What are the roots of this equation x^2-2x+3=0

Answer:

The answer is the second option. x = -5.873 , x = 1.873

Step-by-step explanation:

1. add 11 to both sides of the equation

x^2 + 4x = 11

2. find a value that is equal to the square of half of b

(b/2)^2 = (2)^2

3. add the term to each side of the equation

x^2 + 4x + (2)^2 = 11 + (2)^2

4. simplify the equation

x^2 + 4x + 4 = 15

5. factor the perfect trinomial square into

(x + 2)^2 • (x + 2)^2 = 15

6. solve the equation for x

x = 1.873 , x = -5.873

HOPE THIS HELPS!!

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Answer: The brown family started out with 17 pairs of shoes. (11 + 6)

p - 6 = 11 (I would say this is the equation)

Step-by-step explanation:

You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17

Answer: They started out with 17 and the equation was p - 6 = 11

Step-by-step explanation:

Answer:

y=-3

Hope this helps!

Answer:

(d). 56°

Step-by-step explanation:

cos x° = [tex]\frac{5}{9}[/tex]

x° = [tex]cos^{-1}[/tex] [tex]\frac{5}{9}[/tex]

x° ≈ 56.25° ≈ 56°

Answer:

36

Step-by-step explanation:

Answer:

its 48

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no

Answer:

117.3

Step-by-step explanation:

7*4=117.29=117.3

Answer:

no

Step-by-step explanation:

32+33=65

Answer:

A. 30 two-point questions and 10 four-point questions

Step-by-step explanation:

30 multiplied by 2 equals 60

10 multiplied by 4 equals 40

60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.

30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.

Answer:

h=18.68

Step-by-step explanation:

V=( [tex]\pi[/tex] h r² )/ 3

h = 3V / r²·[tex]\pi[/tex] = 18.68

Answer:

V=3,14×6

=18,68

A.16,68 feet

Answer:

105

Step-by-step explanation:

15x=7x+6+7x+1

15x=14x+7

x=7

15(7)=105

Answer:

its s and d

Step-by-step explanation:

Answer:

Step-by-step explanation:140

Answer:

6 2/3

Step-by-step explanation:

Fabric left on the roll = total fabric on the roll - fabric cut from the roll

9 - [tex]2\frac{1}{3}[/tex] = 6[tex]\frac{2}{3}[/tex]

Answer:

Option A

Step-by-step explanation:

100% sure

Answer:

I would think it A

Step-by-step explanation:

Answer:

y= 0.007x- 4.945

The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.

Step-by-step explanation:

Weight                   Miles              

(pounds), x    per Gallon,   y             xy

3773                       17                     64,141

3793                       16                     60,688    

2706                      25                    67,650

3645                       20                  72,900

3308                         22                 72,776

2908                        24                   69,792

3675                         17                    62,745  

2687                        24                   64,488

3522                        18                     63,396

3827                        16                      61,232

∑y²=4075; ∑y=199;    ∑x²= 116,406,174 ; ∑x=33,844 ;  ∑xy=659,808

b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²

b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336

b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336

b=136,876/18,645,404

b= 0.007341

a= Y`- bX`

a= 19.9- (0.007341) (3384.4)

a= 19.9 -24.845

a=-4.945

Y^= -4.945+ ( 0.007341) X

y= 0.007x- 4.945

Putting the values

y= 0.007x- 4.945

18 = 0.007(3511) - 4.945

18< 20.829

​The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.

Answer:

A line with a slope of 0 is horizontal, while a line with no slope is completely vertical.

Step-by-step explanation:

If Taylor is producing graphic T-shirts that will come in three different colors then about 275 graphic T-shirts should be white.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Since Taylor randomly surveyed 100 people and 55 of them said they prefer the white T-shirt

we can estimate the proportion of people who prefer the white T-shirt as:

p = 55/100 = 0.55

We can assume that this proportion is a good estimate of the true proportion of people who will prefer the white T-shirt among all potential customers.

To estimate the number of people who will prefer the white T-shirt among 500 potential customers

The formula for the expected value of a binomial random variable is

E(x) = np

Substituting the values, we get:

E(x) = 500 × 0.55 = 275

Therefore, about 275 graphic T-shirts should be white.

To learn more on Statistics click:

https://brainly.com/question/30218856

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Answer:

Volume = ½x³ units.

Step-by-step explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

Answer:

3= 60 degrees

Step-by-step explanation:

Triangle= 180 degrees

60 degrees + 60 degrees = 120 degrees

180 degrees - 120 degrees = 60 degrees

Answer:

x=14

Step-by-step explanation:

complementary=90 degrees

4x+2x+6=90

6x=84

x=14

Answer:

The answer will be A

As 75 - 12 should be equal to 9x

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Answer:

256

Step-by-step explanation:

1 oz will produce 4 bags each one with 1/4 of an ounce

64 oz will produce x

1/64 = 4/x              Cross multiply

x*1 = 64 * 4

x = 256  bags.

He will get 256 quarter ounce bags.

The ratio 64:18 can be expressed in its simplest form as 32:9

Data;

Ratio of a value is a relationship between two or more values indicating the number of times a value is present in the other.

To find the smallest ratio between 64:18, all we have to do is simply divide them to the smallest possible value

[tex]64:18=\frac{64}{18} =\frac{32}{9}[/tex]

The ratio 64:18 can be expressed in its simplest form as 32:9

Learn more on ratio here;

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