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2 years ago

Find the following f(x)=x^2 - 4x - 12 A) f(a+2) B) f(a+h)

Mathematics

1 answer:

NikAS [45]2 years ago

6 0

(A) f(a + 2) = a² - 16

substitute x = a + 2 into f(x)

f(a + 2) = (a + 2)² - 4(a + 2) - 12

= a² + 4a + 4 - 4a - 8 - 12

= a² - 16

(B ) f(a + h) = a² + 2ah + h² - 4a - 4h - 12

substitute x = a + h into f(x)

f(a + h) = a² + 2ah + h² - 4a - 4h - 12

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3 years ago

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-

alekssr [168]

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

$P(c) = 20(c - 3)^2$

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

$P(c) = 20(c - 3)^2$

$P(c) = 20(c - 3)(c - 3)$

Open bracket

$P(c) = 20(c^2 -6c+ 9)$

$P(c) = 20c^2 -120c+ 180$

The maximum value of c is:

$Max(c) = \frac{-b}{2a}$

Where:

$f(x) = ax^2 + b^2 + c$

By comparison: $P(c) = 20c^2 -120c+ 180$

$a = 20$

$b = -120$

$c = 180$

So, we have:

$Max(c) = \frac{-b}{2a}$

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$Max(c) = \frac{120}{40}$

$Max(c) = 3$

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2 years ago

Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster

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Answer:

Robert

Step-by-step explanation:

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2 years ago

in the northen hemisphere the ratio of tye area of the water is 2:3 work out the percentage of tge area of the northen hemispher

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Answer:

40%

Step-by-step explanation:

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2 years ago

Can some please help me with this math question.

Veseljchak [2.6K]

Answer:

C- Inverse

Step-by-step explanation:

Logarithmic example:

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Exponential example:

$6^{1}$ = 6

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hope this helps :)

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2 years ago