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3 years ago

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Which statement best explains whether the table represents a linear or nonlinear function?

1 answer:

natali 33 [55]3 years ago

8 0

The attached file is the points graphed.
So what is a linear function?
<span>If it is a linear function, its graph will be a straight line.
</span><span>It also must have either one or two variables. If there is another variable is, it must be a known variable or constant.
</span>
The points and the graph satisfy both of these things, so we know the answer is not B or D.

So, let's look at both answer choices.
<span>
A.It is a linear function because the input values are increasing.
C.</span><span>It is a linear function because there is a constant rate of change in both the input and output.

Well, according to our criteria, the input values don't need to be increasing for it to be linear. But, we do know that there must be a constant rate of change in both the input and output.

So, the answer is C. </span>It is a linear function because there is a constant rate of change in both the input and output.<span>

</span>

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

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Squaring both sides

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Re(LHS)=Re(RHS)

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comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

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3 years ago

Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be

Alinara [238K]

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

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this simply means that ; P(n) is true for all 'n' in the set

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we will assume that

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we will assume

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This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

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