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Kruka [31]
3 years ago
5

Circle the equations that represent quadratic functions a. y=3x+1 b. y=x^2+3 c. y=x^3-3 d. x^2+3y=8

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

B. y=x^2+3 \\\\D.$ $x^2+3y=8

Step-by-step explanation:

A quadratic function is a function in which the highest power of the unknown variable is 2.

Formally, a quadratic function is defined as a function of the form:

f(x)=ax^2+bx+c, a\neq 0

From the given options, only B and D has the highest power as 2. Therefore, the equations that represent quadratic functions are:

B. y=x^2+3 \\\\D.$ $x^2+3y=8

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Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

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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Romashka [77]

Pen : $3

Pencil : $0.50

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3 years ago
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