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
denis-greek [22]
3 years ago
7

Given f(x) = 17-х^2, what is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=17-x^2 \qquad \begin{cases} x_1=1\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(1)}{5-1} \\\\\\ \cfrac{[17-(5)^2]~~-~~[17-(1)^2]}{4}\implies \cfrac{[-8]-[16]}{4}\implies \cfrac{-24}{4}\implies -6

You might be interested in
Two sides of a triangle are 4 cm and 7 cm. What can be the length of its third side to make the triangle possible?​
Artyom0805 [142]

Answer:

4cm or 7 cm

Step-by-step explanation:

it can make 2 sides equal and make a isosceles triangle

8 0
3 years ago
Explain why the solution to 3r =2 must be less then 1.
saveliy_v [14]
For this you have to get r by itself so you put 1 over 3 and move it to the other side and then you get 2/3 as an answer
3 0
3 years ago
The sides of a rectangular field are
Lyrx [107]

Answer:

Step-by-step explanation

Perimeter of a rectangle =2(length +breadth)

90m = 2{(36x+2) + (2(x+2)}

Opening the inner brackets,

90 = 2{36x +2+2x +4}

90 = 2{38x +6}

Open the brackets

90 = 76x + 12

Collect like terms

90 - 12 = 76x

78=76x

Divide 78 by the coefficient of x

x = 78÷76

x =1.03m (2d.p)

Substitute the value of x into the expressions for the two sides of the rectangle

36x+2 =(36×1.03) +2= 37.08+2=39.08m

2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m

The approximate values of the two sides of d rectangular field are 39.08m and 6.06m

7 0
3 years ago
First, if the altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into two segments with lengths of 9 in
Serhud [2]
A right triangle base in your question, its hypotenuse is divided in to two line segment by a line of altitude and those segment are measured as 9 inches and 17 inches, so base on my calculation the exact length of the altitude is 3*sqrt(17)
8 0
3 years ago
A cylindrical candle has a diameter of 3 inches and a height of 3 inches.
inysia [295]

Answer: c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help<br><br> Write an inequality for the given graph
    14·1 answer
  • Plzzzzz help me so I can finish my homework
    7·1 answer
  • A little help here? <br><br><br> Whats the value of X?
    8·2 answers
  • After paying 8 dollars for the pie, Keith has 68 dollars left, his friend
    15·2 answers
  • Which points are solutions to the system of inequalities shown below? Check all that apply!​
    8·1 answer
  • Please help me find the solution ​
    14·1 answer
  • Kwan uses a balance scale to solve an equation, as shown. Which value of x best represents the solution to the equation?
    8·2 answers
  • Help me find the perimeter of this square. if you can do it step by step please!
    11·1 answer
  • Choose True or False for each statement about the solutions of 6 -5X &gt; -9.
    15·1 answer
  • 2x − 1 &lt; 7 and 3x + 24 ≥ 12
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!