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
BlackZzzverrR [31]
3 years ago
10

The table below shows the function f.

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
7 0

Answer:

A. 11

Step-by-step explanation:

The average rate of change of the given function over the interval [2,6] is simply the slope of the secant line connecting the point (2,f(2)) and (6,f(6)).

This implies that, the average rate of change over [2,6]

=\frac{f(6)-f(2)}{6-2}

=\frac{f(6)-f(2)}{4}

From the table f(6)=71

Since we want the average rate of change to be 15, we have;

15=\frac{71-f(2)}{4}

This implies that;

4\times15=71-f(2)

60=71-f(2)

60-71=-f(2)

-11=-f(2)

11=f(2)

The correct choice is A.

Naya [18.7K]3 years ago
3 0

Answer:  The correct option is (A) 11.

Step-by-step explanation:  Given the following table that shows the function f :

x      2    3     4     5     6

f(x)   ?   15    23   39   71

We are to determine the value of f(2) that will lead to an average rate of change of 15 over the interval [2, 6].

We know that

the rate of change of a function g(x) over an interval [a, b] is given by

R=\dfrac{g(b)-g(a)}{b-a}.

From the table, we note that

f(6) = 71  and  f(2) = ?

So, the rate of change of the function f(x) over the interval [2, 6] is given by

R=\dfrac{f(6)-f(2)}{6-2}\\\\\\\Rightarrow 15=\dfrac{72-f(2)}{4}\\\\\Rightarrow 15\times4=72-f(2)\\\\\Rightarrow 60=71-f(2)\\\\\Rightarrow f(2)=71-60\\\\\Rightarrow f(2)=11.

Thus, the required value of f(2) is 11.

Option (A) is CORRECT.

You might be interested in
If 12 computers cost $42, how many computers can |<br> buy with $35?
Ahat [919]

Answer:

10 is the answer hope this helps :)

7 0
2 years ago
Sam has 35 rubbers.He wants to share them equally between 3 of his friends .How many will each friend receive?How many are left
Nitella [24]

Answer:

11 will be shared out and there will be 2 rubbers left.

Step-by-step explanation:

the last number that 3 goes into before 35 is 33. 33 ÷ 3 = 11. So each friend gets 11 rubbers. then from 33, there will be 2 rubbers left.

5 0
3 years ago
Help me please I don’t know it
avanturin [10]
C both of these is correct
4 0
2 years ago
7. The dimensions of a lawn shaped like a trapezoid are given in meters.
Veronika [31]

Answer:D:102

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (
yuradex [85]

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

8 0
2 years ago
Read 2 more answers
Other questions:
  • 2,500 into a scientific notation
    6·2 answers
  • Path A and B are walking paths used for horses. Path A is 118 feet long. Path B is 180 feet long. Carlos walks his horse down ra
    5·1 answer
  • Can someone please help me find DC?
    9·2 answers
  • A circular rug has a diameter of 6 feet. What is the area of the rug?
    8·1 answer
  • Jeremy weighs 60 pounds. Marilyn weighs 19 pounds. How much heavier is Jeremy than Marilyn​
    11·2 answers
  • Dont answer tell pic is uploaded
    10·1 answer
  • 2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.
    7·2 answers
  • If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.
    12·1 answer
  • 1. Who authored the web page? How do you know?
    9·2 answers
  • Alyssa walked 1.34 fewer miles than Emily. Alyssa walked 7.45 miles. How many miles did Emily walk?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!