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3 years ago

25x^2+40x+16=28Ansa ASAP

1 answer:

8 0

Solution:
1. Move all terms to one side
25{x}^{2}+40x+16-28=0 2. Simplify 25{x}^{2}+40x+16-28 to 25x2+40x−12
25{x}^{2}+40x-12=0 3. Apply the Quadratic Formulax=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}

 4. Simplify solutions
x=-\frac{2(2-\sqrt{7})}{5},-\frac{2(2+\sqrt{7})}{5} Done!

You might be interested in

Are all sides of the right angle have sides that are parallel

nydimaria [60]

-- The two sides of a right angle intersect and make the angle.
So do the sides of any other angle. So they can't be parallel.

-- No two sides of a right triangle ... or any other triangle ...can be parallel.

8 0

3 years ago

39*10*100*1,000*0+37???? HELPPP

FromTheMoon [43]

Answer:

Step-by-step explanation:

Anything multiplied by 0 is 0 then you just add the 37

5 0

2 years ago

What is the slope of a line perpendicular to the line whose equation is 2x+2y=28

malfutka [58]

Answer:

Step-by-step explanation:

1) First, place the given equation in slope-intercept form ( $y = mx +b$ format) to find its slope easier. Isolate the y:

$2x + 2y = 28\\2y = -2x + 28\\y = -x+14$

So, the equation of the line in slope-intercept form is $y = -x + 14$ . When an equation is in slope-intercept form, the $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as $-\frac{1}{1}$ -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.

3 0

2 years ago

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

3 years ago

S=L (1 - r), for r

maria [59]

OK. Then let's solve for ' r '. That means you have to come up with an equation that says r = everything else.

Step #1:
Write the equation you're given: S = L (1 - r)

Let's divide each side by ' L ': S/L = 1 - r

Subtract 1 from each side : S/L - 1 = -r

Multiply each side by -1 :  1 - S/L = r

and there you have it.

3 0

3 years ago