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
bekas [8.4K]
3 years ago
10

Given f(x) = 17-xwhat is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
1 answer:
stira [4]3 years ago
4 0
<h2>Answer:</h2>

The average rate of change in f(x) over the interval [1, 5] is -1

<h2>Step-by-step explanation:</h2>

Hi! Let me help you to understand this problem. Here we have the following function:

f(x) = 17-x

We need to compute the Average Rate of Change (ARC) in f(x) over the interval [1, 5]. So <em>what is the average rate of change of a function? </em>In general, for a nonlinear graph whose slope changes at each point, the average rate of change between any two points (x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2}) is defined as the slope of that line through that two points. Here we have a linear function, so the average rate of change will be the slope of the line:

So:

ARC=m=-1

This can also be calculated as:

ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} \\ \\ ARC=\frac{17-5-(17-1)}{5-1} \\ \\ ARC=-1

You might be interested in
25 + x^2 + 10x = 0<br> solve for x<br> please explain!!
Vera_Pavlovna [14]

Answer: Simply  - 5

Step-by-step explanation: Let's solve your equation step-by-step.

25+x2+10x=0

Step 1: Simplify both sides of the equation.

x2+10x+25=0

Step 2: Factor left side of equation.

(x+5)(x+5)=0

Step 3: Set factors equal to 0.

x+5=0 or x+5=0

x=−5

8 0
3 years ago
Read 2 more answers
5(X-Y) in english meaning (word form)
Brrunno [24]
A number x minus a number y multiplied by 5
7 0
3 years ago
2 divided by 5/12= what
AlekseyPX

Answer:

4.8

Step-by-step explanation:

2 ÷ 5/12 = 4.8

Make sure to use a calculator or solve on a piece of paper. :)

6 0
3 years ago
What's the distance between the points (4,3) and (16,8)
omeli [17]

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

5 0
2 years ago
Read 2 more answers
Find y when x = 3 of the equation for y=2x+12
ser-zykov [4K]

Answer:

y = 18

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>

Step-by-step explanation:

<u>Step 1: Define</u>

y = 2x + 12

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                y = 2(3) + 12
  2. Multiply:                                                                                                           y = 6 + 12
  3. Add:                                                                                                                 y = 18
3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for the indicated variable<br>show work please
    14·1 answer
  • What expression represents the measure of angle x?
    7·1 answer
  • Dylan has a square peice of metal that measures 10inches on each side he cuts the metal along the diagonal, forming two right tr
    8·1 answer
  • Which of the following types of information is suited for display on a double-line graph? A. annual changes in Melody’s height a
    9·2 answers
  • How is the area of a sail related to the weight of the pilot on a hang glider?
    13·2 answers
  • What decimal is equivalent to 6 %
    5·2 answers
  • Factorise x+y<br><br>-ax-ay​
    6·2 answers
  • Please help<br> Me find that last box I’m struggling
    9·2 answers
  • Help anyone<br> 8th grade math
    9·1 answer
  • Use substitution to solve.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!