Answer:
Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:
f(x) > g(x) para todo x ∈ (a, b)
Entonces calculamos:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.
Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.
es decir, si:
f(x) ≥ g(x) para x ∈ (a, n)
g(x) ≥ f(x) para x ∈ (n, b)
entonces el área estará dada por:
[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]
PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY
Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?
Answer: 10.75 currency units
Step-by-step explanation:
The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.
Use direct proportion to solve:
8 : 3
x ; 4.03
Cross multiply to get:
3x = 32.24
x = 32.24 / 3
x = 10.75 currency units
The Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?
Answer:
Two hours
Step-by-step explanation:
The Royal Flush:
$65 + $30(per hour) = $95(for one hour)
$95 + $30 = $125(for two hours
The Leaky Faucet:
$35 + $45(per hour) = $80(for one hour)
$80 + $45 = $125(for two hours)
Therefore, it would take two hours for both of the repair services to have the same total.
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?
Answer:
SMALLER NUMBER = 14
BIGGER NUMNER = 34
Step-by-step explanation:
Two equations can be derived from the question
a + 2b = 62 equation 1
3a - b = 116 equation 2
a = bigger number
b = smaller number
multiply equation 1 by 3
3a + 6b = 186 equation 3
subtract equation 2 from 3
5b = 70
b = 14
substitute for b in equation 1
a + 28 = 62
a = 34
4x + 5 = 3x + 4??????????
4x + 5 = 3x +4
4x - 3x = 4-5
x = -1
value of x is equal to -1
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x +4 (subtract 3x from both sides)
-3x -3x
=1x =0
rewrite: x + 5 = 4 (subtract 5 from both sides)
-5 -5
=0 =-1
Therefore x = -1 (Please mark brainliest hope i helped :)
The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?
Answer: y = 1x + 3
Step-by-step explanation:
If you plot it, you see the slope is 1/1, and the y-intercept is at (0, 3).
Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)
Answer:
Step-by-step explanation:
The relation is not a function!
Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided
The type of correlation not associated with scatterplots is an indefinite correlation
What is correlation?Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Correlation can only be between -1 and 1 but not outside these values.
The types of correlation that we have to include:Hence the type of correlation not associated with scatterplots is an indefinite correlation
Learn more on correlation here: https://brainly.com/question/26172866
4x - 2y + 2x =
I don't know the answer
Answer:
6x -2y
Step-by-step explanation:
4x - 2y + 2x
Combine like terms
4x +2x - 2y
6x -2y
Answer:
6x - 2y
Step-by-step explanation:
Add 4x and 2x
6x - 2y
Hope this helps!
If you need more help with these types of equations, don't be afraid to reach out!
Find the square root
[tex]\longrightarrow{\green{π=3.14}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]
Final Answer: 3.14
Step By Step Explanation:
Simplify The root: Reduce the index of the radical and exponent with 2Calculate The Absolute Value: The absolute of any number is always positive.Alternate Forms:
157/503 7/50☆彡Hannafind the difference between the greatest and the least number of 7 digit formed by 6250 8 4 and 1
Answer:
8,654,210 and 1,024,568
Step-by-step explanation:
biggest number to smallest
Please help me solve my problem!!!
Answer:
180(n-2) or B
Step-by-step explanation:
In ΔSTU, \text{m}\angle S = (2x+10)^{\circ}m∠S=(2x+10) ∘ , \text{m}\angle T = (3x-9)^{\circ}m∠T=(3x−9) ∘ , and \text{m}\angle U = (6x-19)^{\circ}m∠U=(6x−19) ∘ . Find \text{m}\angle T.M∠T.
Answer: [tex]\text{m}\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔSTU, [tex]\text{m}\angle S = (2x+10)^{\circ}[/tex] , [tex]\text{m}\angle T = (3x-9)^{\circ}[/tex], [tex]\text{m}\angle U = (6x-19)^{\circ}[/tex]
To find: [tex]\text{m}\angle T[/tex].
We know that the sum of all the angles of a triangle is [tex]180^{\circ}[/tex].
In ΔSTU,
[tex]\text{m}\angle S+\text{m}\angle T+\text{m}\angle U=180^{\circ}\\\\ 2x+10+3x-9+6x-19=180\\\\ 11x-18=180\\\\11x =180+18\\\\11x=198\\\\x=\frac{198}{11}\\\\ x=18[/tex]
[tex]\text{m}\angle T = (3(18)-9)^{\circ}\\\\=(54-9)^{\circ}\\\\= 45^{\circ}[/tex]
Hence, [tex]\text{m}\angle T=45^{\circ}[/tex]
A soccer ball has an original price of $40. But, the soccer ball is on sale and is now 30% off. How much money will you save?
Answer:
We would have saved $12.
Step-by-step explanation:
First off, we know that the original price is $40.
Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)
40(0.70) = 28
This means that after a 30% discount, the price of the soccer ball is $28.
To find how much we saved, we would subtract $28 from $40.
40-28 = $12
$12 is the amount of money you saved.
IT ISNT THE 1st OR 2nd HELP LOOK AT IMAGE PLEASE
Answer:
Last option
Step-by-step explanation:
First method :
Red Line:
Take 2 coordinates through which the line passes. Let it be (0, 7) and (14, 0).
[tex]slope, m=\frac{ 0-7}{14-0} = -\frac{7}{14} = -\frac{1}{2}[/tex]
[tex]Equation : (y - 7) = -\frac{1}{2}(x)[/tex]
[tex]2y - 14 = -x\\2y + x = 14\\4y + 2x = 28[/tex] [tex][ multiply \ by \ 2 \ on \ both \ sides][/tex]
Blue Line:
Take coordinates through which the line passes.
Let it be (-4, -12) and (-10, -9).
[tex]slope, m = \frac{-9 + 14}{-10} = \frac{5}{-10} = -\frac{1}{2}[/tex]
[tex]equation : (y + 12) = -\frac{1}{2} (x+4)\\[/tex]
[tex]y = -\frac{1}{2}x - 2 - 12\\\\y = -\frac{1}{2}x -14\\\\2y = -x - 28\\\\-2y = x +28[/tex]
Second Method:
From the graph it is clear the lines are parallel. The slopes of line parallel to each other are equal. So convert each equation into standard line equation form :y = mx + b
And check for set of equation whose slope are same.
First set :
[tex]y = 10x - 15 \\\\=> slope = 10\\\\-9x + 2y = 10\\2y = 9x + 10\\\\y = \frac{9}{2}x + 5 => slope = \frac{9}{2}[/tex]
Slopes are not equal.
Second set :
[tex]2y = 2x + 5\\y = x + \frac{5}{2}\\slope = 1\\\\\\3x -4y = -5\\4y = 3x + 5\\\\\y = \frac{3}{4}x + \frac{5}{4}\\\\slope = \frac{3}{4}[/tex]
Slopes are not equal.
Third set :
[tex]y = 3x +10 \\slope = 3\\\\\\2x - 3y = -6\\3y = 2x +6\\\\y = \frac{2}{3}x + 2\\\\slope = \frac{2}{3}[/tex]
Slopes are not equal.
Fourth set :
[tex]2x + 4y = 28\\4y = -2x +28\\\\y = -\frac{1}{2}x + 7\\\\slope = -\frac{1}{2}\\\\\\-2y = x + 28\\\\y = -\frac{1}{2}x - 14\\\\slope = -\frac{1}{2}[/tex]
Slopes are same.
Evaluate 4-2 f when f= 1.
╭═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}}[/tex]
⏩ Substitute the value of 'f' in the equation.
[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]
⏩ The answer will be 2.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
╰══ღ❦ღ═══════╯
Answer:
2
Step-by-step explanation:
If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.
Hope that this helps!
HELP PLEASE I WILL MARK BRAINLIEST
Answer:
i beleive its option number 1
Answer:
first graph
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then g(x) = | x | - 4 is the graph of f(x) shifted down by 4 units
This is represented by the first graph on the left
Please help with these 2 problems, fill in the blank
Answer: a. -6x
b. 3a; -3a2 (square) ; - 6
Step-by-step explanation:
What must be added to f(x) = 4x4 + 2x3 -2x2 +x - 1, so that the resulting polynomial is divisible by g(x) = x2 +2x -3?
Answer:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Step-by-step explanation:
We want to find a polynomial p(x), such that if we add that polynomial to:
f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1
we get:
g(x) = x^2 + 2*x - 3
This is:
f(x) + p(x) = g(x)
Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.
p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e
Then we get:
(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3
We can simplify the left side to:
(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) = x^2 + 2*x - 3
Because in the right side we do not have terms with exponent 4 and 3, we must have that:
4 + a = 0
2 + b = 0
and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:
(-2 + c) = 1
(1 + d) = 2
(-1 + e) = -3
Solving the 5 equations we get:
a = -4
b = -2
c = 1 + 2 = 3
d = 2 - 1 = 1
e = -3 + 1 = -2
Then the equation for p(x) is:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
[tex]V=lwh[/tex]
steps in attachment
Evaluate the expression. 202 + 6(9 + 3) =
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3) =
PEMDAS says parentheses first
202 + 6(12) =
Then multiply
202 +72
Then add
274
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3)
202 + 6(12)
202 + 72
274
Which numbers are irrational numbers?
Select each correct answer.
9√
12−−√
16−−√
20−−√
25−−√
Answer:
Square root of 12
Square root of 20
Step-by-step explanation:
An irrational number contains an infinite decimal.
All other numbers are perfect squares, resulting in whole numbers.
The square root of 9 is 3 because 3 × 3 = 9.
The square root of 12 is 3.464....
The square root of 16 is 4.
The square root of 20 is 4.472....
The square root of 25 is 5.
I am not sure why but it is causing me grief: "John walked 10 miles on Saturday. He walked twice as fast on the second 5 miles of his walk than he walked on the first 5 miles of his walk. Which expression represents the time he spent walking? Let x = John's speed on the first half of his walk."
Answer:
The total time spent in walking is [tex]\frac {15}{2x}[/tex].
Step-by-step explanation:
The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.
Total distance covered by John = 10 miles
Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.
Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.
So,
[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]
The total time spent in walking is
[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]
Smising, pharming and phishing are three security threats that can occur when using the internet
for shopping. When the user types in a URL they are directed to a fake website. *
A ) Phishing
B ) Pharming
c ) Smishing
Answer:
B ) Pharming
Step-by-step explanation:
When the user types in a URL they are directed to a fake website this is known as Pharming. This is one of many cyber attacks and usually occurs from a virus that has found it's way into your personal computer or server. The harmful virus basically waits until you open your internet browser and type in a URL to a specific website. Instead of taking you to that correct website it will take you to a replica site which will send all the information that you input, back to the creator of the virus. This is done so that they can obtain all of your personal information including bank details.
Please help me I would really appreciate it, If you can't that is okay but please try
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers:
Blank 1 = p and q
Blank 2 = Consecutive interior angles converse
=================================================
Explanation:
There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.
The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse
If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.
A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.
===========================================================
Explanation:
set A = dice values greater than 4 = {5,6}
set B = dice values 4 or less = {1,2,3,4}
Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.
There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3
Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.
a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?
b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?
Answer:
Es ydjwj rjsbt djeiweke
Given the function
F(x)=
Answer:
Replace all the (x) values with the Values "-1, 0, 2" to get your answers
Step-by-step explanation:
4(-1)+4 (-1) < 0
f(-1)= 4(-1)+4 (-1) > 0
f(-1)= 4x+4 x < 0
f(0)= 4x +8 x>/_ 0
f(2)= 4x +8 x>/_ 0
∆ABC has coordinates A(3, 1), B(5, 5) and C(4, 1). After a translation, the coordinates of A' are (0,0). What are the coordinates of B' and C'?
Answer:
B'(2,4) & C'(1,0)
Step-by-step explanation:
According To the Question,
Given, We have an ∆ABC that has coordinates A(3, 1), B(5, 5) and C(4, 1).
Now, After a translation, the coordinates of A' are (0,0) .
Then, the coordinate of B' & C' Also changes the same as like A' .
A(3,1) ⇒ A'(0,0) {here from x-axis it reduce 3 and from y-axis it reduce 1}
Same as Above,
B(5,5) ⇒ B'(2,4)
&, C(4,1) ⇒ C'(1,0) .
