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
kolbaska11 [484]
3 years ago
6

Y = 3x + 3.5 Graph it

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
4 0

Step-by-step explanation:

You will have to make a table, y and f(y), y will represent a point on X axis and f(y) will represent a point on the Y axis. In the table, add random points in the Y table <em>(</em><em>l</em><em>ike</em><em>,</em><em> </em><em>for</em><em> </em><em>example,</em><em> </em><em>-</em><em>3</em><em>,</em><em> </em><em>-</em><em>2</em><em>,</em><em> </em><em>-</em><em>1</em><em>,</em><em> </em><em>0</em><em>,</em><em> </em><em>1</em><em>,</em><em> </em><em>2</em><em>,</em><em> </em><em>3</em>). substitute by those Y values in the <u>X's</u> of the equation . Those results should be in the corresponding f(y) columns. After that, draw the curve.

Ber [7]3 years ago
3 0
So we have to start at 3.5 up the y axis. Then, we have to move 3 slots to the right. Let me know if this helps!
You might be interested in
The difference of 2x and 15 is less than or equal to the sum of 4x and 17
Gennadij [26K]

Answer:

x ≥ -32

Step-by-step explanation:

2x - 15 ≤ 4x + 17

2x - 15 - 2x -17 ≤ 4x + 17 - 2x -17

-32 ≤ 2x

x ≥ -32

7 0
3 years ago
Solve 3k^2=8k+8,using completing the square method ​
GenaCL600 [577]

Answer:

3k2=8k+8 

Two solutions were found :

 k =(8-√160)/6=(4-2√ 10 )/3= -0.775

 k =(8+√160)/6=(4+2√ 10 )/3= 3.442

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "k2"   was replaced by   "k^2". 

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     3*k^2-(8*k+8)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

3k2 - (8k + 8) = 0

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  3k2-8k-8 

The first term is,  3k2  its coefficient is  3 .

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

The last term, "the constant", is  -8 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -8 = -24 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -8 .

     -24   +   1   =   -23     -12   +   2   =   -10     -8   +   3   =   -5     -6   +   4   =   -2     -4   +   6   =   2     -3   +   8   =   5     -2   +   12   =   10     -1   +   24   =   23

Observation : No two such factors can be found !! 

Conclusion : Trinomial can not be factored

Equation at the end of step  2  :

3k2 - 8k - 8 = 0

Step  3  :

Parabola, Finding the Vertex :

 3.1      Find the Vertex of   y = 3k2-8k-8

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, 3 , 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,Ak2+Bk+C,the  k -coordinate of the vertex is given by  -B/(2A) . In our case the  k  coordinate is   1.3333  

 Plugging into the parabola formula   1.3333  for  k  we can calculate the  y -coordinate : 

  y = 3.0 * 1.33 * 1.33 - 8.0 * 1.33 - 8.0 

or   y = -13.333

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = 3k2-8k-8

Axis of Symmetry (dashed)  {k}={ 1.33} 

Vertex at  {k,y} = { 1.33,-13.33}  

 k -Intercepts (Roots) :

Root 1 at  {k,y} = {-0.77, 0.00} 

Root 2 at  {k,y} = { 3.44, 0.00} 

Solve Quadratic Equation by Completing The Square

 3.2     Solving   3k2-8k-8 = 0 by Completing The Square .

 Divide both sides of the equation by  3  to have 1 as the coefficient of the first term :

   k2-(8/3)k-(8/3) = 0

Add  8/3  to both side of the equation : 

   k2-(8/3)k = 8/3

Now the clever bit: Take the coefficient of  k , which is  8/3 , divide by two, giving  4/3 , and finally square it giving  16/9 

Add  16/9  to both sides of the equation :

  On the right hand side we have :

   8/3  +  16/9   The common denominator of the two fractions is  9   Adding  (24/9)+(16/9)  gives  40/9 

  So adding to both sides we finally get :

   k2-(8/3)k+(16/9) = 40/9

Adding  16/9  has completed the left hand side into a perfect square :

   k2-(8/3)k+(16/9)  =

   (k-(4/3)) • (k-(4/3))  =

  (k-(4/3))2 

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

   k2-(8/3)k+(16/9) = 40/9 and

   k2-(8/3)k+(16/9) = (k-(4/3))2 

then, according to the law of transitivity,

   (k-(4/3))2 = 40/9

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

   (k-(4/3))2   is

   (k-(4/3))2/2 =

  (k-(4/3))1 =

   k-(4/3)

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

   k-(4/3) = √ 40/9 

Add  4/3  to both sides to obtain:

   k = 4/3 + √ 40/9 

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

   k2 - (8/3)k - (8/3) = 0

   has two solutions:

  k = 4/3 + √ 40/9 

   or

  k = 4/3 - √ 40/9 

Note that  √ 40/9 can be written as

  √ 40  / √ 9   which is √ 40  / 3 

Solve Quadratic Equation using the Quadratic Formula

 3.3     Solving    3k2-8k-8 = 0 by the Quadratic Formula .

 According to the Quadratic Formula,  k  , the solution for   Ak2+Bk+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

            - B  ±  √ B2-4AC

  k =   ————————

                      2A 

  In our case,  A   =     3

                      B   =    -8

                      C   =   -8 

Accordingly,  B2  -  4AC   =

                     64 - (-96) =

                     160

Applying the quadratic formula :

               8 ± √ 160 

   k  =    —————

                    6

Can  √ 160 be simplified ?

Yes!   The prime factorization of  160   is

   2•2•2•2•2•5  

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

√ 160   =  √ 2•2•2•2•2•5   =2•2•√ 10   =

                ±  4 • √ 10 

  √ 10   , rounded to 4 decimal digits, is   3.1623

 So now we are looking at:

           k  =  ( 8 ± 4 •  3.162 ) / 6

Two real solutions:

 k =(8+√160)/6=(4+2√ 10 )/3= 3.442 

or:

 k =(8-√160)/6=(4-2√ 10 )/3= -0.775 

Two solutions were found :

 k =(8-√160)/6=(4-2√ 10 )/3= -0.775

 k =(8+√160)/6=(4+2√ 10 )/3= 3.442

5 0
3 years ago
Read 2 more answers
Visual domain and range
Mashutka [201]

The domain of a graph of a function is  x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

As we can see in the graph there are two bold dots are shown which represents at these points the function value exist.

At x = -8, y = 7

At x = 9, y = 6

At x = -3, y = 0

The domain of a function is x ∈ [-8, 9]

The range of a function is y ∈ [7, 0]

Thus, the domain of a graph of a function is  x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
1 year ago
Jerome is cooking dinner. He needs 7 ounces of broccoli for each person . Jerome is not sure how many people will come for dinne
Burka [1]
If x is the number of people that come over to dinner, and y is how much ounces of broccoli he needs, then this is your equation:
7x = y is your answer

Because he needs 7 ounces for each person, to find the number of ounces he needs, you multiply 7 by the number of people.
7 0
3 years ago
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
Paraphin [41]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

If you have 10 on one side, you divide 10 by 1/4 to get 40. So you need 40 blocks to fill one side, and 3 1/2 on the other only needs 14. 14*40=560.

8 0
3 years ago
Other questions:
  • My teacher gave me a number and told me to subtract 5 from the number and then multiply the result by 8. Unfortunately, I wasn't
    15·1 answer
  • Denise is using a ladder to clean the outside of her second story windows. The ladder she is using is 24 feet long, and she puts
    11·1 answer
  • what inequality does this number line show? Numbers 1-4. NEED ANSWERS ASAP FIRST TO ANSWER GETS CROWNED BRAINLIEST!!!
    7·1 answer
  • The actual length of the building is 72 feet. what is the scale of jackie's map?
    5·1 answer
  • A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a
    14·1 answer
  • PLEASE ANSWER FAST!IM TIMED——————————What is the sum of the fractions? Use the number line to help find the answer.
    9·1 answer
  • Use the distributive property to find the product. 3x^2(4x^3-5x+10)
    10·1 answer
  • I need help ASAP anyone?
    13·1 answer
  • A bar graph titled Games per month has month on the x-axis and number of games on the y-axis. January has 7 games; February, 5 g
    7·2 answers
  • Find the value of a &amp; b​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!