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3 years ago

Which shows the unsimplified solution for x^2 + 8x + 6 = 0?

Mathematics

1 answer:

irinina [24]3 years ago

6 0

$x^{2} + 8x + 6 = 0 \\x = \frac{-(8) +/- \sqrt{(8)^{2} - 4(1)(6)}}{2(1)} \\x = \frac{-8 +/- \sqrt{64 - 24}}{2} \\x = \frac{-8 +/- \sqrt{40}}{2} \\x = \frac{-8 +/- 2\sqrt{10}}{2} \\x = -4 +/- \sqrt{10}$
$x = -4 + \sqrt{10}$ $x = -4 - \sqrt{10}$

It is equal to D.

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complete your work on a separate sheet of paper after you answer the question unlock your work to the Box

charle [14.2K]

okay so the first step in finding the answer is to see what the formula is to determine the area of a rectangle.

do you know the formula?

okay so the formula is A = L * W

where the L stands for length

and the W stands for Width

so based on the picture can you determine what the length and width are?

where are you having issues with that?

yes that is correct!

don't second guess yourself

so the length is 2 2/3 and the width is 3/4

now the easiest way to solve this problem is to convert the fractions into decimals

are you allowed to use a calculator?

okay so then lets try to convert these fractions into whole numbers

do you know how to convert fractions into whole numbers?

okay so worries

so do that we would have to Divide the numerator by the denominator, only if the numerator is a multiple of the denominator.

so for the width, is 4 a multiple of 3?

no it is not

so out only method would be to convert it into a decimal

do you know what 3/4 is in decimal form?

it is .75 because if you have 4 quarters which equal .25 then 3 quarters equal 75

now we move onto the length 2 2/3

now we already have 2 as a whole number and we can convert 2/3 into a decimal

so we basically do 3 /2

3 does not go into 2 so we put a decimal so it is 0.

then we see how many times 3 goes into 20

how many times does 3 go into 20?

no it is 6 times, because 3*6 = 18

so now we have 0.6

and we bring down the reminder

so we have 3/20

and we have a repeating decimal so our answer is

2/3 = 0.66666

so if we add the whole number we have 2.6666

so now we can plug that into the equation

A = L * W

A = 0.75 * 2.6666

Are you with me so far?

do you have any questions?

great now we just multiple 2.66 * 0.75

can you do that and tell me what you get?

AWESOME!

Now we can round that to the closest number

what is that?

do you know what 1.995 to the closest whole is?

GREAT!

so your answer is

0.75 * 2.66 = 2

ANY QUESTIONS?

Do you know the formula for the perimeter of a rectangle?

P = 2( L + W)

so from the information that we already have, can you plug in the numbers for me?

close, try again

and this time for it in fromula form

use the formula that I have provided for you

so can you tell me the formula for the perimeter of a rectangle?

great

so P is the value we are looking for and the rest is the formula

can you now try to plug in the numbers into the formula

starting with P =

GREAT!

now don't forget the parentheses

so try one last time

Awesome!

So now according to the laws of PEMDAS what would be our first step into solving this equation?

where did you get 3.41 from?

yes

so 2.66 + 0.75 = 3.41

now we have P = 2 (3.41)

so we now multiple 3.41 * 2

what do you get when you do that?

great job!

so now we know P = 6.82

and those are your two answers

A = 2

P = 6.82

do you have any questions?

7 0

1 year ago

Is this problem convergent or divergent?

Svetllana [295]

Answer:

Its divergent

Step-by-step explanation:

HOPE YOU LIKED IT

6 0

2 years ago

A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed below. The values are matc

swat32

Answer:

Step-by-step explanation:

Systolic. Calculate the mean

118+128+158+96+156+122+116+136+126+120+

=1276÷10 = 127.6.

To calculate the median arrange the values from the lowest to the highest.

96,116,118,120,122,126,128,136,156,158.

122+126+2=124.

Disastolic

80+76+74+52+90+88+58+64+72+82= 736÷10=73.6

To calculate the median arrange the values from the lowest to the highest.

52,58,64,72,74,76,80,82,88,90

Median= 74+76=150÷2=75.

Comparison

The Systolic and diastolic blood pressure measures different things, so comparing them is of no use.

It will be good if the relationship between the blood pressure can be investigated because the data are in pairs.

8 0

3 years ago

Vacation Property Rentals purchased 50 television sets for their rental units at a cost of $250 per television. The televisions

Alex787 [66]

Under A straight line basis which is a method of computing depreciation and amortization by dividing the difference between an asset's cost and its expected salvage value by the number of years it is expected to be used. Also known as straight line depreciation or straight line amortization, this is the simplest depreciation method. But instead of that find The rate of depreciation
100/5 years=20% depreciation rate per year
Total cost 250×50=12,500
Salvage value 40×50=2,000
Subtract the salvage value from the total cost of televisions
12,500−2,000=10,500
In the first year the depreciation is
10,500×0.2=2,100
Book value
12,500−2,100=10,400
In the second year the depreciation is
10,500×0.2=2,100
Book value
10,400−2,100=8,300
In the third year the depreciation is
10500×0.2=2100
Book value
8300-2100=6200

the book value for all of the televisions at the end of the third year is 6200

8 0

3 years ago

3 . Log² x + 5 . Log x - 2 ≤ 0 3 3

san4es73 [151]

It's not always easy to type in mathematical symbols, but you may need to try again here. It is unlikely that your problem actually states
2
Log x. Perhaps you meant Log x.
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Double-check to ensure that you have entered this problem correctly. Also, please include the instructions for this problem. Explain what that "3 3" means.

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3 years ago