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
aalyn [17]
3 years ago
6

Example 2:

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0
Taking this example into account, we can see that setting the first value equal to 1, we obtain that F(x)=0.5x+1=4 and x=6. Using this information, we find that F(x+1)=0.5(x+1)+1=0.5(6+1)+1=4.5. It shows that when x is positive, the succussive terms are increasing.

Referring to that finding, if we set initial value less than zero, which means that we are solving 0.5x+1<0 and taking a number in the interval of the solution, which means x ∈ (- ∞, -20). Setting x=-19, we find that F(x)=0.5x+1=-19 and x=-40. In the next iteration, F(x+1)=0.5(x+1)+1=0.5(1-40)+1=-18.5. In the next iteration, F(x+2)=0.5(x+2)+1=0.5(2-40)+1=-18. By this way, we find that even if the initial value is less than zero, value of the successive iterations is increasing. 

Using the function g(x)=-x+2 and taking the initial value equal to 4, we find that g(x)=-x+2=4 and x=-2. In the next iteration, g(x+1)=-(x+1)+2=-(-2+1)+2=3. If we continue the iterations we'll see that they are decreasing.
Setting the initial value equal to 2, we find that g(x)=-x+2=2 and x=0. The next iteration is g(x+1)=-(x+1)+2=1. In this case, the interations are also decreasing. 
If we set the initial value equal to 1, we find that g(x)=-x+2=1 and x=1. In the next iteration, g(x+1)=-(x+1)+2=0 and the iterations are decreasing. 
You might be interested in
Find the number of positive divisors of 1470.
julsineya [31]

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

6 0
3 years ago
Read 2 more answers
If the length of a rectangle is halved and its breath is tripled, what is the percentage change in its area??
Dennis_Churaev [7]

Answer:

A 50% increase

Step-by-step explanation:

Area = length x breadth

Let illustrate this with an example

original dimensions

length = 4

breadth = 5

area = 4 x 5 = 20

new dimensions

length = 4/2 = 2

breadth = 5 x 3 = 15

area = 15 x 2 = 30

Percentage change = 30 - 20 / 20 x 100 = 50%

6 0
3 years ago
I need help with both questions.
Nikitich [7]

Answer:

15 and 270

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{a} = a

\sqrt[3]{a} × \sqrt[3]{a} × \sqrt[3]{a} = a

(a)

Given

(\sqrt{5} )² × (\sqrt{3} )²

= 5 × 3

= 15

(b)

Given

(\sqrt[3]{9} )³ × (\sqrt{30} )²

= 9 × 30

= 270

4 0
3 years ago
Solve the right triangle. Will give points!
Anna [14]

Answer:

  • EF = 4.1
  • DE = 9.1
  • m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

For the given triangle, these tell us ...

  sin(24°) = EF/DF = EF/10

  EF = 10·sin(24°) ≈ 4.1

and ...

  cos(24°) = DE/DF = DE/10

  DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

  F = 90° -D = 90° -24°

  ∠F = 66°

6 0
2 years ago
Which of the fractions listed below are equal to 2⁄3?6⁄91⁄33⁄24⁄61⁄6
Usimov [2.4K]

6 / 9   = 2/3     ( since dividing top and bottom be 3  gives 2/3)

Also 4/6 = 2/3

8 0
3 years ago
Other questions:
  • Graphing Absolute Value Equations
    9·2 answers
  • Keith has $100 in a savings account at the beginning of the summer. He makes $25 each week at his babysitting job. He wants to h
    5·1 answer
  • Your text suggests that you look for an agent who has been in the insurance business for how long?
    6·2 answers
  • A(n) __________ is a number that the variable is multiplied by. It is usually found immediately before the variable.
    8·1 answer
  • How do you do equations involving factored expressions
    8·1 answer
  • A cruise ship is traveling at a speed of 20 knots. A knot is approximately equal to 1.151 miles per hour. What is the approximat
    12·1 answer
  • a pizza has 3/4 slices of pepperoni, 5/8 slices of bell peppers, and 4/16 mushrooms each slice has at least one topping. How man
    12·1 answer
  • Beverly Frost bought a home for $190,000 with a down payment of $19,000 at 7% for 25 years. Since then the rate has risen to 9%.
    9·2 answers
  • M is the midpoint of segment AB. AM = 3x - 8 and MB = 2x - 1. Find the length of AM.
    14·1 answer
  • Solve for w.<br> 6= 9 + w
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!