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
Elenna [48]
3 years ago
6

Calculate the rate of change for the quadratic function over the given interval:

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0
2f(x) = 2x - 4 [0, 3]3f(x) = 3x - 1 [-2, -1]9f(x) = x² [4, 5]4f(x) = 4x [5, 20]5f(x) = x² - 3 [0, 5]1f(x) = x + 10 [-5, -1]10f(x) = 10x [-3, 0]¹/₂f(x) = 0.5x - 2 [2, 4]11f(x) = 2x² + x [1, 4]-1f(x) = -x + 2 [-3, 5]Domainthe set of all reasonable input values of x for the functionRangeset of output y values for the domain of the functionAverage Rate of ChangeChange in values over a given interval.Origin(0,0) on the coordinate graphing system; where the two axes meetx-axisthe horizontal number line in the coordinate systemy-axisthe vertical number line in the coordinate systemCoordinatesany specific (x,y) in the coordinate systemx-interceptwhere the function intersects the x-axisy-interceptwhere the function intersects the y-axis; the b value in a linear functionLinear FunctionA function whose graph is a straight line, where the average rate of change (slope) is constant.Exponential FunctionA function where the average rate of change is not constant and whose input value is an exponent.Table of ValuesA table showing two sets of related numbers<span>Slope of line through the points (-2, 3) and (0,0)
m = (0 - 3) / (0 - -2) = -3/2</span><span>Average Rate of Change on the interval
[-2, 0]</span>Slope: m = "rise over run" = 2Rate of Change<span>Slope of line through the points (5, -1) and (0,0)
m = (0 - -1) / (0 - 5) = -1/5</span><span>Average Rate of Change on the interval
[0, 5]</span><span>Slope of line through the points 
(0, 16) and (4, 21)
m = (21 - 16) / (4 - 0) = 5/4</span>Average Rate of Change over the interval [0,4]
You might be interested in
If x – 10 is a factor of x2 – 8x – 20, what is the other factor?
Svetach [21]

Answer:

The other factor is (x+2)

Step-by-step explanation:

we know that

(x-a)(x-b)=x^{2}-xb-xa+ab

(x-a)(x-b)=x^{2}-(a+b)x+ab

In this problem we have

x^{2} -8x-20

and

a=10 -----> because is a factor

substitute and solve for b

x^{2} -8x-20=x^{2}-(10+b)x+10b

so

8=10+b\\b=-2

Verify in the second equation

-20=10b -----> -20=10(-2) -----> -20=-20--> is ok

The other factor is (x+2)

3 0
3 years ago
Read 2 more answers
A chemist is using 357 milliliters of a solution of acid and water. If 14.3% of the solution is acid, how many milliliters of ac
LekaFEV [45]

Answer:

357 * .143 = 51.051 milliliters or

51 milliliters (rounded)

Step-by-step explanation:

3 0
2 years ago
A rectangle is 1/3 yd long and 2/3 yd wide
ICE Princess25 [194]
It might be 2/9 sorry if it wasn’t
3 0
3 years ago
Estimate then find the sum 437+146
Blizzard [7]
The sum would be 500
8 0
3 years ago
Read 2 more answers
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
NNADVOKAT [17]

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

3 0
2 years ago
Other questions:
  • At what rate was an investment made that obtains $125.37 on $597 over three years?
    13·1 answer
  • Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month,
    5·1 answer
  • The inverse of a function is a function. always /sometimes /never
    9·2 answers
  • Jimmy has 3 yellow pencils, 4 red pencils, 2 green pencils, and 3 blue pencils i his packback. what is the probability thst Jimm
    14·1 answer
  • Find x &amp; y so that quadrilateral is a parallelogram. (Look at image)
    11·1 answer
  • Type the correct answer in each box. Consider the expressions shown below.
    7·2 answers
  • Lin and her brother each created a scale drawing of the backyard, but at different scales. Lin used a scale of 1 inch to 1 foot.
    7·1 answer
  • Pls helppp meee its due in 2:30 pm may 18 help!
    11·1 answer
  • Test plz help thank if you help me
    15·1 answer
  • Toothpicks are used to make a grid 10 toothpicks wide and 8 toothpicks long. How many toothpicks are used in total?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!