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3 years ago

By what property are x+3(7-x) and x+21-3x equivalent

Mathematics

1 answer:

Lorico [155]3 years ago

4 0

Answer:

The given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property

Step-by-step explanation:

Given expressions are x+3(7-x) and x+21-3x and also given that they are equivalent

To find for what property the given two expressions are equivalent :

x+3(7-x)=x+3(7)+3(-x)

=x+21-3x ( here we are using the distributive property a(x+y)=ax+ay )

Therefore the given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property

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Answer:

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3 years ago

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Answer:

The correct option is A

Step-by-step explanation:

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3 years ago

The graph of the function f(x) = (x - 3)(x + 1)

djyliett [7]

Answer:

The graph is positive and decreasing for all real values of x where x < -1

Step-by-step explanation:

we have

$f(x)=(x-3)(x+1)$

The function is a vertical parabola open up

The roots (x-intercepts) are x=3 and x=-1

The vertex is the point (1,-4 ) is a minimum

using a graphing tool

see the attached figure

we know that

In the interval (-∞,-1) ---> the function is positive and decreasing

In the interval (-1,1) ---> the function is negative and decreasing

In the interval (1,3) ---> the function is negative and increasing

In the interval (3,∞) ---> the function is positive and increasing

therefore

The graph is positive and decreasing for all real values of x where x < -1

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3 years ago