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
svetlana [45]
4 years ago
9

Given the function f(x)=-x^2+6x+13f(x)=−x

Mathematics
1 answer:
polet [3.4K]4 years ago
6 0

Answer:

3

Step-by-step explanation:

The given function is

f(x)=-x^2+6x+13

The average rate of change is simply the slope of the secant line connecting any two point on the graph of the function.

The average rate of change  of this function over the interval;

-1\le x\le 5 is given by:

\frac{f(5)-f(1)}{5-1}

f(5)=-(5)^2+6(5)+13

f(5)=-25+30+13=18

f(-1)=-(-1)^2+6(-1)+13

f(-1)=-1-6+13=18

f(-1)=6

The average rate of change now becomes;

\frac{18-6}{4}

\frac{12}{4}=3

You might be interested in
I need help solving this
pentagon [3]
Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)

You have two points...(1,-2),(3,2) so

m=(y2-y1)/(x2-x1)=(2--2)/(3-1)

m=4/2=2 now that you have the slope...

y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)

2=2(3)+b

2=6+b

b=-4 so the line is:

y=2x-4
5 0
3 years ago
Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following
yanalaym [24]
<span>165.85 + 20.5x

Hope this helped!</span>
3 0
3 years ago
The shape of Colorado is nearly a rectangle. The width is 100 miles less than the length. The perimeter is
lilavasa [31]

Answer:  width = 280 miles, length = 380 miles

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

width: L - 100

length: L

Perimeter = 2(Length) + 2(width)

      1320 = 2(L)            + 2(L-100)

      1320 = 2L              + 2L - 200

      1320 =           4L            - 200

      1520 =           4L

       380 =              L

width: L - 100 ---> 380 - 100 = 280

length: L        ---> 380

8 0
4 years ago
Read 2 more answers
PLZ HELP URGENT !!The volleyball team is having a carwash fundraiser. The cost of each carwash is $5. They are also selling seas
Gekata [30.6K]

Answer:

it c

Step-by-step explanation:

you have to time 5 with the c and 40 time 41 then add the two answers

8 0
3 years ago
Find the new area (I-ready)
fiasKO [112]

Answer:

150 squared yards

Step-by-step explanation:

To get the area of something you need to multiple the width and the length of that something.

The scale for he game room is 1 ft: 5 yd.

Multiple 5 yd for every foot.

You get 10 yd as your height and 15 yd as your length.

Multiple 10 and 15 to get the area.

10*15=150 squared yards

3 0
3 years ago
Other questions:
  • Use the distributive property to expand the expression. −13x − (3y − z) + 5
    13·2 answers
  • Suppose you are headed toward a plateau 70 m high. If the angle of elevation to the top of the plateau is 60 degrees, how far ar
    12·1 answer
  • I need help with calculus.
    13·1 answer
  • The front gear of a bicycle has 54 teeth. the back gear has 18 teeth. how many complete rotations must the smaller gear make for
    12·1 answer
  • What is 97<br> - 16.98<br> ———-<br> ?
    14·1 answer
  • EASY BRAINLIEST PLEASE HELP!!
    12·2 answers
  • Someone please help me I’ll give out brainliest please dont answer if you don’t know
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=25%5E%7Ba%2B3%7D%2A%205%5E%7B3a%7D" id="TexFormula1" title="25^{a+3}* 5^{3a}" alt="25^{a+3}* 5
    9·1 answer
  • The volleyball league has 18 players that can only spike the ball with their left hand. This represents 30% of the students that
    10·1 answer
  • What is the absolute deviation of 16 in this data set?{19, 16, 4, 9, 7}2578
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!