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Harman [31]
2 years ago
5

Solve (v-2)^2-27=0 where v is a real number. simplify your answer as much as possible

Mathematics
2 answers:
seropon [69]2 years ago
7 0

Answer:

v = 2 ± 3 sqrt(3)

Step-by-step explanation:

(v-2)^2-27=0

add 27 to each side

(v-2)^2-27+27=0+27

(v-2)^2 = 27

take the square root of each side , remember to take the  positive and negative

sqrt((v-2)^2)   = ± sqrt27

v-2 =  ± sqrt27

add 2 to each side

v-2+2 = 2 ± sqrt27

v = 2 ± sqrt27

we can simplify the square root of 27

sqrt(27) = sqrt(9) * sqrt(3)

sqrt(27) = 3sqrt(3)

v = 2 ± 3 sqrt(3)


sukhopar [10]2 years ago
4 0
<h2>Steps:</h2>

So firstly, add both sides by 27:

(v-2)^2=27

Next, square root both sides of the equation:

v-2=\pm \sqrt{27}

Now, we are going to simplify the radical. To do this, we will apply the product rule of radicals which states that \sqrt{ab}=\sqrt{a}*\sqrt{b} . In this case:

\sqrt{27}=\sqrt{9}*\sqrt{3}=3\sqrt{3}\\\\v-2=\pm\ 3\sqrt{3}

Lastly, add both sides by 2:

v=2\pm 3\sqrt{3}

<h2>Answer:</h2>

<u>In exact form, your answer is v=2\pm 3\sqrt{3}</u>

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Answer:

It was approximately a 9% decrease. (If you need to round to the nearest tenth, 9.1. If you need to round to the nearest hundredth, 9.10).

Step-by-step explanation:

I am going to assume that the question means that Andrea could have earned 220 points on the assignment, but instead because the assignment was late, she was marked down 20 points. (Reduced to 20 points is kind of awkward wording).

Given that, 20 divided by 220 comes out to 0.0909 repeating.

0.09, as a percentage, is 9%. (Again, 0.0909, 9.09%, could be rounded up to 9.1%).

Hope this helps!

7 0
2 years ago
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butalik [34]

\frac{x}{x + 4}=\frac{3}{x - 1} \\3(x+4) = x(x-1)\\3x+12 =x^2-x\\0=x^2-4x-12\\0=(x-6)(x+2)\\X= 6, -2


Steps:

First we cross multiply

Then Distribute,

Then move all terms to one side

Factor

Set each factor equal to zero

6 0
2 years ago
ONLY ANSWER IF YOU HAVE THE ANSWER P L E A S E
Nadusha1986 [10]

Answer:

Linear: greater than 2011

Quadratic: lesser than 2011

Cubic: lesser than 2011

Step-by-step explanation:

At x = 2

Linear regression equation:

y = -6777.54(2) + 110001.04

y = 96445.96

More than 2011

Quadratic: y = -251.10(2)² - 2760.02(2) + 98618.06

y = 92093.62

lesser than 2011

Cubic: y = -6.23(2)² - 101.67(2)² - 3747.49(2) + 100142.23

y = 92190.73

lesser than 2011

3 0
2 years ago
Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who ha
Stolb23 [73]

In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.

The missing table is given below.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Shawn is collecting money from students at his school for a charity.

The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.

Since 30 is 1/3 of 90, we know the ratio is 1:3.

In order of blank boxes going from left to right then down

1, 9, 5, 75, 35

The complete table is attached below.

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

3 0
1 year ago
118<br> 154<br> 131<br> 112<br> solve for x
Sophie [7]

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

7 0
3 years ago
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