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3 years ago

Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.

1 answer:

3 0

Write the coeeficientes of the polynomial in order:

| 1   - 5   6   - 30
|
|
|
------------------------

After some trials you probe with 5

   | 1   - 5    6     - 30
   |
   |
5 |        5      0       30
-----------------------------
   1    0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.

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Determine the next step for solving the quadratic equation by completing the square.

Studentka2010 [4]

Answer:

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

$x-0.5=(+/-)\sqrt{\frac{7}{4}}$

$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

4 0

3 years ago

An ice cream sandwich has a length of 4 inches, width of 2 1/2 inches, and height of 3/4 inches.What is the volume of the ice cr

dsp73

Answer:

7.2 is your answer:)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tab

Naddik [55]

Answer:

D) Fluid ounce

Step-by-step explanation:

Fluid ounces are a <em><u>unit used to measure volume</u></em>, or <em>how much space something takes up.</em> This measurement is used for liquid ingredients, like water or milk. When a recipe calls for fluid ounces, go ahead and pull out your measuring cup; it's the most accurate way to measure this.

<h2>I hope this helps, and stay safe!! :)</h2>

7 0

2 years ago

Read 2 more answers

Brainest for best answer only 5 mins left show your work

Kamila [148]

Answer:

Step-by-step explanation:

Problem One

Perimeter is in meters not square meters. The equation is

2*(6.8+x) + 2*12.5= 47 Remove the brackets. Combine like terms

13.6 + 2x + 25 = 47

38.6 + 2x = 47 Subtract 38.5 from both sides

2x = 47 - 38.6

2x = 8.4 Divide by 2

x = 4.2

Answer D

Problem 2

This problem is asking that you calculate the perimeter of a swimming pool.

The two semicircles on the ends make a whole circle.

The diameter of the semicircles is obtained from the difference of the two given lengths.

The rectangle has a length of 12. The length of the rectangle and the 2 semicircles is 16. The difference is 4. You could divide this by 2 to get the radius. I would just leave it as the diameter.

So the perimeter is pi*d + 2 * 12 [there are 2 lengths]

Perimeter = 4*pi + 24

Perimeter = 12.56 + 24

Perimeter = 36.56

Answer A

Problem 3

This is the circle inside the square.

The radius of the circle = 9

The diameter of the circle and the length of square's side = 2*9 = 18

The area of the square = s^2 where s = 18

The area of the square = 18^2 = 324

The area of the circle = pi * 9^2 = 3.24 * 81 = 251.34

The area of the Shaded area = 324 - 251.34 = 69.66

Answer C

Problem 4

b1 = 5

b2 = 11.5

h = 4.5

Formula

Area = (b1 + b2 ) * 4.5/2

Area = (5 + 11.5) * 4.5 /2

Area = 16.5 * 4.5 / 2

Area = 74.25/2

Area = 37.125

Answer D

5 0

3 years ago

?4x y=10 rewrite in slope intercept form

aleksandrvk [35]

Wait, do you mean that y=10 is what you want in slope intercept form? Oh btw I'm not answering this just for the points. I'll actually answer the question

6 0

3 years ago