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dmitriy555 [2]
3 years ago
12

The table shows the values of a function f(x). What is the average rate of change of f(x) from 1 to 4?

Mathematics
2 answers:
Sav [38]3 years ago
6 0

Answer:

-80

Step-by-step explanation:

The average rate of change is

a.r.c = f(4) - f(1)

        --------------

             4-1

f(4) = 244 and f(1) = 484

a.r.c = 244  - 484

        --------------

             3

        = -240/3

      =-80

eduard3 years ago
4 0

Answer:

The average rate of change of f(x) from 1 to 4 is -80.

Step-by-step explanation:

The average rate of change of f(x) from a to b is defined as

m=\frac{f(b)-f(a)}{b-a}

The average rate of change of f(x) from 1 to 4 is defined as

m=\frac{f(4)-f(1)}{4-1}

m=\frac{f(4)-f(1)}{3}

From the given table it is clear that the the value of the function is 244 at x=4 and 484 at x=1. So f(4)=244 and f(1)=484. Put these values in the above equation.

m=\frac{244-484}{3}

m=\frac{-240}{3}

m=-80

Therefore the average rate of change of f(x) from 1 to 4 is -80.

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Dovator [93]

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

_____

<em>Check</em>

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

  80 + 100 = 180 . . . . . true

_____ _____

<em>Alternate solution</em>

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3

4 0
3 years ago
Help me out help me show some work someone please ??
Finger [1]

Answer:

24$

Step-by-step explanation:

If she ended with 12 $ and she spends half of her money on the mini golf it means that you need to multiply 12 by 2 and you will get 24.

5 0
3 years ago
Which of the following variables is Nominal? Select one: a. Age (in years) b. Age (grouped as: less than 18, 18-29, 30-59, 60 an
Arada [10]

Answer:

c. Car color (e.g. red, blue, grey)

Step-by-step explanation:

There are four level of measurements: Ordinal, Nominal, Interval and Ratio.

  1. Ordinal variables are categorical variables and have a ordered categories. For example,the health of patients: Excellent, Good, Average and Poor.
  2. Nominal variables are also categorical variables but they do not have a ordered category or any numerical value. For example, Gender: Male or Female, or Occupation:, Accountant, Clerk, Manager.
  3. Interval variable are variables that take numerical values. These variables are ordered and  the difference between two values is meaningful. For example, temperature in degrees F.
  4. Ratio variable are type of interval variables but they do not have a variables with a 0 measurement. For example, height, age, money.

Considering all the option:

(a) Age (in years) is an interval variable.

(b) Age grouped as < 18, 18 - 29, 30-59, 60 > are basically ordered categorical variables. Thus, they are ordinal variables.

(c) Car Color (red, blue, grey) are nominal variable because they are not ordered and cannot be measured.

(d) Letter grade in a course (A+, A, A-, B+, B) are also ordinal variables because they are ordered and represent the performance quality of the student.

Thus, the correct answer is (c).

4 0
3 years ago
DURING A REGULAR HALF-HOUR TV SHOW THERE ARE 8 MINUTES OF COMMERCIALS. IF EACH COMMERCIAL IS 0.25 MINUTES LONG HOW MANY COMMERCI
kirza4 [7]
Ok so there are 8 min of commercials and if each commercial is .25 minutes. what I did was 8 × 60 to get how many seconds there were. which = 480 and then I did .25 min × 60 and got 15 so I subtracted 15 from 480 and got 7.75
but it says how many commercials so you have to round to the full commercial and you get 8
so I think the answer is 8 or 7.75.
5 0
3 years ago
Read 2 more answers
Can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,
Pavlova-9 [17]

ORDER FROM LEAST TO GREATEST:

-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.

5 0
3 years ago
Read 2 more answers
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