h = 6
l = 8
w = 6
surface area = 2 (wl +hl +hw) =
2( (6*8) +(6*8)+(6*6)) =
2(48 +48 +36)=
2(132)= 264 square inches
The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
Answer:
32 pizzas
60 pizzas
1/24
Step-by-step explanation:
Se hicieron 8 docenas de pizzas.
Una docena es 12, por lo tanto, el número de pizzas hechas fue:
8 * 12 = 96 pizzas
1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:
1/3 * 96 = 32 pizzas
5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:
5/8 * 96 = 60 pizzas
El número total de pizzas vendidas es:
32 + 60 = 92 pizzas
Esto significa que no se vendieron 4 pizzas. En forma de fracción:
4/96 = 1/24
Answer:
The polynomial will be P(x) = - 5 (x + 2)²(x - 3)
Step-by-step explanation:
The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.
Therefore, (x + 2)² and (x - 3) are the factors of the equation.
Let the polynomial is
P(x) = a(x + 2)²(x - 3) ........... (1)
Now, the polynomial passes through the point (2,80).
So, from equation (1) we gat,
80 = a(4)²(-1)
⇒ a = - 5
Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)
