Mathematics, 20.09.2020 06:01 ddmoorehouseov75lc

Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.

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Answer from: xxhighwolfxx7508

$\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365$

Step-by-step explanation:

We are given the equation:

-2x^2-6x+3=0

And we want to solve it using the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

First, let's identify our coefficients.

The a is the coefficient in front of the x² term, so a = -2.

b is the coefficient in from of the x term, so b = -6.

And c is the constant so c = 3.

Substitute:

$\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}$

Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:

$\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}$

Add:

$\displaystyle x=\frac{6\pm \sqrt{60}}{-4}$

Simplify the square root:

$\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}$

So:

$\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}$

Simplify by dividing everything by 2:

$\displaystyle x=\frac{3\pm \sqrt{15}}{-2}$

Move the negative in the denominator to the numerator. The plus/minus sign will not change.

$\displaystyle x=\frac{-3\pm \sqrt{15}}{2}$

So, our zeros are:

$\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365$

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

9.8? i'm not really sure

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Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the...