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ss7ja [257]
3 years ago
10

Write the equation in slope-intercept form. y + 2 = 3(x - 4)

Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer: y=3x-14

Step-by-step explanation:

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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

7 0
2 years ago
Find the distance between the points ( – 9, – 4) and ( – 4,8).
Dmitriy789 [7]

Answer:

Distance=13\ units

Step-by-step explanation:

<u><em>Distance between two points:</em></u> Distance between two pints (x_1,y_1)\ and\ (x_2,y_2) is given by

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between (-9,-4)\ and\ (-4,8).

d=\sqrt{(-4-(-9))^2+(8-(-4))^2}\\\\d=\sqrt{(-4+9)^2+(8+4)^2}\\\\d=\sqrt{(5)^2+(12)^2}=\sqrt{25+144}\\\\d=\sqrt{169}\\\\d=13

6 0
2 years ago
Please help me<br> math math math
enot [183]

Answer:

3b^{4}

Step-by-step explanation:

36a^{4} b^{7} / 12a^4b^3\\

Break it down step by step.

36/12=3\\a^4-a^4=0\\b^7-b^3=4

3 0
2 years ago
Solve for q. q/18=5 q=​
Nataliya [291]

Answer:

q =90

Step-by-step explanation:

q/18=5

Multiply each side by 18

q/18  * 18=5* 18

q =90

3 0
2 years ago
Read 2 more answers
In jaime's math class, 9 students chose soccer as their favorite sport. This amount represents 3/8 of the entire class. The equa
Daniel [21]

Answer:

24

Step-by-step explanation:

3/8=9

6/8=18

8/8 would be 6/8 plus 2/3 of nine which is six

6+18=24

7 0
3 years ago
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