1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
3 years ago
7

Please answer its a multiple question answer

Mathematics
2 answers:
olchik [2.2K]3 years ago
4 0

Step-by-step explanation:

1st and 2nd, and 4th and 5th are equivalent to -11/4

3rd and 6th are not the same thing.

vfiekz [6]3 years ago
3 0
The answers 1, 2, 4, and 5 are right

Hope this helps
You might be interested in
Use the distributive property to model the product on the grid 4x12=
kykrilka [37]
The correct answerr is 48 
7 0
3 years ago
What is the solution set of (x-2)(x-3)=3
natali 33 [55]

Answer:

x =(5-√13)/2= 0.697

x =(5+√13)/2= 4.303

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (x - 2) • (x - 3) -  3  = 0  

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  x2-5x+3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3 = 3  

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -5 .

     -3    +    -1    =    -4  

     -1    +    -3    =    -4  

     1    +    3    =    4  

     3    +    1    =    4  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  2  :

 x2 - 5x + 3  = 0  

Step  3  :

Parabola, Finding the Vertex :

3.1      Find the Vertex of   y = x2-5x+3

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   2.5000  

Plugging into the parabola formula   2.5000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 2.50 * 2.50 - 5.0 * 2.50 + 3.0

or   y = -3.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-5x+3

Axis of Symmetry (dashed)  {x}={ 2.50}  

Vertex at  {x,y} = { 2.50,-3.25}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = { 0.70, 0.00}  

Root 2 at  {x,y} = { 4.30, 0.00}  

Solve Quadratic Equation by Completing The Square

3.2     Solving   x2-5x+3 = 0 by Completing The Square .

Subtract  3  from both side of the equation :

  x2-5x = -3

Now the clever bit: Take the coefficient of  x , which is  5 , divide by two, giving  5/2 , and finally square it giving  25/4  

Add  25/4  to both sides of the equation :

 On the right hand side we have :

  -3  +  25/4    or,  (-3/1)+(25/4)  

 The common denominator of the two fractions is  4   Adding  (-12/4)+(25/4)  gives  13/4  

 So adding to both sides we finally get :

  x2-5x+(25/4) = 13/4

Adding  25/4  has completed the left hand side into a perfect square :

  x2-5x+(25/4)  =

  (x-(5/2)) • (x-(5/2))  =

 (x-(5/2))2

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

  x2-5x+(25/4) = 13/4 and

  x2-5x+(25/4) = (x-(5/2))2

then, according to the law of transitivity,

  (x-(5/2))2 = 13/4

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-(5/2))2   is

  (x-(5/2))2/2 =

 (x-(5/2))1 =

  x-(5/2)

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

  x-(5/2) = √ 13/4

Add  5/2  to both sides to obtain:

  x = 5/2 + √ 13/4

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

  x2 - 5x + 3 = 0

  has two solutions:

 x = 5/2 + √ 13/4

  or

 x = 5/2 - √ 13/4

Note that  √ 13/4 can be written as

 √ 13  / √ 4   which is √ 13  / 2

Solve Quadratic Equation using the Quadratic Formula

3.3     Solving    x2-5x+3 = 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   =    -5

                     C   =   3

Accordingly,  B2  -  4AC   =

                    25 - 12 =

                    13

Applying the quadratic formula :

              5 ± √ 13

  x  =    —————

                   2

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          x  =  ( 5 ±  3.606 ) / 2

Two real solutions:

x =(5+√13)/2= 4.303

or:

x =(5-√13)/2= 0.697

4 0
3 years ago
Read 2 more answers
A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of
vesna_86 [32]

Answer:

The width is 50 yards and the length is 141 yards.

Step-by-step explanation:

Let's call: L the length of the field and W the width of the field.

From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:

2L + 2W = 382

Because the perimeter of a rectangle is the sum of two times the length with two times the width.

Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:

L = 3W - 9

So, replacing this last equation on the first one and solving for W, we get:

2L + 2W = 382

2(3W - 9) + 2W = 382

6W -18 +2W = 382

8W - 18 = 382

8W = 382 + 18

8W = 400

W = 400/8

W = 50

Replacing W by 50 on the following equation, we get:

L = 3W - 9

L = 3(50) - 9

L = 141

So, the width of the rectangular field is 50 yards and the length is 141 yards.

3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Factor.<br><br> 11x^2 + 35x + 6
8_murik_8 [283]

The answer would be (11x+2)(x+3).

3 0
3 years ago
Read 2 more answers
write a division problem that will have a 2 digit quotient and another division problem that will have a 3 digit quotient
Nutka1998 [239]
10 divided by 5 equals 2 9 divided by 3 equals 3
8 0
4 years ago
Other questions:
  • How do you determine the common difference for an arithmetic sequence?
    6·1 answer
  • What is the value of 3-(-2)?
    12·2 answers
  • A dripping faucet loses about 2.5×10^−4 litres of water each minute. There are approximately 3×10^5 minutes in a month.
    6·2 answers
  • Please help I will give out brainliest
    10·1 answer
  • Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x
    11·1 answer
  • Write the equation of the line in slope intercept.
    5·2 answers
  • Bill says he can add 23 and 40 without regrouping
    5·2 answers
  • Someone help!!??? pleaseee
    10·1 answer
  • Justin's recipe for banana pancakes includes 0.8 cups of flour to 3 bananas to 1 egg. If Justin wants to cook using 18 bananas,
    13·1 answer
  • Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7) a) horizontal shift left 7 units b) horizo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!