What is the y-intercept of the line given by the equation below?

The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by R(x)equals=0.210.21x. The p

Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0

3 years ago

How do you find the missing height of a triangle?

g100num [7]

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The pythagorean theorem is $a^{2} +b^{2} =c^{2}$ where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

$3^{2} +4^{2} =c^{2}$

Simplify the equation to get:

$9+16=c^2$

Add 16 and 9 to get 25 and take the square root of both sides:

$\sqrt{25} =c$

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.

8 0

3 years ago

Read 2 more answers

Las llantas de un automóvil pequeño tiene una medida de 14 pulgadas de diámetro.Realiza la gráfica de una de las llantas colocan

LiRa [457]

Answer:

Invitamos cordial a revisar la imagen adjunta abajo para mayor detalle sobre la gráfica de las llantas.

La forma general de la circunferencia de la llanta está representada por $x^{2}+y^{2}-49 = 0$ .

Step-by-step explanation:

A continuación, anexamos una representación de las llantas del automóvil como una circunferencia centrada en el origen y con un diámetro de 14 pulgadas, es decir, un radio de 7 pulgadas.

La ecuación estándar de la circunferencia centrada en un punto dado y con un radio determinado está definida por:

$(x-h)^{2}+(y-k)^{2} =r^{2}$ (1)

Donde:

$h$ , $k$ - Coordenadas del centro de la circunferencia, medidas en pulgadas.

$r$ - Radio de la circunferencia, medido en pulgadas.

Si conocemos que $h = 0\,in$ , $k = 0\,in$ y $r = 7\,in$ , entonces la ecuación estándar que representa a la circunferencia de la llanta es:

$x^{2}+y^{2} = 49$

Ahora, la ecuación general de la circunferencia centrada en el origen satisface la siguiente expresión:

$A\cdot x^{2}+A\cdot y^{2}+B = 0$ (2)

Donde $A$ , $B$ son los coeficientes de forma de la circunferencia.

Entonces, la forma general de la circunferencia de la llanta está representada por la siguiente expresión:

$x^{2}+y^{2}-49 = 0$

6 0

2 years ago

5. On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14

almond37 [142]

Answer:

Option OD - 9

Step-by-step explanation:

Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.

To find : What is the average number of patients per nursing assistant?

Solution :

The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.

So, $\text{Average} =\frac{\text{Sum of patients}}{\text{Number of assistants}}$