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Harlamova29_29 [7]
3 years ago
8

If and , find . A. B. C. D.

Mathematics
1 answer:
trapecia [35]3 years ago
4 0
Answer: option D. 2x^2 + (3/2)x  - 5

Explanation:

1) polynomials given:

 f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3

2) question: find (f + g) (x)

That means that f(x) + g(x), so you have to add up the two polynomials given.

3) x/2  - 2 + 2x^2 + x - 3

4) Combine like terms:

a) terms with x^2: you only have 2x^2, so it is not combined with other term.

b) terms with x: x/2 + x

that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x

c) constant terms: - 2 + (-3) = - 2 - 3 = - 5

5) Result: 2x^2 + (3/2)x - 5

That is the option d.


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<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were 27x and 6x and the expression formed from them is 27x+6x

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both 27x and 6x in the expression 27x+6x is <u><em>addition</em></u>"

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Step-by-step explanation:

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A crystallographer measures the horizontal spacing between molecules in a crystal. The spacing is 14.8 nm . What is the total wi
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F(x)=23x−1 and g(x)=−4x+6.
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The transformation occurs from function g is a vertical translation 6 units down.

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Given:

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By seeing g(x), we can say that  function g is a vertical translation 6 units down.

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Rectangle C is not similar to the other 2

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3 years ago
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