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
AleksandrR [38]
3 years ago
5

Use the graph of f(x) to evaluate the following:

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

\large\boxed{\dfrac{1}{2}}

Step-by-step explanation:

\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=3\ \text{and}\ x=5.\\(look\ at\ the\ picture)\\\\f(3)=1,\ f(5)=2\\\\\text{Substitute:}\\\\\dfrac{f(5)-f(3)}{5-3}=\dfrac{2-1}{2}=\dfrac{1}{2}

You might be interested in
A light bulb consumes 960 watt-hours per day. How many watt-hours does it consume in 3 days and 18 hours?
oksano4ka [1.4K]

960 x 3 = 2880

18/24 = 0.75

960x 0.75 = 720

2880 + 720 = 3600

7 0
3 years ago
Read 2 more answers
Find the LCD 4/7 and 3/5
blsea [12.9K]
I would multiply 4/7 by 5 and 3/5 by 7 to get 20/35 and 21/35. The Least Common factor is 35
8 0
3 years ago
The height of a triangle is 7m less than it’s base the area of the triangle is 30m^2 what is the length of the base what is the
Ksju [112]
If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.
3 0
3 years ago
Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles
stealth61 [152]

Answer:

18 mph so B is correct 16+2= 18

8 0
3 years ago
Read 2 more answers
Determine the measure of each segment then indicate whether the statements are true or false
kupik [55]

Answer:

d_{AB}\ne d_{JK}

d_{AB}\ne \:d_{GH}

d_{GH}\ne \:d_{JK}

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

  • A(-4, 4)
  • B(2, 5)

Finding the length of AB using the formula

d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

        =\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}

         =\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}

         =\sqrt{6^2+1}

         =\sqrt{36+1}

        =\sqrt{37}

d_{AB}\:=\sqrt{37}

d_{AB}=6.08 units        

Given the vertices of the segment JK

  • J(2, 2)
  • K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

d_{JK}=5 units

Given the vertices of the segment GH

  • G(-5, -2)
  • H(-2, -2)

Finding the length of GH using the formula

d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

         =\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}

          =\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}

          =\sqrt{3^2+0}

           =\sqrt{3^2}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

d_{GH}\:=\:3 units

Thus, from the calculations, it is clear that:

d_{AB}=6.08  

d_{JK}=5

d_{GH}\:=\:3

Thus,

d_{AB}\ne d_{JK}

d_{AB}\ne \:d_{GH}

d_{GH}\ne \:d_{JK}

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0
3 years ago
Other questions:
  • An element with mass 310 grams decays by 8.9% per minute. How much of
    15·1 answer
  • Allen Packed 60 ballons equally into 20 bags. How many ballons did Allen pack in each bag?
    11·2 answers
  • 4.666666... repeating as a fraction? also 0.232323... repeating?
    15·2 answers
  • A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. to test this claim, a random sampl
    13·2 answers
  • A news release for a diet product company reports: There's good news for the 65 million Americans currently on a diet. Its study
    10·1 answer
  • What arithmetic variables look like
    11·1 answer
  • What is 1+1? It's so hard XD
    8·2 answers
  • Mathematics I need help
    6·1 answer
  • GIVING BRAINLIST PLZ HELPPPP Which of the following expressions could be used to represent the problem modeled on the number lin
    8·1 answer
  • Solve for c.<br> a(c+b) = d
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!