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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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.
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
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?
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
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]
Answer:
See the attachedStep-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.
twice the sum of j and 4
Answer:
J+4*2
Step-by-step explanation:
HELP PLEASE PLEASE PLEASE
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 = - 6Step-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?
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.
Fill in the blanks. This is important
in ce clasa ești tu??????
(4,1) slope = 2 , point slope form
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!
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how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
Please help. Mathematics.
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.
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.
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!
Step-by-step explanation:
Standard polynomial is:
[tex] - 20 {x}^{3} - 3 {x}^{2} + 4x[/tex]
Leading co effecient is:
-20
помогите пж а то мне купец я не могу решить умоляю вас
Answer:
hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs
what's
[tex] {3}^{4} [/tex]
What is the value of 3⁴
SOLUTION:▶️ 3⁴ = 3×3×3×3
▶️ 3⁴ = 81
ANSWER:The value of 3⁴ is 81..
What's the slope of the table
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
6(-5x - 16) = 30y + 84
Solve 3(x + 1) + 6 = 33
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.
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
Answer:
Step-by-step explanation:
5. Putting value of m = 3
m2 - 3m + 2
(3)2 - 3(3) + 2
6 - 9 + 2
= - 1
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
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 :)
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
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
Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0
Show how you got that answer
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.
Simplify (4y - 3x - 2) - (7y + 4x + 3)
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
What is 2/10, 2/5, and 2/20 ordered form least to greatest?
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
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).
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
Solve and graph the inequality. Show all your work. Upload a picture of your work.
x + 8 > 5
Answer:
x > -3
Step-by-step explanation:
x + 8 > 5
-8 -8
x > -3
I hope this helped you :)
A. 25-3x=40
Answer: x =
its a neg #
Answer:
-3x= 40-25
-3x=15
x=15÷3
x=5
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?
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 and y intercept??
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
Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division
Saan po yung divisor?
Kailangan ko po
I looks better also whats 7% of 798 explain
Answer:
cappppppppppp
Step-by-step explanation:
jp wyd homie