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frez [133]
2 years ago
8

Which expression is equivalent to 4.8 – 2.2w + 1.4w – 2.4 ?

Mathematics
1 answer:
Vlad1618 [11]2 years ago
6 0

Answer:

B) 0.4 (6 - 2w)

Step-by-step explanation:

You can only add or subtract with the numbers that have the same variable:

You can only add -2.2w and 1.4w

Which is -0.8w

Then add 4.8 and -2.4

Which is 2.4

Now the equation is -0.8w+2.4 or 2.4-0.8w

0.4 times 6 is 2.4

0.4 times 2w is -0.8w

Which is the same

-0.8w+2.4 or 2.4-0.8w

Hope this helps!

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Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

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Let's first consider what we can determine from this.

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<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

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Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

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And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

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Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

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Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

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So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

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