20 lb >, < , =304 OZ

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= [tex]\frac{x_1+x_2}{2}[/tex]

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

= [tex]\frac{5}{2}[/tex]

= [tex]2.5[/tex]

The midpoint on Y-axis is:

= [tex]\frac{y_1+y_2}{2}[/tex]

= [tex]\frac{5+(-3)}{2}[/tex]

= [tex]\frac{5-3}{2}[/tex]

= [tex]\frac{2}{2}[/tex]

= [tex]1[/tex]

Thus the midpoint of AB is "2.5, 1".

Answer:

okay!

Step-by-step explanation:

its B

Answer:

C)

Step-by-step explanation:

we eliminate these two options

because remember quadratic function standard form

[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]

recall that, if

but a is positive so it won't flip upside down therefore,

these two are our answer

it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:

it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so

likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so

hence our answer is C

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

Answer:

20(x+15)(x+10)

Step-by-step explanation:

Hi there!

As your question states, we need to fully factor the polynomial: 20x²+500x+3000

These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor

the GCF is 20

so factoring 20 out of the polynomial will get:

20(x²+25x+150)

As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.

Now use FOIL to factor x²+25x+150 into 2 binomials

25 is the sum of the last terms

150 is the product of the last terms

think: which two numbers add up to 25 but multiply to get 150?

those two numbers are 15 and 10

x²+25x+150 factored is (x+15)(x+10)

but remember we have the 20 in front of x²+25x+150  (or now, (x+15)(x+10))

therefore the fully factored binomial is 20(x+15)(x+10)

Hope this helps! :)

Answer:

118.0 in^3

Step-by-step explanation:

Answer:

x= -22

Step-by-step explanation:

3x=5x+44

subtract 2x from both sides and leave only x on one side 3x(-2x)=5x(-2x)+44

then you get

x=3x+44

then you subtract the 3x to both sides

x(-3x)=3x(-3x)+44

then you get

-2x=44

and divide 2 on each side so-

x= -22

Answer:

It's D on EDGE

Step-by-step explanation:

The compliment of the set S is {x|x is a rational non-integer}

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the universal set be represented as U

where the value of U is

U = {x|x is a rational numbers}

And , let the second set be represented as S,

where S = {x|x is an integer}

Now , the compliment of set S is given by = S'

And , S' = 1 - S

On simplifying , we get

S' = 1 - {x|x is an integer} and it belongs to U

So , S' = {x|x is a rational non-integer}

Hence , the set is S' = {x|x is a rational non-integer}

To learn more about union and intersection of sets click :

https://brainly.com/question/28278437

#SPJ7

Answer:

Six multipled by four to get how many girls and boy he will sayhrllo to.

Answer:

20 times 3, do the math and you get

Answer:

60

Step-by-step explanation:

20x3=60 ............

Answer:

Where's the picture?

Answer:

look at the picture i have sent

Answer:

Answer:

Solution given:

135=<2+86

<2=135°-86=49°[ exterior angle is equal to the sum of the opposite Interior angle of a triangle]

Answer:

[tex]P(x<3.12)= 0.21186[/tex]

Step-by-step explanation:

Mean [tex]\=x=\$3.20[/tex]

Standard deviation [tex]\sigma =\$0.10[/tex]

Estimated price [tex]y=\$3.12[/tex]

Generally the equation for P(x<3.12) is mathematically given by

 [tex]P(x<3.12)=P(\frac{y-x}{\sigma}<-\frac{3.12-3.20}{0.10})[/tex]

 [tex]P(x<3.12)=(z<-0.8)[/tex]

Since from Z table

 [tex]P(x<3.12)= 0.21186[/tex]

Therefore the  proportion of the milk vendors that have prices that were less than $3.12 per gallon is

 [tex]P(x<3.12)= 0.21186[/tex]

Answer:

[tex]\frac{1}{8}[/tex] or [tex]\frac{9}{78}[/tex]

(see explanation)

Step-by-step explanation:

This problem is asking about compound probability, what is the probability of this even happening three times in a row.

Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply ([tex]\frac{1}{2}[/tex]) by itself (3) times,

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}[/tex]

In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.

[tex](\frac{1}{2})(\frac{19}{39})(\frac{18}{38})[/tex]

Simplify,

[tex](\frac{1}{2})(\frac{19}{39})(\frac{9}{19})[/tex]

[tex]\frac{9}{78}[/tex]

Answer: 224

Step-by-step explanation:

The total degrees of a 7-sided shape is 900. You can find that out using the equation (n-2) times 180. Where n is the number of sides. If you add up all the interior angles they equal 676. Then just subtract 676 from 900. 900-676= 224 degrees. That is the missing interior angle.

Answer:

3400 milliliters

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

interior angles add up to 180

Answer:

923.92

Step-by-step explanation:

11,199 x .0825 = 923.92

Answer:

Ratio is 12:27  ratio as a fraction is 12 over 27

Step-by-step explanation:

no need for explaination lolz

Answer:

STEP

1

:

Equation at the end of step 1

 (32x2 -  8x) -  2  = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  9x2-8x-2

The first term is,  9x2  its coefficient is  9 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   9 • -2 = -18

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -8 .

     -18    +    1    =    -17

     -9    +    2    =    -7

     -6    +    3    =    -3

     -3    +    6    =    3

     -2    +    9    =    7

     -1    +    18    =    17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

 9x2 - 8x - 2  = 0

STEP

3

:

Parabola, Finding the Vertex:

3.1      Find the Vertex of   y = 9x2-8x-2

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, 9 , 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   0.4444  

Plugging into the parabola formula   0.4444  for  x  we can calculate the  y -coordinate :

 y = 9.0 * 0.44 * 0.44 - 8.0 * 0.44 - 2.0

or   y = -3.778

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = 9x2-8x-2

Axis of Symmetry (dashed)  {x}={ 0.44}

Vertex at  {x,y} = { 0.44,-3.78}

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-0.20, 0.00}

Root 2 at  {x,y} = { 1.09, 0.00}

Solve Quadratic Equation by Completing The Square

3.2     Solving   9x2-8x-2 = 0 by Completing The Square .

Divide both sides of the equation by  9  to have 1 as the coefficient of the first term :

  x2-(8/9)x-(2/9) = 0

Add  2/9  to both side of the equation :

  x2-(8/9)x = 2/9

Now the clever bit: Take the coefficient of  x , which is  8/9 , divide by two, giving  4/9 , and finally square it giving  16/81

Add  16/81  to both sides of the equation :

 On the right hand side we have :

  2/9  +  16/81   The common denominator of the two fractions is  81   Adding  (18/81)+(16/81)  gives  34/81

 So adding to both sides we finally get :

  x2-(8/9)x+(16/81) = 34/81

Adding  16/81  has completed the left hand side into a perfect square :

  x2-(8/9)x+(16/81)  =

  (x-(4/9)) • (x-(4/9))  =

 (x-(4/9))2

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

  x2-(8/9)x+(16/81) = 34/81 and

  x2-(8/9)x+(16/81) = (x-(4/9))2

then, according to the law of transitivity,

  (x-(4/9))2 = 34/81

We'll refer to this Equation as  Eq. #3.2.1  

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

Note that the square root of

  (x-(4/9))2   is

  (x-(4/9))2/2 =

 (x-(4/9))1 =

  x-(4/9)

Now, applying the Square Root Principle to  Eq. #3.2.1  we get:

  x-(4/9) = √ 34/81

Add  4/9  to both sides to obtain:

  x = 4/9 + √ 34/81

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

  x2 - (8/9)x - (2/9) = 0

  has two solutions:

 x = 4/9 + √ 34/81

  or

 x = 4/9 - √ 34/81

Note that  √ 34/81 can be written as

 √ 34  / √ 81   which is √ 34  / 9

Solve Quadratic Equation using the Quadratic Formula

3.3     Solving    9x2-8x-2 = 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   =     9

                     B   =    -8

                     C   =   -2

Accordingly,  B2  -  4AC   =

                    64 - (-72) =

                    136

Applying the quadratic formula :

              8 ± √ 136

  x  =    —————

                   18

Can  √ 136 be simplified ?

Yes!   The prime factorization of  136   is

  2•2•2•17

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).

√ 136   =  √ 2•2•2•17   =

               ±  2 • √ 34

 √ 34   , rounded to 4 decimal digits, is   5.8310

So now we are looking at:

          x  =  ( 8 ± 2 •  5.831 ) / 18

Two real solutions:

x =(8+√136)/18=(4+√ 34 )/9= 1.092

or:

x =(8-√136)/18=(4-√ 34 )/9= -0.203

Two solutions were found :

x =(8-√136)/18=(4-√ 34 )/9= -0.203

x =(8+√136)/18=(4+√ 34 )/9= 1.092

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

ax² + bx + c = 0

In the quadratic formula the "b" coefficent gets sqaured

bx = 8x

b = 8

Answer: 87

Step-by-step explanation:

This will be solved using an arithmetic progression. The formula will be:

= a + (n - 1)d

where,

a = first term = 10

d = common difference = 7

n = 12

Therefore, 12 term will be:

= a + (n - 1)d

= 10 + (12 - 1) × 7

= 10 + (11 × 7)

= 10 + 77

= 87

Therefore, the number of stitches that are in the 12th row will be 87.

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: [tex]z_c[/tex]

Test statistic: z

If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.

If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

In this question:

[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]

Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Answer:

3

Step-by-step explanation:

Answer:

3 + 6 = 6 + 3

Step-by-step explanation:

3 + 6 = 6 + y

9 = 6 + y

y + 6 = 9

y + 6 - 6 = 9 - 6

y = 3

Answer:

Step-by-step explanation:

[tex] - |3a + \sqrt{b} | [/tex]

By putting the values of a = -4 , b = 9,

[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]

[tex] = - | - 12 + 3| [/tex]

[tex] = - | - 9| [/tex]

= -(9)

= -9 (Ans)

Answer:

Step-by-step explanation:

scam . smď