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2 years ago

What is the product? 5k/6 . 3/2k^3

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

7 0

Pls go help me at

brainly.com/question/8858488

and your answer is 5l4k^2

Molodets [167]2 years ago

7 0

Answer: The required product is $\dfrac{5}{4k^2}.$

Step-by-step explanation: We are to calculate the following product:

$P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.$

We will be using the following property of exponents:

$\dfrac{a^x}{a^y}=a^{x-y}.$

We have

$P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.$

Thus, the required product is $\dfrac{5}{4k^2}.$

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Which statement is true about the discontinuities of the function f(x)? F (x) = StartFraction x minus 5 Over 3 x squared minus 1

balandron [24]

Question:

Which statement is true about the discontinuities of the function $f(x) = \frac{x-5}{3x^2-17x-28}$

A)There are holes at x = 7 and .

B)There are asymptotes at x = 7 and .

C)There are asymptotes at x = –7 and .

D)There are holes at (–7, 0) and .

Answer:

B)There are asymptotes at x = 7 and $(x = \frac{-4}{3})$

Step-by-step explanation:

Given:

$f(x) = \frac{x-5}{3x^2-17x-28}$

Required:

Find the true statement

$f(x) = \frac{x-5}{3x^2-17x-28}$

We'll first factorize the denominator.

$f(x) = \frac{x-5}{(3x+4)(x-7)}$

Make x subject of the formula in (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

$x = \frac{-4}{3}$

x - 7

x = 7

Now check for the limit when $(x = \frac{-4}{3})$ and (x = 7)

lim f(x) when $(x = \frac{-4}{3})$ = ±∞

lim f(x) when (x=7) = ±∞

Sinve they both make the denominator tend to zero, they are asymptotes

Therefore, there are asymptotes at $(x = \frac{-4}{3})$ and x=7

Option B is correct

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2 years ago

Angle PQR is formed by segments PQ and QR on the following coordinate grid:

viva [34]

Answer:

m∠P′Q′R′ = m∠PQR

Step-by-step explanation:

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2 years ago

Tanisha and Neal are simplifying the expression . They each began the same way. Tanisha’s Work Neal’s Work Which statements are

valentina_108 [34]

Answer:

The correct simplified answer is $\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$ or $\frac{x^8}{81\cdot y^8}$

Step-by-step explanation:

Here we have the expression as

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4}$

Tanisha's work

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^2)(y^{-2})}{3} \right )^{4}$

Neal's work is

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^{16})(y^{-20})}{3^4(x^8)(y^{-12})} \right )$

The correct simplified answer is $\frac{x^8}{81\cdot y^8}$ .

which can also be expressed as

$\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$

Both form represent simplified forms of the original equation.

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2 years ago

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choose the correct word to complete the sentence below. A group of related facts that use the same number is called?

oee [108]

A fact family . . . . . . . . .

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2 years ago

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Rayna is building a tapered staircase using wooden boards. The bottom stair is 3 ft wide, and the top stair is 2 ft wide. Each s

Oksana_A [137]

Answer:

Total length of wooden boards = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

Step-by-step explanation:

First we need to convert the 4 in measurement to foot.

The conversion rate is: 12 inches = 1 foot.

So we have that 4 inches is equal to 1/3 feet.

If each stair is (1/3) feet shorter than the one below, we have that:

Bottom stair = 3 feet

Second stair = 2.666 feet

Third stair = 2.333 feet

Top stair = 2 feet

The staircase have 4 stairs:

3 feet, 2.666 feet, 2.333 feet and 2 feet

Now, to know the total length of wooden boards, we just need to sum the length of each stair:

Total = 3 + 2.666 + 2.333 + 2 = 10 feet

As 10 is a whole number, it can't be written as an improper fraction.

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2 years ago