Answer:
1.06c
Step-by-step explanation:
c+0.06c=c(1+0.06)=c(1.06)=1.06c
The equation which is a function of x is x²=y.
Given an equation that is a function of x.
A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.
If we input a value of x then we get the output f(x) = y, which is the function of x.
We are given four options out of which we are to pick the one which may be a function of 'x'.
The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.
The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.
The third option is x²=y in which y contains power 1. So, option 3 is correct.
The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.
Hence, the equation which is a function of x is x²=y.
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Solving for the polynomial function of least degree with
integral coefficients whose zeros are -5, 3i
We have:
x = -5
Then x + 5 = 0
Therefore one of the factors of the polynomial function is
(x + 5)
Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0
Therefore one of the factors of the polynomial function is (x^2
+ 9)
The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)
= x^3 + 9x + 5x^2 = 45
Therefore, x^3 + 5x^2 + 9x – 45 = 0
f(x) = x^3 + 5x^2 + 9x – 45
The polynomial function of least degree with integral coefficients
that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45
Answer:
C) Commensalism has no effect on the species, while parasitism has a negative effect.
Explanation:
Commensalism and parasitism are both forms of species interaction.
Commensalism:
Commensalism refers to an ecological relationship between two species where one species benefits from the other but the other is neither harmed nor benefited. For example, remoras are little fish that attach to sharks and other larger fish. Remoras benefit in terms of protection, transport and food. They feed off scraps attached to the shark's mouth and teeth. However, the shark neither benefits nor suffers from this interaction.
Parasitism:
Parasitism is a relationship between a host and a parasite where the parasite benefits at the expense of the host. the parasite attains benefits while harming the host. For example, ticks and fleas that infest dogs. The ticks attain nutrients from the host's blood and in turn, weaken and harm the host.
