Answer:
<u>Given</u>
and
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line if this is an inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region below the same line, in our case the line is also part of the covered region because it is "≤".
We can state that the inequality includes the line and the region below the same line.
Answer:
{ - 9, - 7, - 3, - 1 }
Step-by-step explanation:
To obtain the range substitute the values of x from the domain into f(x)
f(- 2) = - 2(- 2) - 5 = 4 - 5 = - 1
f(- 1) = - 2(- 1) - 5 = 2 - 5 = - 3
f(1) = - 2(1) - 5 = - 2 - 5 = - 7
f(2) = - 2(2) - 5 = - 4 - 5 = - 9
range is { - 9, - 7, - 3, - 1 }
Answer:
y=-4x+3
Step-by-step explanation:
The slopes of 2 parallel lines will always be the same, so we plug in the ordered pair to find the y intercept
<u>Hope this helps :-)</u>
Answer:
d). 3/5.
Step-by-step explanation:
The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:
18/30
= (18/6) / (30/6)
= 3/5.
El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.
<h3>¿Cuál es el volumen remanente entre una caja cúbica vacía y una pelota?</h3>
En esta pregunta debemos encontrar el volumen <em>remanente</em> entre el espacio de una caja <em>cúbica</em> y una esfera introducida en el elemento anterior. El volumen <em>remanente</em> es igual a sustraer el volumen de la pelota del volumen de la caja.
Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:
Cubo
V = l³
V = (4 cm)³
V = 64 cm³
Esfera
V' = (4π / 3) · R³
V' = (4π / 3) · (2 cm)³
V' ≈ 33.5103 cm³
Segundo, determinamos la diferencia de volumen entre los dos elementos:
V'' = V - V'
V'' = 64 cm³ - 33.5103 cm³
V'' = 30.4897 cm³
El volumen <em>remanente</em> entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.
Para aprender más sobre volúmenes: brainly.com/question/23940577
#SPJ1
