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Fudgin [204]
3 years ago
10

Which property would be useful in proving that the product of two rational numbers is ALWAYS rational? A) a b + c d = ad + bc bd

B) a + b cd = a cd + b cd C) a b · c d = ac bd D) a b ÷ c d = a b · d c
Mathematics
2 answers:
Mademuasel [1]3 years ago
3 0

Answer:

C

Step-by-step explanation:

So we need to understand what is rational numbers?

Rational number which can be written under this form: \frac{x}{y} when x any are both integers and y\neq 0

The question here is : Which property would be useful in proving that the product of two rational numbers. In math, when we talk about the product of at least two number, it implies to the multiplication in the operation.

Here, only answer C: \frac{a}{b} *\frac{c}{d} = \frac{ac}{bd} with the condition b\neq 0 and    d \neq 0 and a, b, c and d are integers. Product of two integers is always an integer..

serious [3.7K]3 years ago
3 0

Answer:

Which property would be useful in proving that the product of two rational numbers is ALWAYS rational?

A)  ab+ cd= ad + bcbd

B)  a + bcd= acd+ bcd

<u><em>C)  ab· cd= acbd</em></u>

D)    ab÷ cd= ab· dc

Step-by-step explanation:

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Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):
Lana71 [14]

Answer:

You have relative maximum at x=1.

Step-by-step explanation:

-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.

f' is greater than 0 when the curve is above the x-axis.

f' greater than 0 means that f is increasing there.

f' is less than 0 when the curve is below the x-axis.

f' is less than 0 means that f is decreasing there.

Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.

This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.

Looking at the graph the switch points are at x=0, x=1, and x=2.

At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0.  That means f is decreasing to increasing here. There would be a relative minimum at x=0.

At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.

At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.

Conclusion:

* Relative minimums at x=0 and x=2

* Relative maximums at x=1

3 0
3 years ago
I need help pleaseeeeeee
soldi70 [24.7K]

Answer:

For a triangle to be equiangular all its three interior angles must be equal, that is, each angle should measure 60˚.

Step-by-step explanation:

5 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST WORTH 10 PTS THX!!
antiseptic1488 [7]

Answer:

  64/49

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1

_____

Using these rules, we can simplify the given expression to ...

  \left(\dfrac{8\cdot 4\cdot 2}{8\cdot 7}\right)^2\times\left(\dfrac{8^0}{7^{-3}}\right)^3\times 7^{-9}\\\\=\dfrac{8^2}{7^2}\times(8^{0\cdot 3}\cdot 7^{3\cdot 3})\times 7^{-9}\\\\=\dfrac{64}{49}\times(8^07^{9-9})=\boxed{\dfrac{64}{49}}

6 0
3 years ago
Read 2 more answers
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT
katrin2010 [14]
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³

volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³

<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³

the answer is
12.3 in³
8 0
3 years ago
Oi tu bem com voces eu sou novo oiiiiii
True [87]

Answer:

Please post useful questions thanks!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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