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3 years ago

What is the domain of the function shown below? f(x)=-24/x^2+8

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Answer:

Step-by-step explanation:

d/dx(8 - 24/x^2) = 48/x^3

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Indefinite integral assuming all variables are real:

integral(-24/x^2 + 8) dx = 8 x + 24/x + constant

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Limit:

lim_(x-> ± ∞) (8 - 24/x^2) = 8

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Lera25 [3.4K]

Answer:

Step-by-step explanation:

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2 years ago

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is (-3, -129)

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3 years ago

Translate this sentence into an equation.

lana [24]

Answer:

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Step-by-step explanation:

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2 years ago

Factor 36m^3-6m^2p^2-6mp+p^3

LenaWriter [7]

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2 years ago

Does (7, 8) make the equation y = x + 5 true?

NNADVOKAT [17]

Answer:

Step-by-step explanation:

no the correct point would be (7,12)

7x1=7

7+5=12

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3 years ago

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