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muminat
4 years ago
11

Write –2x2(–5x2 + 4x3) in standard form

Mathematics
1 answer:
aksik [14]4 years ago
3 0

We open the brackets

And use the laws of indices

-2x^2(-5X^2+4X^3)

Opening brackets

10X^4-8X^5 we get X^4 and X^5 because the terms we have multiplied have common bases and therefore we have added the powers

Hence our answer is 10X^4-8X^5

 

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Answer:

As the given equation represents a quadratic function.

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As we know that the function is just a relation in which each input has only one output.

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Step-by-step explanation:

Given the equation

y\:=\:x^2-9x

As the given equation represents a quadratic function.

Thus, y\:=\:x^2-9x represents a function.

As we know that the function is just a relation in which each input has only one output.

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\mathrm{Domain\:of\:}\:x^2-9x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

\mathrm{Range\:of\:}x^2-9x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-\frac{81}{4}\:\\ \:\mathrm{Interval\:Notation:}&\:[-\frac{81}{4},\:\infty \:)\end{bmatrix}

The graph is also attached below. From the graph, it is clear that it represents a Parabola.

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