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Monica [59]
3 years ago
14

The function h(x)= x^2+3 and g(x)= x^2-6. If g(x) = h(x) +k, what is the value of k

Mathematics
2 answers:
trapecia [35]3 years ago
8 0

Answer:

k = - 9

Step-by-step explanation:

h(x) = x² + 3

g(x) = x² - 6

g(x) = h(x) + k

x² - 6 = x² + 3 + k

-6 - 3 = k

k = - 9

mel-nik [20]3 years ago
5 0

Answer:

<h2>k = -9</h2>

Step-by-step explanation:

h(x)=x^2+3\\\\g(x)=x^2-6\\\\g(x)=h(x)+k\qquad(*)\\\\\text{Substitute to (*)}:\\\\x^2-6=x^2+3+k\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\x^2-x^2-6=x^2-x^2+3+k\\\\-6=3+k\qquad\text{subtract 3 from both sides}\\\\-6-3=3-3+k\\\\-9=k\to k=-9

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irinina [24]

Answer:

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Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

So, our final units will be in $/cup.

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In order to get from gallons to cups, we need to convert units.

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Important things to note:

- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer

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