Which of the following options best describes the solution process and solution(s) for the quadratic equation? -2x2 + 3x + 4 = 7

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

Step-by-step explanation:

If there are options, please share them.

Subtract 7 from both sides. We obtain: -2x^2 + 3x - 3. The coefficients of this quadratic are a = -2, b = 3 and c = -3. Thus, the discriminant is

b^2 - 4ac, or 3^2 - 4(-2)(-3), or 9 - 24, or -15. Because the discriminant is negative, this quadratic has two complex roots which differ:

-3 ± i√15

x = -----------------

-4

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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

an experiment consists of flipping a fair coin 4 times. What is the probability of obtaining at least one head?

Dvinal [7]

$\mathbb P(X\ge1)=1-\mathbb P(X=0)$

The probability of getting 0 heads in 4 tosses (or equivalently, 4 tails) is $\dfrac1{2^4}=\dfrac1{16}$ .

So the desired probability is

$1-\dfrac1{16}=\dfrac{15}{16}$