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neonofarm [45]
3 years ago
15

Use the rational zero theorem to create a list of all possible rational zeros of the function f(x)=14x7-4x2+2

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

Factor this polynomial:  

F(x)=x^3-x^2-4x+4

Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).  

The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at  

x = 1, x = 2 and x = -2. This means that  

x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)  

A = 1, as you can see from equation the coefficient of x^3 on both sides.  

Typo:  

The rational roots can be  

+/-1, +/-2 and +/-4

Step-by-step explanation:


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A rectangular yard measuring 39 ft by 67 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t
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The area of the walk is 784 square feet

<h3>What is an area?</h3>

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

First, calculate the area of the rectangular yard.

Area = L x W    

where A equals area, L equals length, and W equals width.

According to the stated problem:

A = 39 x 67

A = 2613 square feet          <-------Area of Rectangular yard.

Now, according to the stated problem there is a walk that is 4 feet wide going all the way along the fence (Inside). "

Therefore, we have 8 feet to subtract from each of the values above (39) and (67).

That is 4 feet on each side,

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A = 31 x 59

A = 1829 square feet     <----------Area of new rectangle formed by allowing for three foot walk.

Now, subtract the area of the new rectangle formed from the area of the original area. Doing so, will give you the area of the walk, correct?

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Hence, the Area of WALK = 784 square feet

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Write the equation 24x-4y=96 in slope intercept form
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3 years ago
Solve for x. Round your answer to two decimal places. Show your work for full credit.
omeli [17]

Answer:

x ≈ 14.30

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define variables</u>

∅ = 39°

opposite leg = 9

hypotenuse = x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                              sin39° = 9/x
  2. Multiply <em>x</em> on both sides:       xsin39° = 9
  3. Isolate <em>x</em>:                                 x = 9/sin39°
  4. Evaluate:                                 x = 14.3011
  5. Round:                                    x ≈ 14.30
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