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3 years ago

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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Al Shea is the sole owner and operator of Saw Tooth Company. At the end of its accounting period, December 31, 2005, SawTooth Co

Liono4ka [1.6K]

Answer:

amount of net income during 2006 is $65000

Step-by-step explanation:

Given data

assets in 2005 = $925,000

liabilities in 2005 = $285,000

invested an additional $50,000

withdrew $30,000

assets in 2006= $980,000

and liabilities in 2006 = $225,000?

to find out

amount of net income during 2006

solution

in 2005

assets = $925,000

liabilities = $285,000

so stock holder equity = $640000

and in 2006

assets = $980,000

and liabilities = $225,000

so stock holder equity = $725000

so retaining earning for both year is $725000 - $640000 i.e $85000

so net income = retaining earning + withdrew - investment

net income = $85000 + $30,000 - $50,000

net income = $65000

amount of net income during 2006 is $65000

7 0

3 years ago

mixer [17]

D i'm only typing this because it's gotta be 20 characters

6 0

3 years ago

2/5 of a number is what percentage of that number?

Contact [7]

Answer:

40%

Step-by-step explanation:

4 0

2 years ago

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The AAA system contains 3 independent components in parallel, each with probability of failure 0.4. Find the expected number of

Gre4nikov [31]

Answer:

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not. The components are independent. We want to know how many outcomes until r failures. The expected value is given by

$E = \frac{r}{p}$

In which r is the number of failures we want and p is the probability of a failure.

In this problem, we have that:

r = 1 because we want the first failed unit.

$p = 0.4[\tex]So[tex]E = \frac{r}{p} = \frac{1}{0.4} = 2.5$

The expected number of systems inspected until the first failed unit is 2.5

8 0

3 years ago

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Solnce55 [7]

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The equation in slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept.

Finding Slope:

The both equations given are parallel. So, they have same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation $y=mx+b$ where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept

Using slope m = -2/3 and point (-3,5) we can find y-intercept

$y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3$

So, we get b = 3

Now, the equation of required line:

having slope m = -2/3 and y-intercept b =3

$y=mx+b\\y=-\frac{2}{3}x+3$

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is $\mathbf{y=-\frac{2}{3}x+3 }$

5 0

2 years ago

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