Julie has three boxes of pens. The diagram shows expressions for the number of pens in each box. Look at these equations.
2 answers:
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Answer:
(y, -x -6)
Step-by-step explanation:
<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>
<em />
The first transformation: 6 units right
Where b = 6
So, the new coordinates will be
The second transformation: 90° clockwise
So, the new coordinates will be
<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>
Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.
<h3>¿Qué es un sistema de ecuaciones?</h3>Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
- Variable x: Edad de Juan.
- Variable y: Edad de su madre.
La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:
Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:
Como :
3y + 15 = 2y + 54
y = 39
Juan tiene 12 años e su madre tiene 39 años.
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Answer:
Part A)
- The observation from the the table indicates that if the value of variable
increases, the value of variable
also increases.
Part B)
-
is the function that bets fits the data.
Part C)
- The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be
.
- The y-intercept defines that for the total number of units produced
units would be added.
Step-by-step explanation:
Part A)
We know that
- Negative correlation means when one variable decreases, then the other variable also decreases.
- Positive correlation means when one variable increases, then the other variable also increases.
Given the table data
Number of employees (x)
(x) 0 25 50 75 100 125 150 175 200
Number of Products (y)
(y) 10 160 310 460 610 760 910 1060 1210
The observation from the the table indicates that if the value of variable increases, the value of variable
also increases.
Thus, the two variables i.e. Number of employees (x) and Number of Products (y) will have positive correlation.
Please check the attached graph in figure a to determine that the positive correlation as the value of variable increases when the value of variable
also increases.
Part B)
Given the table data
Number of employees (x)
(x) 0 25 50 75 100 125 150 175 200
Number of Products (y)
(y) 10 160 310 460 610 760 910 1060 1210
As we know that the point slope form
where is the slope and
is the y-intercept.
Lets take the point (0, 10) and point (200, 1210)
As
As
Taking any point, let say (25, 160), and putting in
Hence, is the function that bets fits the data.
Part C)
As we have determined the equation
Here,
- Slope = m = 6
- y-intercept = 10
The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be .
The y-intercept defines that for the total number of units produced by
number of workers,
units would be added.
Keywords: slope, function, linear function, correlation
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