 bought popcorn and 47 bought a drink. Therefore, the required probability is;

47/100= 0.47

3 0

2 years ago

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reach

sukhopar [10]

Answer:

The required equation is:

$y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4$

Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)

We know that the vertex of the parabola y = ax² + bx + c is at

$x =\frac{-b}{2a}$