Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
Answer:
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
Step-by-step explanation:
Let
x ----> the number of questions that you answer correctly on this quiz
y ----> the total number of points you score on this quiz
In this problem
The output value or dependent variable is the total number of points you score on this quiz (variable y)
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
we have
This linear equation represent a proportional relationship between the variables x and y
where
k=10
K is the constant of proportionality or slope of the linear equation
Answer:
<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Length of the rectangle = 27 meters
Width of the rectangle = 23 meters or 0.23 meters (it's not clear)
2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:
Perimeter of the rectangle = 2 * Length + 2 * Width
Replacing with the values we know:
Perimeter of the rectangle = 2 * 27 + 2 * 23
Perimeter of the rectangle = 54 + 46 = 100 meters
Perimeter of the rectangle = 2 * 27 + 2 * 0.23
Perimeter of the rectangle = 54 + 0.46 = 54.46 meters
Answer:
Δf(u) /Δx = 92,8 ( razón de cambio promedio)
Step-by-step explanation:
La expresión de la utilidad de la empresa u(x) en función de la cantidad de unidades producidas "x" es:
u(x) = 0,04*x² + 44*x -4000
Entonces la razón de cambio promedio en un intervalo (a ; b) en este caso ( 620 ; 600 ) viene dada por la expresión:
Δf(x)/ Δx = [ f(b) - f(a) ]/( b - a )
en donde f(b) y f(a) se obtienen por sustitución de los valores a y b es decir 600 y 620 respectivamente en la función f(x) = u(x) entonces
Δf(u) /Δx = [ u(b) - u(a) ]/( b -a ) (1)
u(b) = 0,04*(620)² + 44*(620) - 4000
u(b) = 15376 + 27280 -4000
u(b) = 2656 unidades
u(a) = 0,04* (600)² + 44* 600 - 4000
u(a) = 14400 + 26400 - 4000
u(a) = 800
Sustituyendo esos valores en la ecuación 1
Δf(u) /Δx = 2656 - 800 / 620 - 600
Δf(u) /Δx = 92,8
