Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3.1 is

O 0.1.

O 1.

O 10.

O 100

Answers

Answer 1

The approximate change in the value of the function will be 10. Then the correct option is C.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = x² + 4x - 1

The average rate is calculated as,

Average rate = [f(3.1) - f(3)] / [3.1 - 3]

Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1

Average rate = (21.01 - 20) / (0.10)

Average rate = 1.01 / 0.10

Average rate = 10.1

Average rate ≈ 10

The approximate change in the value of the function will be 10. Then the correct option is C.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

#SPJ5


Related Questions

5. A cube has width of 8 cm. What is the volume of the cube?
Anyone got an answer?

Answers

Answer:

8×8×8 =512

Step-by-step explanation:

prove me wrong

Answer:

512 cm

Step-by-step explanation:

the formula to find volume is length × width + height (L×W×H) and since it is a cube all of the sides are equal so simply multiple 8 × 8 × 8 to get 512

A 16-ounce bag of cereal costs about $2.88. What is the unit rade of the cereal?

Answers

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

The family's covered wagon was 6.5 feet wide, 12 feet long,
and 3.5 feet high. What is the volume of the wagon?

Answers

Answer:

V=273

Step-by-step explanation:

V=L*W*H

V=12*6.5*3.5

V=273

V=273 you need to find you LxWxH

What’s given?, what’s something else we can figure out?, Can we prove these congruent?

Answers

Answer: TnT down

Step-by-step explanation:

What's given?

EG ≅ FG

∟EFG ≅ ∟FGH

What's something else we can figure out?

∠FGE ≅ ∠GFH - alternate interior angles

Can we prove these congruent?

We can prove this congruent by using AAS

Geez I think I'm losing my touch but I hope this is correct and it helped!

there were a hundred pounds of boxes for every 54 lb of packing and if a factory used 260 lb of packing how many pounds of boxes did the
factory use​

Answers

9514 1404 393

Answer:

  481.5 (rounded to tenths)

Step-by-step explanation:

Boxes are proportional to packing, so we have ...

   (pounds of boxes)/(pounds of packing) = b/260 = 100/54

Multiplying by 260 gives ...

  b = 260(100/54) = 26000/54 = 481.481481...

About 481.5 pounds of boxes were used.

Can Someone help me?

Answers

I think the answer is A. 3.

B. no, to big a number

C. no, to small a number

D. no, again, too big a number.

Have a nice day and hope this helps!

Can someone help with this? I’m offering high amount of credits for the answers.

Answers

Answer:

jn and lp

Step-by-step explanation:

jn lp i’m so sorry if i’m incorrect

What is a formula for the nth term of the given sequence? 48, 72, 108​

Answers

Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]

The surface area "S" of a sphere of radius ris given by the forma
S=4pir^
Find (i) the surface area of a sphere whose radius is 5 cm.​

Answers

The answer is 314.16

Can someone explain how to work this out please ?

Answers

Answer:

x=4

Step-by-step explanation:

f(x) = (x-2)^5  +3

Let f(x) = 35

35 = (x-2)^5  +3

Subtract 3 from each side

35-3 = (x-2)^5  +3-3

32 = (x-2)^5

Take the fifth root of each side

32 ^ (1/5) =  (x-2)^5^ 1/5

2 = x-2

Add 2 to each side

2 +2 = x-2+2

4 =x

what is the vertical asymptote of f(x)= 7/ x + 5

Answers

Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

Which of the tables represents a function? (5 points) Table A: Input 3 3 2 Output 1 4 3 Table B: Input 2 5 2 Output 7 6 9 Table C: Input 1 7 7Output 5 2 3 Table D: Input 3 1 8Output 4 5 5 a. Table A b. Table B c. Table C d. Table D

Answers

Answer:

The answer is Table B. Because only table B. doesn't have repeating x or domain.

A university's freshman class has 7600 students. 55% of those students are majoring
in Economics. How many students in the freshman class are Economics majors?

Answers

Answer:

4180

Step-by-step explanation:

55% of 7600 is 4180

2.
Determine the discriminant and identify the number and type of solutions to the equation
4x2 + 12x = -9,
A 288; 2 real solutions
B. 0; 1 real solution
C. 108; 2 real solutions
D. 92; 2 imaginary solutions

Answers

Imnhnbbbvbbj do gag by bed tyyy

The graph of a linear system is shown. what is the solution to this linear system? Enter a value in each box to create an ordered pair.​

Answers

I believe it’s (2,3) ??

Answer:

2,3

Step-by-step explanation:

I need help with this question

Answers

The hypotenuse is 15
The opposite is 12
The adjacent is 9


Work out the percentage change when a price of £40 is decreased to £18.

Answers

It’s a 55% decrease

Drag each percent to match the situation. Each percent may be used only once.

Answers

Answer:

#1 is 80% #2 is 95% #3 is 33⅓% #4 is 15%

Step-by-step explanation:

divide the smaller # by the bigger number, giving you a decimal. move the decimal 2 times to the right and that is your percentage.

Find mZABD.
D
20°
B
С
o
mZABD

Answers

Answer:

The answer is 20.

Step-by-step explanation:

#>×==×

the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with

Answers

Answer:

it started off with 7 members

(read the whole explanation)

Step-by-step explanation:

Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.

If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,

hope this helps!!!!

Mary's Muffins makes 300 muffins on Thursday mornings. On Fridays, they make 10 times as many muffins as they do on Thursdays. How many muffins does Mary's Muffins make on a Friday? *​

Answers

Answer: 3,000

Step-by-step explanation: 300 x 10 = 3000

Answer:

3000

Step-by-step explanation:

300+300=600+300=900+300=1200+300=1500+300=1800+300=2100+300=2400+300=2700+300=3000

please help it is due at 4:15

Answers

Answer:

$2720

Step-by-step explanation:

Interest = P×R×T /100

= 2000×12×3 /100

=72000/100 = $720

Amount = Principal + Interest

= $2000+$720 =$2720

The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line

Answers

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

70.50 - 52.01 - 0.22 =
Help I got it wrong and I dont know how to do the problem

Answers

ok so first 70.50-52.01= 18.49 - .22= 18.27

Answer:

18.27

Step-by-step explanation:

70.50-52.01- 0.22

18.49-0.22

18.27

Monique and Roger will go skiing only if the temperature drops by 5 degrees Celsius. Currently, the temperature is 3 degrees Celsius. Which of the following shows how cold it must be, in degrees Celsius, for them to go skiing?

A.
3 - 5 = 3 - (+5) = 8

B.
3 - 5 = -(3 + 5) = -8

C.
3 - 5 = 3 + (-5) = -2

D.
3 - 5 = 5 - 3 = 2

Answers

I’m sure the answer is b



2÷2=????? Hurry
ppls help hurryy6yyyyyyyyyyyy6yyyyyyyy6yyyyy​

Answers

Answer:

2÷2=1

Step-by-step explanation:

That's the answer

Answer:

2÷2=1

Step-by-step explanation:

2 divides by 2 = 1

that's the answer

?? anyone know thank you

Answers

Answer:

19/20 is the correct answer

Answer:

19/20 quart

Step-by-step explanation:

the denominator should be the same so find some thing that is common to 4 and 5 so 20 and find what 4 in to 20 go 5 times so multiply 5×3=15 and 4×1=4 so add them together 15+4 = 19 so put 19 and 20 together equal 19/20

On the graph shown, what is f(-1)?

Answers

Answer:

where is the graph?

Step-by-step explanation:

hey there, there’s no graph to help out:)

7207689984 !!!!!!!!!!!!!!

Answers

Answer:

838494393928262829292928288!!!!!!!!!!!!!!!$

How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles

Answers

Answer:D is the answer

Step-by-step explanation:

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