En matemáticas, la pendiente de una línea ( m ) se describe cómo rápidamente o lentamente cambiar se está produciendo y en qué dirección, ya sea positiva o negativa. Funciones-aquellos lineales cuya gráfica es una línea recta-tienen cuatro posibles tipos de pendiente: positivos , negativos, cero , e indefinido. Una función con una pendiente positiva está representada por una línea que sube de izquierda a derecha, mientras que una función con una pendiente negativa se representa por una línea que va hacia abajo de izquierda a derecha. Una función con pendiente cero está representado por una línea horizontal, y una función con una pendiente indefinida está representada por una línea vertical.
La pendiente se expresa normalmente como un valor absoluto. Un valor positivo indica una pendiente positiva, mientras que un valor negativo indica una pendiente negativa. En la función y = 3 x , por ejemplo, la pendiente es positiva 3, el coeficiente de x .
En estadística, un gráfico con una pendiente negativa representa una correlación negativa entre dos variables. Esto significa que como una variable aumenta, la otra disminuye, y viceversa. Correlación negativo representa una relación significativa entre las variables x e y , que, dependiendo de lo que son el modelado, puede entenderse como entrada y salida , o causa y efecto .
¿Cómo encontrar la pendiente
pendiente negativa se calcula igual que cualquier otro tipo de pendiente. Lo puede encontrar dividiendo la subida de dos puntos (la diferencia a lo largo del eje y vertical u) por la carrera (la diferencia a lo largo del eje x). Sólo recuerda que la “subida” es en realidad una caída, por lo que el número resultante será negativo.
m = (y2 - y1) / (x2 - x1)
Una vez que se representa gráficamente la línea, verá que la pendiente es negativa porque la línea bajará de izquierda a derecha. Incluso sin dibujar un gráfico, usted será capaz de ver que la pendiente es negativa, simplemente calculando m utilizando los valores dados para los dos puntos.
Por ejemplo, la pendiente de una línea que contiene los dos puntos (2, -1) y (1,1) es:
m = [1 - (-1)] / (1 - 2)
m = (1 + 1) / -1
m = 2 / -1
m = -2
Una pendiente de -2 significa que por cada cambio positivo en x , habrá el doble de cambio negativo en y .
= Pendiente negativa correlación negativa
Un negativo pendiente demuestra una correlación negativa entre los siguientes:
las variables x e y
entrada y salida
variable independiente y la variable dependiente
causa y efecto
Correlación negativa se produce cuando las dos variables de un movimiento función en direcciones opuestas. A medida que el valor de x aumenta, el valor de y disminuye. Del mismo modo, como el valor de x disminuye, el valor de Y aumenta. Correlación negativa, entonces, indica una clara relación entre las variables, es decir, uno afecta al otro de una manera significativa.
En un experimento científico, una correlación negativa mostraría que un aumento en la variable independiente (el manipulado por el investigador) causaría una disminución en la variable dependiente (la medida por el investigador). Por ejemplo, un científico podría encontrar que a medida que los depredadores se introducen en un entorno, el número de presas se hace más pequeño. En otras palabras, existe una correlación negativa entre el número de depredadores y número de presas.
Ejemplos del mundo real
Un ejemplo sencillo de pendiente negativa en el mundo real está bajando una colina. Cuanto más lejos esté de viaje, cuanto más abajo se le cae. Esto puede ser representado como una función matemática, donde x es igual a la distancia recorrida y Y es igual a la elevación.
Otros ejemplos de pendiente negativa demuestran la relación entre dos variables:
Sr. Nguyen bebe café con cafeína dos horas antes de su hora de dormir. Los más tazas de café bebe (entrada), el menor número de horas que van a dormir (salida).
Aisha es la compra de un billete de avión. El menor número de días entre la fecha de compra y la fecha de salida (entrada), más el dinero Aisha tendrán que gastar en pasajes de avión (salida).
John está gastando una parte del dinero de su último cheque de pago en regalos para sus hijos. Cuanto más dinero gasta John (entrada), menos dinero John tendrá en su cuenta bancaria (de salida).
Mike tiene un examen al final de la semana. Desafortunadamente, él prefiere pasar su tiempo viendo deportes en la televisión que estudiar para el examen. Cuanto más tiempo pasa viendo la televisión Mike (entrada), la puntuación del Mike menor será en el examen (de salida). (En contraste, la relación entre el tiempo dedicado al estudio y la puntuación de examen estaría representada por una correlación positiva, ya que un aumento en el estudio conduciría a una mayor puntuación.)
Need help finding the missing angle measure
Answer:
125
Step-by-step explanation:
(n-2)180
(6-2)180
=720
720-120-110-100-130-135
=125
Answer:
Step-by-step explanation:
It is a six sided figure sum of all angles should be 720 degree.
595 +x=720
x=720-595
x=125 degree
Another method
Sum of interior angles of a polygon is
= (n-2)×180=(6-2)×180= 720 degree
What is the probability of obtaining two heads in a row when flipping a coin?
Answer:
0.25000
Step-by-step explanation:
2-[ 9 --[17:13]13
-2 07
08
13. What is B-CF?
-E-1
23 6.5
A.
- 11.4 44
-21 1.5
B.
12 -41]
26 8 -37
C.-7.4 51 56
25 -6 10
-19 6.5
D.
-6 -38]
please help me asap
Answer:
3)7/12
4)2*14/25
5)25
hope my effort will help you in some way
Answer:
Step-by-step explanation:
3) [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3
[tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]
4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]
[tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]
5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]
= 5 * 5
= 25
Corey bought 56 boxes of tiles from the Home Improvement store which was 4/7 of the total number of boxes that they had how many boxes of tiles does a store have
Answer:
a store haves 98 boxes of tiles
what is the inverse operation of add 5 ?
Answer:
Step-by-step explanation:
Subtract 5
Answer:
Example: Addition and subtraction are inverse operations
Adding and subtracting fractions show the working and answer
Answer:
1) 1/2
2)7/10
3)11/12
4)4/96
5)43/30
6)5/40
I will do one only. You gotta do your own homework.
Emma and her children went into a restaurant where they sell hotdogs for $4 each and drinks for $1.50 each. Emma has $30 to spend and must buy no less than 9 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
6 hotdogs and 4 drinks
Step-by-step explanation:
4x + 1.50y = 30
For questions like this, you can do the equation that represents the price of the products first.
x + y [tex]\geq[/tex] 9
After that, you can write the equation that represents the quantities.
Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:
The first equation:
4x + 1.50y =30
*Subtract 4x from both sides, which leads to:
1.50 y = -4x + 30
*Divide by 1.50 on both sides, which leads to:
y = -2.66x + 20
The second equation:
x + y [tex]\geq[/tex] 9
*Subtract x from both sides, which leads to:
y [tex]\geq[/tex] -1x + 9
Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.
Here is the graph: (it is attached as a file)
You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.
Answer:
[tex]y\geq 9-x[/tex] shaded up
[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down
4 hotdogs, 8 drinks
Step-by-step explanation:
Miguel divided 205 oranges evenly into 5 boxes. How many oranges were in each box?
Answer:
41
Step-by-step explanation:
205 divided by 5=41
Answer:
The Answer is 41 oranges in each box
When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices random uniform logistic clumped
Complete question is;
When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices
A) random distribution pattern
B) uniform distribution pattern
C) logistic distribution pattern
D) clumped distribution pattern
Answer:
D: Clumped Distribution Pattern
Step-by-step explanation:
Looking at the options, the correct option is Clumped distribution pattern.
This is because in density and dispersion phenomenon, Clumped patterns will normally occur when resources get concentrated in small areas within a larger habitat or due to individuals that form social groups. However,on large spatial scales, majority of organisms will likely have clumped distributions mainly because their habitats are not distributed uniformly over wide areas.
Complete each congruent statement by naming the corresponding angle or side.
Answer:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
Step-by-step explanation:
From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
please help
4x-8 by 4 is ???
Triangle A (1, 1), B (4, 4), C (6, 2) is
Answer:
Is a obtuse triangle
Step-by-step explanation:
Help me please hurry up
Use the picture in the diagram 2
Answer:
4
Step-by-step explanation:
4
50% of 25% of the number is 96
Answer:
if I'm supposed to find the number it is 768
Step-by-step explanation:
double 96 which equals 192 then multiply that times 4 which is 768
The 50% of 25% of the number 96 will be equal to 12.
What is percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 96 and the value of 50% of 25% of 96 will be calculated as,
P = 50% x 25% x 96
P = 0.5 x 0.25 x 96
P = 12
Therefore, 50% of 25% of the number 96 will be equal to 12.
To know more about percentages follow
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An individual saves $5000 in a bank account at the beginning of each year for 10 years.
No further savings or withdrawals are made from the account. Determine the total amount saved if the annual interest rate is 8% compounded:
(a) annually;
(b) semi-annually.
Answer:
a) Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually is $5849.5
Step-by-step explanation:
Principal Amount P = 5000
Time t = 10 years
Annual interest i = 8% = 0.08
We need to find amount saved if interest is compounded a) annually b) semi-annually
a) Amount saved if the interest is compounded annually
If interest compounded annually, n= 1
Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values:
[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832[/tex]
So, Amount saved if the interest is compounded annually is $5832
b) Amount saved if the interest is compounded semi-annually
If interest compounded semi-annually, n= 2
Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values:
[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5[/tex]
So, Amount saved if the interest is compounded semi-annually is $5849.5
(a). When compounded annually, the amount will be [tex]\$ 10,794.6[/tex]
(b). When compounded semi-annually, the amount will be [tex]\$ 10,955.6[/tex]
Compound interest:It is given that, an individual saves $5000 in a bank account at the beginning of each year for 10 years.
[tex]Principal(P)=5,000, t=10 years, rate(r)=8\%[/tex]
As we know that,
[tex]Amount=P(1+\frac{r}{100} )^{t} \\\\Amount=5,000(1+\frac{8}{100})^{10} \\\\Amount=5,000*(\frac{108}{100})^{10}\\\\Amount=\$ 10,794.6[/tex]
When interest is compounded semi-annually;
[tex]r=8/2=4\%, t=10*2=20[/tex]
[tex]Amount=5,000(1+\frac{4}{100})^{20} \\\\Amount=5,000*(\frac{104}{100})^{20}\\\\Amount=\$ 10,955.6[/tex]
Learn more about the compound interest here:
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is this right, be fr please
Answer:
1. yes
2.yes
Step-by-step explanation: you did the math right good
half of the quantity of 6 less than a number f is 4
Answer:
I believe 10
Step-by-step explanation:
the reason I believe it is 10 is because that is the main mathematical explanation for this equation
what is the slope of the line represented by the equation y equals negative 1 / 2 x + 1 / 4
Answer:
1/2
Step-by-step explanation:
just because it is
What is the slope of the line that crosses points (6, 9) and (10, 11)
[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Answer:
2/4 or 1/2
Step-by-step explanation:
slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.
y-axis is the rise because it goes up and down
x-axis is the run because it's horizontal
rise/run= 2/4= 1/2 because you always simplify.
Write an expression for the calculation 16 added to 10 and then divided by 2
Answer:
it is 16 + 10 ÷ 2
Step-by-step explanation:
Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles after the discount?
Answer:
$31.5
Step-by-step explanation:
-$45
-30 percent off of $45
30 times 45 divided by 100
1350/100
13.5
45-13.5
$31.5
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answer:
Sawyer has to pay $10 each week to pay his mom back
Step-by-step explanation:
Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.
The remaining $30 will be covered by his mom, given he pays the money back in three weeks.
If he pays the same amount each week, then each week he should pay $30 / 3 = $10
Sawyer has to pay $10 each week to pay his mom back
If your car gets 34 miles per gallon, how much does it cost to drive 370 miles when gasoline costs $3.30 per gallon?
The cost is $
nothing.
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
15
Step-by-step explanation:
The semiannual tuition payment at a major university is expected to be $30,000 for the 4 years beginning 18 years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning 18 years, 6 months from now? Assume that money is worth 6%, compounded semiannually, and that tuition is paid at the end of each half-year for 4 years. (Round your answer to the nearest cent.)
Answer:
$49,216.78
Step-by-step explanation:
A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k
A = Present value of deferred annuity
R = Payment at the end of period
R = 30,000
i = 0.06 / 2
n = (4)*2 = 8
k = deferred period, (18)*(2) = 36
A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36
A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36
A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185
A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185
A(n,k) = 30,000*6.732744875*0.24366872185
A(n,k) = 49216.78014700164
A(n,k) = $49,216.78
So the lump sum payment that the university accept now is $49,216.78
Solve the equation. 10 - 6v = -104
10 - 6v = -104
-6v = -104 - 10
-6v = -114
6v = 114
v = 114/6
v = 57/3
v = 19
What is 4.207 as a percent help me pls
Answer:
420.7%
Step-by-step explanation:
Justin had 4 math worksheets for
homework this week. Each worksheet had
48 problems on it. If he only answered 5
questions incorrectly all week, how many
questions did Justin answer correctly?
Answer:187 questions answered correctly
Step-by-step explanation:
4*48=192
192-5=187
Anyone know this???
================================================
Explanation:
To shift f(x) to the right three units, we need to replace every x with x-3
f(x) = (x+2)^2 + 1
f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3
f(x-3) = (x-1)^2 + 1
g(x) = (x-1)^2 + 1
The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).