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lapo4ka [179]
3 years ago
12

Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer.

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0
Well in this case, to see which is greater, let's just say that:
x=4   <--- 4 is less than 5
y=5

Now substitute:
2x-y                   2y-x
2(4)-5                2(5)-4
8-5                      10-4
3                            6

Which of these is greater, 3 or 6? 6, obviously. Therefore, we know that 2y-x is greater.
<em>
</em>

<em>Don't forget to rate this answer the Brainliest!</em>

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There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

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