what is the approximate value of x when f(x) = g(x)

Answers

Answer 1

Answer:

I'm a little confused by this question:

Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.

What is an approximate value of g'(1.1)?

So I know L(x)=f(a)+f′(a)(x−a)

If I substitute items in, I get g′(x)+g′′(x)(x−x).

Since x−x=0 I always am going to end up with L(x)=g′(x)

I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?

I'm completely lost here because these are the followup question after the one above:

Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.

Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.

Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.

What did using the second derivative do to the approximation?

Do you believe the approximation is better or worse than our original?

Step-by-step explanation:


Related Questions

A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales. ​

Answers

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-94−94minus, 94 242424
-74−74minus, 74 181818
-54−54minus, 54 121212
What is the xxx-intercept of the line?
((left parenthesis
,,comma
))

Answers

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

[tex]m = -\frac{6}{20} = -0.3[/tex]

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

rate plsss

if 6 people share 31 apples equally, how many apples should each person get ?

Answers

Answer:

5 apples

Step-by-step explanation:

[tex]\frac{31}{6}=5.16666667[/tex]

Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.

The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.

Answers

Answer:

35 hours

Step-by-step explanation:

A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?

14 m

40 m

28 m

26 m please help me

Answers

given:

9 m length and 5m width.

to find:

perimeter

solution:

perimeter of rectangle= l+l+b+b

= 9+9+5+5

= 28m

Find the value of n x 5 when n=8

Answers

Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

I hope this helps and please mark me as brainliest!

The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain? A. {2, 4} B. {-2, -4} C. {12, 14} D. {-12, -14} E. {0, 5}

Answers

Answer:

The answer is A. {2,4}

Step-by-step explanation:

I took the test on edmentum. 100%

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answers:

Class C has the least variabilityClass B has the highest scores on average

========================================================

Explanation:

The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.

Answer:

Class C has least variability and Class B has highest variability.

I think it will help you

Range= Large- Small Data

You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
inches across at the widest point. how many cubic inches of water is needed to
fill the glass? enter the answer exactly as it appears on your calculator. no
rounding this time.

Answers

Answer:
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.

M - 125, find the measure of

Answers

Answer:

125

Step-by-step explanation:

Assuming the lines are parallel :

n = 180-125

= 55

x = n

x = 55

z = 180-55

= 125

If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).

Answers

What we know:      

[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]                

(Also, [tex]3^2=9[/tex])

What we need to solve:

[tex](f-g)(x)[/tex]             (This is equal to [tex]f(x)-g(x)[/tex])

How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:

[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]

Thus, the answer would be:

[tex]12x+5[/tex]

Which statement describes the value of the expression 7 times (24,672 - 589)?

Answers

Answer

168,581

________________________________________________________

Solve

Follow PEMDAS

parenthesesexponentsmultiplicationdivisionadditionsubtraction

Always start with the top of the list, parentheses. Prioritize anything in parentheses.

[tex](24,672 - 589)[/tex]

start in hundreds place, then subtract from there.

[tex](24,672 - 589) = 24,083[/tex]

Next, multiply by 7.

[tex]24,083 * 7 = 168,581[/tex]

________________________________________________________

Questions?

Ask in the comments box.

Dallas made two pies for Thanksgiving in identical pie tins. 3/8 is left of one pie, and 2/3 is left of the other. Will all the leftover pie fit in one pie tin?

answer choices
a. yes, because 3/8 + 2/3 is less than 1
b. yes, because 3/8 is less than 2/3
c. no, because 3/8 + 2/3 is more than 1
d. no, because 2/3 is more than 3/8​

Answers

3/8 = 0.375

2/3 = 0.667


0.375 + 0.667 = 1.042


answer : c. no, because 3/8 + 2/3 is more than 1

Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

Learn more about finding the tangent of a circle here:

https://brainly.com/question/16507124

one sixth of a number is 9 algebraic expression​

Answers

Answer:

x= 54

Step-by-step explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

Given ↓The verbal phrase → one-sixth of a number is 9To find ↓The algebraic expression of the verbal phraseCalculations ↓

One-sixth can be written as [tex]^1/_6[/tex]

now, let the number be y

so one-sixth of y is written as

[tex]^1/_6~y~=~9[/tex]

If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓

[Solving for y]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

[tex]^1/_6*6~y~=~9~*~6}[/tex]

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54

Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell?
How much money did it cost Andre to make this amount of lemonade?
How much money did Andre make in profit

Answers

Answer:

18 cups of lemonade

Step-by-step explanation:

so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups

A line passes through the point (-9, -3) and has a slope of 2.
Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.

Answers

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

How to write the fraction?

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Bradley bought 8 quarts of lemonade. How many cups did Bradley buy?

Answers

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

bradley bought 32 cups. there are 4 cups in a quart

Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate

Answers

Answer:

12 eggs/carton

Step-by-step explanation:

The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2

Answers

7 and 1/2 in simplest form.

Find the surface area of the triangular prism shown below.

Answers

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

The sign on a bridge says that its weight capacity is 2.5 tons. A large truck weighs 6,240 pounds. How many pounds can the bridge hold?

HELP ME ON THIS GUYS PLSSS​

Answers

We have 1 ton = 2000 pounds
So 2.5 tons = 2.5x 2000 = 5000 pounds
Therefore the bridge can hold 5000 pounds

2000 pounds =1ton

to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)

[2000pounds = 1ton]

1.5x2000 =3000(this is to go from ton to pound

just multiply the tons by 2000

6240 divided by 2000=3.12 tons

2.5tons x 2000=5000

hope this helps

PLS HELP ITS ONLY 2 QUESTIONS

For number 6, Cylinder formula 3.14r^2*h (h=height)

For 5, pyramid formula 1/3b*h

5) base=33
Length=34
Height=21



6) pi=3.14
Radius=20
Height=31

Answers

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!


What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP ASAP 20 POINTS!!!

Answers

Answer:

D, I think…

Step-by-step explanation:

I used PEMDAS to go through and simplify and see which values match.

A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price

Answers

Answer:

4.06 i think

Find the sum of
-3/7 and its opposite

Answers

Shouldn’t it be zero correct me if I’m wrong, because The sum of any integer and its opposite is equal to zero.

Complete the reasons for the proof.
given:

m 3 = m 4

Prove 1 and 2 are supplementary

Answers

Answer:

m3 and m4 are supplementary

Step-by-step explanation:

since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below

Timothy has a model of an armoured vehicle created using a scale of 1 : 72. If the length of the model is 3.3 inches, what is the actual length of the ed. e Limit vehicle, in feet?

Answers

Answer:

Length of armoured vehicle:  19.8 ft

Step-by-step explanation:

1 is to 3.3 in as 72 is to x:

   1         72

-------- = --------

 3.3         x

This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):

Length of armoured vehicle:  19.8 ft

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