Which is the graph of f(1) = (x

A dance teacher asks, "How many students are enrolled in the Saturday morning class this term?"

fredd [130]

Can you show me the drop down menus so I could help you

7 0

1 year ago

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Which of the following are factors of x^4 – 16? Select all that apply.

nekit [7.7K]

<h2>Answer:</h2><h2>x^2+4 and X+2</h2>

Solution,

x^4-16

= (X^2)^2-(4)^2

Use the formula(a^2-b^2)

= (x^2+4)(x^2-4)

=(x^2+4)(x^2-2^2)

=(x^2+4)(X+2)(x-2)

Hope it helps

Good luck on your assignment

5 0

3 years ago

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Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 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:

#learnwithBrainly

7 0

3 years ago

What is the interquartile range of this data?

Alexxx [7]

The answer is 12.5, but if you round it, it will most likely be 13, so the answer is C.13, hopes this helps!!:)

3 0

3 years ago

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If you have 66 data observations in a sample, how many classes (bins) does the sturges' rule recommend for you to construct a fr

Iteru [2.4K]

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

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