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Semenov [28]
1 year ago
7

Which is the graph of f(1) = (x - 1)(x + 4)?

Mathematics
1 answer:
Papessa [141]1 year ago
5 0

Answer:

D

Step-by-step explanation:

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Which of the following are factors of x^4 – 16? Select all that apply.
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<h2><em>Answer:</em></h2><h2><em>x^</em><em>2</em><em>+</em><em>4</em><em> </em><em>and </em><em>X+</em><em>2</em></h2>

<em>Solution,</em>

<em>x^</em><em>4</em><em>-</em><em>1</em><em>6</em>

<em>=</em><em> </em><em>(</em><em>X^</em><em>2</em><em>)</em><em>^</em><em>2</em><em>-</em><em>(</em><em>4</em><em>)</em><em>^</em><em>2</em>

<em>Use </em><em>the </em><em>formula(</em><em>a^</em><em>2</em><em>-</em><em>b</em><em>^</em><em>2</em><em>)</em>

<em>=</em><em> </em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>4</em><em>)</em>

<em>=</em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>x^</em><em>2</em><em>-</em><em>2</em><em>^</em><em>2</em><em>)</em>

<em>=</em><em>(</em><em>x^</em><em>2</em><em>+</em><em>4</em><em>)</em><em>(</em><em>X+</em><em>2</em><em>)</em><em>(</em><em>x-2)</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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3 years ago
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Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0
Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)

Adding eq(1) and eq(2)

x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\

Adding eq(2) and eq(3)

x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)

Multiplying eq(4) by 3 and eq(5) by 2

6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0

So, value of z =0

Putting value of z in eq(4)

2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

  • brainly.com/question/6075514
  • brainly.com/question/2386054
  • brainly.com/question/7361044

#learnwithBrainly

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According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

k=1+log_{2} n

Here, n is equal to 66 and by substituting the value to the equation we get:

k=1+log_{2} (66)

k = 7.0444

k ≈ 7

Learn more about Sturge's rule here: brainly.com/question/28184369

#SPJ4

8 0
1 year ago
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