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
geniusboy [140]
1 year ago
5

Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average

rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Mathematics
1 answer:
mafiozo [28]1 year ago
4 0

Answer:

For section A, the average rate of change is 12. For section B, the average rate of change is 300. The average rate of change in Section B is greater than Section A by 25. The rate of change keeps on increasing because the slope of the function is increasing.

Step-by-step explanation:

Concept: For a function f(x), the rate of change is given by \frac{f(x_{2})-f(x_{1})  }{x_{2}-x_{1}  }. Given function is h(x) = 3(5∧x).

For x = 0 to x = 1, the value of function would be f(0) = 3 to f(1) = 15.

The rate of change would be (15-3) / (1-0) = 12.

For x = 2 to x = 3, the value of function would be f(2) = 75 to f(3) = 375.

The rate of change would be (375-75) / (3-2) = 300.

The average rate of change in Section B is greater than Section A by

300 / 12 = 25.

Looking at the function, that is h(x) = 3(5∧x), we see that this function is an increasing function. The slope of an increasing function keeps on increasing with the value of x. The rate of increase is also a slope. That is why the rate keeps on increasing.

For more explanation, refer the following link:

brainly.com/question/525358

#SPJ10

You might be interested in
Graph the equation <br><br> y≥-4/3x-7
True [87]

Answer: See picture

Step-by-step explanation:

For this problem, we need to know how to graph the inequality. First, let's establish that we will have a solid line because the inequality is greater than or equal to. If the inequality was only greater than, then it would be a dotted line. For -4/3x-7, you would start at (0,-7) as the y-intercept. Then you would go down by 4 and go to the right by 3 units. Now, we have to do shading. Since we know that y is greater than or equal to, the shading will be on top of the line, where y is greater.

7 0
2 years ago
Please help!!!!!!
vodka [1.7K]

Answer:

A

Step-by-step explanation:

square: 10² = 100

Circle: π*5² = 3.14*25 = 78.5

In the squqre not in the circle: 100-78.5 = 21.5

4 0
1 year ago
Read 2 more answers
A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. A sphere with a radius of 13 inches is inside
ArbitrLikvidat [17]

Answer:

26in cylinder

Step-by-step explanation

A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. ~26in cylinder. Inside the container there is empty space not taken up by the volleyball.

5 0
2 years ago
Read 2 more answers
Hello please help i’ll give brainliest
Molodets [167]
It's the last option
4 0
3 years ago
Read 2 more answers
Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17
vampirchik [111]

Answer:

Yes.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Systems of Equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x + 3y = 20

x + 4y = 17

(1, 4)

<u>Step 2: Check</u>

<em>Plug and verify the coordinates is a solution.</em>

  1. Substitute in point [1st Equation]:                                                                    8(1) + 3(4) = 20
  2. Multiply:                                                                                                             8 + 12 = 20
  3. Add:                                                                                                                   20 = 20 \checkmark
  4. Substitute in point [2nd Equation]:                                                                  1 + 4(4) = 17
  5. Multiply:                                                                                                             1 + 16 = 17
  6. Add:                                                                                                                   17 = 17 \checkmark

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.

6 0
3 years ago
Other questions:
  • The sum of five h and twice g is equal to 23
    5·1 answer
  • A cone and its dimensions are shown in the diagram . What is the volume of the cone in cubic inches? 7 1/2 in for height and 5 5
    9·1 answer
  • What is the answer to 847x487
    13·1 answer
  • Simplify each expression. (unit 3<br><br>1. (2x + 3 2/5) + (5x - 4/5)​
    8·1 answer
  • two numbers have prime factorization of 2^3×3×5 and 2×3^2×5 which expressions will give the greatest common factor and the least
    14·2 answers
  • -3x+2≤-10
    8·1 answer
  • 2.6 less than the product of 4 and a number z
    6·2 answers
  • Find the linear function for f(1) = 3 and f(4) = 0
    8·1 answer
  • Help solve this plsss fast!!!
    6·1 answer
  • What are the solutions to the system of equations? y=x2−7x+12y=−x+7
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!