1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
3 years ago
9

A) Show that the equation 20-x^3-7x^2=0 can be rearranged to give x=20/x^2 - 7

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

Step-by-step explanation:

      20-x^3-7x^2=0

a)

  • Add x^3 to both sides of the equation:     20-7x^2=x^3
  • Divide both sides by x^2:    \frac{20}{x^2} -\frac{7x^2}{x^2} =\frac{x^3}{x^2}  ⇒  \frac{20}{x^2} -7 =x

b)

    x_1=\frac{20}{(x_0)^2} -7

⇒ x_1=\frac{20}{(-9)^2} -7

⇒ x_1=-\frac{547}{81}

    x_2=\frac{20}{(x_1)^2} -7

⇒ x_2=\frac{20}{(-\frac{547}{81})^2} -7

⇒ x_2=-6.561443673...

   x_3=\frac{20}{(x_2)^2} -7

⇒ x_3=\frac{20}{(-6.561443673...)^2} -7

⇒ x_3=-6.535451368...

c) approximation to the location of one of the roots of the equation.  Each iteration gives a slightly more accurate value of a root x.

You might be interested in
What is the best approximation for the solution to this system of equations?
crimeas [40]
If you would like to solve the system of equations, you can do this using the following steps:

y = - 3
y = x - 0.8
_________
y = y
- 3 = x - 0.8
x = - 3 + 0.8
x = - 2.2

(x, y) = (- 2.2, - 3)

The correct result would be <span>(- 2.2, - 3).</span>
5 0
3 years ago
You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?
4vir4ik [10]

4 / 30 = .13

.13 • 45 = 6 gallons of water

7 0
3 years ago
Read 2 more answers
Use the diagram to complete the table by matching the Theorem with the angle relationship.
serious [3.7K]

Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

       Answer                                                  Angle Relationship

c. Corresponding Angles                       ∠ 1 ≅ ∠ 5

d. Same Side Interior                             ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles                    ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles                    ∠ 4 ≅ ∠ 5

c. Corresponding Angles                       ∠ 2 ≅ ∠ 6

6 0
3 years ago
If tan θ=3\4 , find csc
Rom4ik [11]

In a rectangular triangle \tan\theta\dfrac{opposite}{adjacent}.

We have \tan\theta=\dfrac{3}{4}

Therefore opposite = 3uints and adjacent = 4units.

\csc\theta=\dfrac{hypotenuse}{opposite}

We need the length of hypotenuse.

Use the Pythagorean theorem:

h^2=3^2+4^2\\\\h^2=9+16\\\\h^2=25\to h=\sqrt{25}\to h=5units

Substitute:

\csc\theta=\dfrac{5}{3}

3 0
4 years ago
Write each ratio as a rate.
Setler [38]

Answer:

a. 62 miles/hour

b. 1.25 laps/minute

Step-by-step explanation:

a. ratio of miles to the number of hours is 434 to 7 can also be written as

\frac{434}{7}= 62 miles/hour

therefore rate or speed= 62 miles/hour

b. \frac{number\ of \ laps}{number\ of \ minutes} = \frac{5}{4}

= 1.25 laps/minute which rate or speed

7 0
3 years ago
Other questions:
  • Number of Burgers
    6·1 answer
  • What is 4 3/4 - 2 2/3
    11·2 answers
  • Identify the property used in each step of solving the inequality 3x – 2 &gt; –4.
    6·2 answers
  • I want to know what to do with my Brainly points. I have all the points I’ll ever need, and I hate answering questions because p
    10·2 answers
  • The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spen
    15·1 answer
  • Help me it’s a test !!! Please!!
    10·1 answer
  • A negative number divided by a positive number is:
    7·1 answer
  • —6x – 3 K9<br> Pls help
    15·1 answer
  • The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean sellin
    8·1 answer
  • (it urgent)<br> Find the AREA of the SHADED REGION
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!