How do you find the area of a graph and a line?

Answers

Answer 1

To find the area of  a graph and a line, you need to use the integral calculus formula.

Specifically, you will use the definite integral. The definite integral of a function f(x) over an interval [a, b] is given by the formula:

Integral of f(x)dx = F(b) - F(a)

Where F(x) is the antiderivative of f(x). To find the area of a graph, you will first need to find the antiderivative of the function. Then you will substitute the a and b values of the interval into the formula. Finally, subtract F(a) from F(b) to find the area of the graph. To find the area of a line, you will need to use the same formula. However, since the line is a straight line, the antiderivative of the line is simply the equation of the line, so the formula simplifies to:

Integral of f(x)dx = (mx + c)b - (mx + c)a

Where m is the slope of the line, and c is the y-intercept. After plugging in the a and b values of the interval, subtract (mx + c)a from (mx + c)b to find the area of the line.

Learn more about integral calculus here:

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Related Questions

twice the sum of j and 4

Answers

Answer:

J+4*2

Step-by-step explanation:

(4,1) slope = 2 , point slope form

Answers

Answer:

y-1=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-4)

Answer:

[tex]y=2x-7[/tex]

Step-by-step explanation:

[tex]y=2x-7[/tex]

Hope I helped!

Check out my profile for more answers!

What’s the slope and y intercept??

Answers

Answer:

The y intercept is (0,0) and the slope is 1

Step-by-step explanation:

Its (0,0) because thats where the line crosses on the y axis.  For the slope you do rise over run, you rise once and run once to the next solid point or place.

Refer to the attachment for better understanding

The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?

Answers

Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.

The answer is 7/12

What's the slope of the table

Answers

Answer:

8 3 5 4 6 8 8 4 8 8. 8 8 8 8 8 8 8 7 7 7 7 77 7 4 4. 5 8

A. 25-3x=40

Answer: x =
its a neg #

Answers

minus 25 on both sides which gives -3x = 15 divide by -3 which means x =-5

Answer:

-3x= 40-25

-3x=15

x=15÷3

x=5

Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).

Answers

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

HELP PLEASE PLEASE PLEASE

Answers

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

         x + 2y = - 6

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]

Slope-intercept form  y = mx + b

[tex]y=-\frac12x-3[/tex]        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

What does the problem 37( 253,080 equal?​

Answers

Answer:

so confused like what is this

Step-by-step explanation:

Answer:

9363960

Step-by-step explanation:

The calculator says otherwise -.-

but yeah, hope it helps.

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Answers

Saan po yung divisor?

Kailangan ko po

Solve 3(x + 1) + 6 = 33

Answers

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3(x + 1) = 33 - 6[/tex]

2) Simplify 33 - 6 to 27.

[tex]3(x + 1) = 27[/tex]

3) Divide both sides by 3.

[tex]x + 1 = \frac{27}{3} [/tex]

4) Simplify 27/3 to 9.

[tex]x + 1 = 9[/tex]

5) Subtract 1 from both sides.

[tex]x = 9 - 1[/tex]

6) Simplify 9 - 1 to 8.

[tex]x = 8[/tex]

Therefor the answer is, x = 8.

What is 2/10, 2/5, and 2/20 ordered form least to greatest?

Answers

Step-by-step explanation:

2/20, 2/10 , 2/5

set them all to the same denominator of 20:

2/20, ,4/20, 8/20

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

6(-5x - 16) = 30y + 84

Answers

Answer:
-6

Explanation:

Please help. Mathematics.

Answers

Step 4 cause 1.4116*800=1129.28.
step 4, so sorry if wrong!!!

Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.

1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]

Answers

Answer:

See the attached

Step-by-step explanation:

y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)

Regions covered by each functions are shaded and the intersection also shaded and marked.

The white area in the graph is the out of range region.

Answer:

  {(1, 0), (2, 0), (2, 1)}

Step-by-step explanation:

In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.

Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?

Answers

Answer:

Starting number= 120

Step-by-step explanation:

Giving the following information:

After selling 65% of her lacrosse sticks, she has 42 sticks left.

To calculate the starting number of lacrosse sticks, we need to use the following formula:

Starting number= sticks left / proportion of sticks on stock

Starting number= 42 / 0.35

Starting number= 120

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!

Answers

Step-by-step explanation:

Standard polynomial is:

[tex] - 20 {x}^{3} - 3 {x}^{2} + 4x[/tex]

Leading co effecient is:

-20

4. the following are the varriables in the term 10xyz Except

5. Evaluate the given algebric expression m2 - 3m + 2 if m =3.

6.What is the value of the varriable so that the algebraic expression s2 - 16 will result to 0.

help plsss​

Answers

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

The answer is -1 pretty sure

I looks better also whats 7% of 798 explain

Answers

7% of 798 is 55.86.

Answer:

cappppppppppp

Step-by-step explanation:

jp wyd homie

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0

Show how you got that answer

Answers

Answer:

x=(5+√73)/2 or x=(5-√73)/2

Step-by-step explanation:

a=1 b=-5 c=-12

x= (-b+/-√b^2-4ac)/2a

x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)

x= (5+/-√25-4(-12))/2

x= (5+/-√25+48)/2

x= (5+/-√73)/2

x=(5+√73)/2 or x=(5-√73)/2

√: This symbol represents the square root if you get confused.

Fill in the blanks. This is important

Answers

in ce clasa ești tu??????

помогите пж а то мне купец я не могу решить умоляю вас​

Answers

Answer:

hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs

Simplify (4y - 3x - 2) - (7y + 4x + 3)

Answers

Answer:

-7x - 3y -5

Step-by-step explanation:

Answer:

-7x - 3y - 5

Step-by-step explanation:

In this question, you will simplify the expression given.

Solve:

(4y - 3x - 2) - (7y + 4x + 3)

Use the distributive property.

4y - 3x - 2 - 7y - 4x - 3

Combine like terms.

4y - 3x - 2 - 7y - 4x - 3

-7x + 4y - 2 - 7y - 3

-7x - 3y - 2 - 3

-7x - 3y - 5

Since we can't simplify further, your final answer would be -7x - 3y - 5

An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.

Part A

Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.

Part B

How many weeks will it take for the baby elephant to weigh 1197lbs?

Enter your equation, your answer, and your work or explanation in the space provided.

Answers

Answer:

Part A: W= (1197- 209)/ 38

Part B: 26 Weeks

Step-by-step explanation:

Part A:

We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take

Part B:

W= (1197- 209)/ 38

W= 988/ 38

W= 26

Solve and graph the inequality. Show all your work. Upload a picture of your work.

x + 8 > 5

Answers

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box. ​

Answers

Answer:

580 cm^2

Step-by-step explanation:

First, find the area of the front and back. 20*10=200

There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400

Then, the sides. 3*20=60*2=120

Then, the top and bottom 10*3=30*2=60

400+120+60=580

Answer:

420

Step-by-step explanation:

60+60+30+30+120+120

hope this helped :)

how much grams are in a milligram ​

Answers

there are 1000 milligrams in 1 gram

Hope this helps


For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32

Answers

Answer:

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k or y= k/x

in this problem we have that

the value of the constant K is equal to 8

so

pv=8

Solve for V

v=8/p

Find the value of V for p=4

substitute the value of P in the formula

v=8/4=2

therefore

the answer is

the value of V is equal to 2

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