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ycow [4]
3 years ago
6

What is the equation for the graph?

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

<u>Standard</u><u> </u><u>Form</u><u>:</u>

y =  {x}^{3}  - 3 {x}^{2}  + 3x - 4

<u>Another</u><u> </u><u>Form</u><u>:</u>

<u>y = (x - 1)^{3}  - 3</u>

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

y  =  {(x - 1)}^{ 3}   - 3

In case if you want standard form.

Simplify the expression.

(x - y)^{3}  =  {x}^{3}  - 3 {x}^{2} y + 3x {y}^{2}  -  {y}^{3}

y ={x}^{3}  - 3 {x}^{2}  + 3x - 1 - 3 \\ y =  {x}^{3}  - 3 {x}^{2}  + 3x - 4

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Solve for x<br><br> 6x + 3 - 1/2 x = -2x +5
UkoKoshka [18]
<span>First, group the x values together (on one side) and the other values on the other.

  6x + 3 - 1/2 x = -2x +5
6x - 1/2 x + 2x = 5 - 3

Now solve!

     7 and 1/2 x = 2
                      x = 8

Hope this helps!</span>
6 0
4 years ago
Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart.
Reil [10]

Answer:

9.4 units

Step-by-step explanation:

Step one:

given data'

We are given the coordinates

x1=4.2

x2=-5.2

y1=-2

y2=-2

Required

The distance between the points

Step two:

The expression for the distance is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-5.2-4.2)²+(-2+2)²)

d=√((-9.4)²

d= √88.36

d= 9.4 units

5 0
3 years ago
Describe, with examples of your own, when you would use long division and synthetic division and how to check polynomial divisio
puteri [66]
You use long division when you divide polynomial by other polynomials. You use synthetic division to divide polynomials by binomials of the form (x-k).
6 0
3 years ago
Read 2 more answers
Which trinomial is a perfect square trinomial? a2 – 18a + 36 a2 – 16a + 64 a2 – 8a + 64 a2 – 6a + 36
Komok [63]

Answer:

a^2-16a+64

Step-by-step explanation:

we have the options

a^2-18a+36\\a^2-16a+64\\a^2-8a+64\\a^2-6a+36

the one that is a perfect equare tinomial is:

a^2-16a+64

because we can rewrite this as follows:

(a-8)^2  this is because we know that

x^2-2xy+y^2=(x-y)^2

thus

a^2-16a+64=(x-8)^2

and the other options cannot be represented as a perfect square trinomial, so the correct answer is:

a^2-16a+64

4 0
3 years ago
Solve the trigonometric equation<br> 3-3cosx=2 sin^2 x
Zina [86]
= 3 - 3cos x - 2(1- cos^2 x)
= 2cos^2 x - 3cos x + 1
=(cos x -1)(cosx - 1/2)
   now cos x = 1    or cos x= 1/2 
   draw a graph we get = + ve values
  hence .. 0 ,180,360 and 60,240, degrees in range x<2pi 
  
6 0
3 years ago
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