Answer:
Tipo de función: Función Constante o Función Polinómica de Orden Cero
Dominio: 
Codominio: 
Asíntota: 
Raíces: No tiene.
Vértices: No tiene.
La tabla de valores y el gráfico se encuentran adjuntos al fondo.
Step-by-step explanation:
Sea 
, el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son y . No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función () y carece de raíces al ser 
para todo 
.
Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:
x -2 -1 0 1 2
y 4 4 4 4 4
Answer:
Perimeter = 42 units Area = 57.73 square units
Step-by-step explanation:
Perimeter of an Astroid = 6l ---> 6 x 7 = 42 units
Area of an Astroid = (3 x pi x a^2)/8 = 57.73 square units
<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.
In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:
80 + 2x = 180
Subtract 80 from both sides of the equation.
2x = 100
Divide both sides by 2.
x = 50
This means that angle F and angle H in ∆FDH both measure 50°.
Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.
First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.
**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**
In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:
Angle DHF + Angle DHG = 180°
50° + Angle DHG = 180°.
Angle DHG = 130°.
Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:
130 + 2x = 180
2x = 50
x = 25
The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.
Solution: 25°
Answer:
75.6 ounces
Step-by-step explanation:
Step one.
Given data
we are told that the original quantity of food is 63 ounces
and the increase is in food is by 20%
Step two:
let us find the increase in ounces
=20/100*63
=0.2*63
=12.6 ounces
Hence the amount of food in the bag now is
=12.6+63
=75.6 ounces
