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Ivenika [448]
3 years ago
8

Prove the algebraic identity with the left hand side and supplying a sequence of equivalent expressions that ends with the right

hand side. X^3-x^2/x -(x-1)(x+1)=1-x
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

See Prove

Step-by-step explanation:

Given the expression: \dfrac{x^3-x^2}{x} -(x-1)(x+1)

To Prove: \dfrac{x^3-x^2}{x} -(x-1)(x+1)=1-x

Taking the Left-Hand side

\dfrac{x^3-x^2}{x} -(x-1)(x+1)\\=\dfrac{x(x^2-x)}{x} -[x(x+1)-1(x+1)]\\=x^2-x-[x^2+x-x-1]\\=x^2-x-x^2+1\\=-x+1\\=1-x

This is the right-hand side as required.

We have proved the given algebraic identity.

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Please answer this is only algebra 1
Alexeev081 [22]

The numeric values for the given functions are as follows:

  • f(1/3) = 1/9.
  • g(4) = 8.
  • g(-3) = -6.

<h3>How to find the numeric value of a function or of an expression at a given point?</h3>

To find the numeric value of a function at x = a, we replace each instance of the variable, usually x, in the function by the desired value of a.

Function f(x) is defined by:

f(x) = x².

For the numeric value at x = 1/3, we replace the lone instance of x by 1/3, hence:

f(1/3) = (1/3)² = 1/9.

Function g(x) is defined by:

g(x) = 2x.

For the numeric value at x = 4, we replace the lone instance of x by 4, hence:

g(4) = 2(4) = 8.

For the numeric value at x = -3, we replace the lone instance of x by -3, hence:

g(-3) = 2(-3) = -6.

More can be learned about the numeric values of a function at brainly.com/question/28367050

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3 years ago
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Lorico [155]

The equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

<h3>Trigonometry</h3>

From the question, we are to determine which of the given equations can be used to determine the measure of ∠A

In the diagram,

If ∠A is the included angle

Then,

Using<em> SOH CAH TOA</em>

Opposite = 9.4

Adjacent = 6.7

Thus,

tanA = 9.4/6.7

Hence, the equation that can be used to determine the measure of ∠A is tanA = 9.4/6.7. The correct option is A. tanA=9.4/6.7

Learn more on Trigonometry here: brainly.com/question/2673715

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