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2 years ago

Find f^3(x) for f(x)=4/x^2

Mathematics

1 answer:

vaieri [72.5K]2 years ago

7 0

Answer:

f³(x) = 64/x⁶

Step-by-step explanation:

f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³

f³(x) = 64/x⁶

_____

The applicable rules of exponents are ...

(a/b)^c = (a^c)/(b^c)

(a^b)^c = a^(bc)

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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

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3 years ago

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A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?

beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

Equation

y - 2 = -1/5 (x + 5)

y - 2 = -1/5 x - 1

y = -1/5 x + 1

Answer

y = -1/5 x + 1

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3 years ago

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Wilfred is feeding his goats. He gives 56% of the bag of feed to the goats in field A and the rest to the goats in field B. If t

krok68 [10]

Answer:

$Feeds = 11.76kg$

Step-by-step explanation:

Given

$Field\ A= 56\%$

$Field\ B= The\ rest$

$Bag = 21kg\ feed$

Required

Determine how much goats in field A, get.

To do this, we simply multiply the percentage feed received by goats in field A by the actual bags of feeds

i.e.

$Feeds = 56\% * 21kg$

Convert percentage to decimal

$Feeds = 0.56 * 21kg$

$Feeds = 11.76kg$

<em>Hence, goats in field A get 11.76kg of feeds</em>

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marishachu [46]

Answer:

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Step-by-step explanation:

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