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Darina [25.2K]
3 years ago
10

1/3(-12k+30)=6+15k Solve for k

Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer: k = 4/9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Aneli [31]3 years ago
5 0

Answer:

k = 4/19

Step-by-step explanation:

1/3 (- 12k + 30) = 6 + 15k

- 12/3k + 30/3 = 6 + 15k

- 12/3k - 15k = 6 - 30/3

- 12/3k - 15/1k = 6/1 - 30/3

- 12/3k - 45/3k = 18/3 - 30/3

- 57/3k = - 12/3

- k = - 12/3 / 57/3

- k = - 12/3 * 3/57

- k = - 12/57

k = 12/57

k = 4/19

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If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

\large{ \begin{cases}y =  -  {x}^{2}  - 4 \\ y =  {(x - 1)}^{2}  - 7 \end{cases}}

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Answer

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Hope this helps and let me know if you have any doubts.

<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>

Happy Learning and Good Luck with your assignment!

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