What are all the names that apply to the number 3/8

ANSWER: 1.211 or 13.211

Step-by-step explanation:

STEP

1

:

1.1     Evaluate :  (x-6)2   =    x2-12x+36  

Trying to factor by splitting the middle term

1.2     Factoring  x2-12x-16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -12 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 - 12x - 16  = 0  

STEP

2

:

Parabola, Finding the Vertex

2.1      Find the Vertex of   y = x2-12x-16

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 - 16.0

or   y = -52.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x-16

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-52.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-1.21, 0.00}  

Root 2 at  {x,y} = {13.21, 0.00}  

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-12x-16 = 0 by Completing The Square .

Add  16  to both side of the equation :

  x2-12x = 16

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  16  +  36    or,  (16/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (16/1)+(36/1)  gives  52/1  

 So adding to both sides we finally get :

  x2-12x+36 = 52

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 52 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 52

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-6 = √ 52

Add  6  to both sides to obtain:

  x = 6 + √ 52

Since a square root has two values, one positive and the other negative

  x2 - 12x - 16 = 0

  has two solutions:

 x = 6 + √ 52

  or

 x = 6 - √ 52

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-12x-16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -12

                     C   =  -16

Accordingly,  B2  -  4AC   =

                    144 - (-64) =

                    208

Applying the quadratic formula :

              12 ± √ 208

  x  =    ——————

                     2

Can  √ 208 be simplified ?

Yes!   The prime factorization of  208   is

  2•2•2•2•13  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 208   =  √ 2•2•2•2•13   =2•2•√ 13   =

               ±  4 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          x  =  ( 12 ± 4 •  3.606 ) / 2

Two real solutions:

x =(12+√208)/2=6+2√ 13 = 13.211

or:

x =(12-√208)/2=6-2√ 13 = -1.211

Answer: X=root of14 -6; x = -root of14 -6

Explanation: Symbolab.com

Answer:

3.72 x 100000000= 372000000

1.2 x 100000 = 120000

Step-by-step explanation:

idek

If the 50 trucks represent the 5 in the ratio 5:12, then there are 120 cars.

Answer:

The correct solution will be "32.22%".

Step-by-step explanation:

The given values are:

X = 612

n = 1899

As we know,

⇒  [tex]P=\frac{X}{n}[/tex]

On substituting the above values, we get

⇒      [tex]=\frac{612}{1899}[/tex]

⇒      [tex]=0.3222[/tex]

So that the chance of false positive will be "32.22%".

Answer:

7 hours

Step-by-step explanation:

9 x 7 = 63

Answer:

Step-by-step explanation:

B

These two triangles are similar then the ratio of their corresponding sides will remain constant. Then the value of h is 65.33 units.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A man places a mirror on the ground and sees the reflection on the top of a flagpole as shown in the figure below.

The two triangles in the figure are similar.

Note that the two triangles are proportional to one another. ​a = 3, b = 7, c = 28

If both triangles are similar then the ratio of their corresponding sides will remain constant.

Then we have

[tex]\rm \dfrac{h}{b} = \dfrac{c}{a}\\\\h \ = b \times \dfrac{c}{a}\\\\h\ = 7 \times \dfrac{28}{3}\\\\h \ = 65.33[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

-12x^2 + 30x

Step-by-step explanation:

-6x(2x-5)

(-6x * 2x)

-12x^2

(-6x * -5)

30x

Answer:

0.125. sorry if it's wrong. (Disclaimer: Math is not my best subject :) )

Step-by-step explanation:

5/4÷10 on a calculator

Answer:

$150

Step-by-step explanation:

The price does not change for children and adults. They bought 30 tickets total since 17 + 13 = 30. 30*5 = 150. So they spent $150.

Answer:

225 miles I think

Step-by-step explanation:

75x3=225

tl;dr: Andrea traveled 3 [tex]\frac{3}{4}[/tex] miles.

Hello!

To solve the problem, we need to understand what it means. The distance traveled in miles is represented with t, while the number of minutes is represented with m.

Now, first we need to fill in the equation with the information we're given.

t = 3m  → t = 3(1 [tex]\frac{1}{4}[/tex])

Now, we solve for t.

t = 3(1 [tex]\frac{1}{4}[/tex])  → t = 3 [tex]\frac{3}{4}[/tex]

Andrea traveled 3 [tex]\frac{3}{4}[/tex] in an hour and 15 minutes.

Hope this was helpful. Have a great day! (★‿★)

Answer:

The Answer Is 4 - 5x

Step-by-step explanation:

[3, 17): у 2 — 5х + 2

у = -3х + 7

Simplify=

4 - 5x

Hope This Helps

Answer:

2x3 - 3x2 - 4x + 15

 ———————————————————

        x + 3      

Answer:

A line supplementary to AOD is AOC.

A line adjacent and congruent to AOE is COE (I think)

A line supplementary to EOA is EOC

A line complimentary to EOD is DOC

DOC and AOB are vertical angles.

Step-by-step explanation:

I think all of those are correct.

Answer:

Step-by-step explanation:

1. The slope is 12

2. (6 - 2)/(12+4)= 4/16= 1/4

y - 2 = 1/4(x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 3

Answer: $56

Step-by-step explanation:

Each day he feed them 4 fish food containers. How many days is a week 7. So 7x4 is 28. All we have left over is $2.00

so we just multiply 28x2. That sums up to $56!

Answer:

x = 10

Step-by-step explanation:

3x/2 = 15

cross multiply

3x = 15 × 2

3x = 30

divide both sides by the coefficient of x

3x/3 = 30/3

x = 10

Answer:

1 answer to your question

Answer:

Step-by-step explanation:

The square of 2, -2 is 4. square of 3, -3 is 9. so square root of 7 has to be less than 3 but more than 2. therefore the integers are either 2 and 3 or -3 and -2.

Answer:

2 and 3

Step-by-step explanation:

[tex]\sqrt{7}[/tex]= 2.645....

Hope this helps. Please give me brainliest.

Answer:

2x2 sidhuedfhjxiijsejskfjks

Step-by-step explanation:

Answer:

................................................................................................................................

.Step-by-step explanation:

................................................................................................................................

Answer:

x=25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

which is the result of the transformation of the function g(x)= 5^x

We can see that

This is indicating horizontal shift 2 unit to the right and vertical shift 4 units down

Correct answer option is e)

Answer:

4

It is right on edge

Answer:

the complex numbers have opposite real parts

Step-by-step explanation:

just took it on edge;)

Answer:

Reflect over the x-axis.

Step-by-step explanation:

Assuming you meant 2x^2+3, putting a negative sign in front of the x value flips the graph over the x-axis.

Answer: A

Step-by-step explanation:

You start with -4x to get the 10y by itself

Answer:

[tex]w(-3) = 12[/tex]

Step-by-step explanation:

Plug in -3 for n in the equation:

[tex]w(n) = n^2 - n[/tex]

[tex]w(-3) = (-3)^{2} - (-3)[/tex]

Simplify. Remember to follow PEMDAS. First, solve the power:

[tex]w (-3) = (-3)^2 - (-3)\\w (-3) = (-3 * -3) - (-3)\\w (-3) = (9) - (-3)[/tex]

Next, combine like terms. Note that if there are two negative signs directly next to each other, it becomes a positive sign. Add:

[tex]w(-3) = 9 - (-3)\\w(-3) = 9 + 3\\w(-3) = 12[/tex]

Your answer: [tex]w(-3) = 12[/tex]

Answer:

She will need 52.5 table spoons of sugar

Step-by-step explanation:

2:15= 1:7.5

7tbs*1=7tbs of milk

7tbs*7.5=52.5tbs of sugar

Answer:

52.5

If you multiply the tbs of milk to the tbsp of sugar, then you will get 52.7!: )

Step-by-step explanation:

HOPE THIS HELPS~ :)

BRAINLIEST?

x intercept is -2.25 and y intercept is 3.6

Answer:

A) The critical value found is 5.99 which is < the test statistic value ( 6.94 ) hence we will reject the null hypothesis (H₀)

The P-value associated is : 0.031 which is < 0.05 ( level of significance )

B) from the calculation it can be sen that employees of small companies are more likely without health insurance

Step-by-step explanation:

A) To conduct a test of independence

we apply the hypothesis test

Null hypothesis (H₀) = The health insurance coverage is independent of the size of the company

Alternative hypothesis (H₁)  = The health insurance coverage is not independent of the size of the company

The test statistic is calculated  as attached below

also the expected values are attached below indicating the formula used

E = expected value

O = observed value

Test statistic value ( as calculated ) = 6.94

The critical value found is 5.99 which is < the test statistic value ( 6.94 ) hence we will reject the null hypothesis (H₀)

The P-value associated is : 0.031 which is < 0.05 ( level of significance )

B) percentage of employees without health insurance

Small company : 14/50 * 100 = 28%

medium company: 10/75 * 100 = 13%

large company : 12/100 * 100 = 12%

from the above calculation it can be sen that employees of small companies are more likely without health insurance

Answer:

m = y2 - y1 / x2 - x1     -8 - (-5)/1-3

                                   -8 +5/1-3

                                   -3/-2

slope is 1 1/2        

Step-by-step explanation:

Hope this helps :)