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Amiraneli [1.4K]
3 years ago
8

Algebra I Evaluate each function. h ( n ) = 2 n − 5 ; Find h ( 2 )

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

Answer:

h ( 2 ) = - 1

Step-by-step explanation:

<u>Two-Variable Functions</u>

A function expresses the relation between two variables in such a way that for each input for the independent variable n, there one and only one value for the function h(n). If it's explicitly given as an equation, then we can use values for n as we wish, and compute the different values of h(n).

The question provides the following function

h ( n ) = 2 n - 5

We are required to find h(2), which can be computed by replacing n by the value of 2

h ( 2 ) = 2 (2) - 5

h ( 2 ) = 4 - 5

h ( 2 ) = - 1

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Answer:

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Step-by-step explanation:

3x+x^2=-7\\\Rightarrow x^2+3x+7=0

Discriminant

D=b^2-4ac\\\Rightarrow D=3^2-4\times 7\times 1\\\Rightarrow D=-19

If the discriminant is a negative number then the roots of the equation are imaginary

x=\frac{-b\pm \sqrtD}{2a}\\\Rightarrow x=\frac{-3\pm \sqrt{-19}}{2\times 1}\\\Rightarrow x=-\frac{3}{2}\pm \frac{\sqrt{19}i}{2}\\\Rightarrow x=-\frac{3}{2}+\frac{\sqrt{19}i}{2}, x=-\frac{3}{2}-\frac{\sqrt{19}i}{2}

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Step-by-step explanation:

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From the information given,

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