Consider the polynomial function p(x)= -9x^9 +6x^6 -3x^3 +1.
2 answers:
Answer:
The end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
Step-by-step explanation:
Given the polynomial function
Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -9x⁹, then the degree is 9 i.e. odd, and the leading coefficient is -9, i.e. negative.
This means that f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
The graph is also attached below.
Thus, the end behavior of the graph of p is:
f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞
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Answer:
The capacity of the mug = cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is full of water
⇒Total cups of water in the mug =
Now,
Given that, The mug contains of a cup of water.
∴ we get
=
⇒x = × 8
=
= =
⇒x =
∴ we get
The capacity of the mug = cups
Answer:
Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.
Step-by-step explanation:
Sea la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:
Cantidad inicial de vacas
Habían inicialmente 84 vacas.
Cantidad de vacas muertas
Murieron 36 vacas.
Cantidad de vacas vendidas
24 vacas fueron vendidas.