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3 years ago

If A/B and C/D are rational expressions, then what is it?

Mathematics

2 answers:

Alenkinab [10]3 years ago

5 0

Answer:

the correct answer is true .

Step-by-step explanation:

11Alexandr11 [23.1K]3 years ago

4 0

If A/B and C/ D are rational expressions then $\frac{A}{B} * \frac{C}{D}$

Or $\frac{A}{B} * \frac{C}{D} = \frac{A*B}{C*D}$ <span>
</span>

<span>It means that if A/B and C/D are rational expressional then their product with each other will also be a rational expression.</span>

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What is the vertex of the function f(x) = x2 + 12x?

Sophie [7]

We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6) = 36 - 72 = -36

Therefore vertex is (-6, -36).

7 0

3 years ago

Which of the following are reasons why a bank may establish a multinational operation?

Rashid [163]

Answer:

multinational banking operations help a bank prevent the erosion of its traveler's check, tourist, and foreign business markets from foreign bank competition.

mark me brainliest.

3 0

3 years ago

At a grocery store a cake was on sale for 22% off if the original price of the cake was c what is the sale price in terms of c

Harlamova29_29 [7]

Answer:

( 39/50 ) * c

Step-by-step explanation:

Sale price = Original price - Reduced price

= C - (C * 22%)

= ( 39/50 ) * c

[If there's any mistake, please inform me]

5 0

3 years ago

Read 2 more answers

Which logarithmic equation is equivalent to 25 = 32? log232 = 5 log532 = 2 log325 = 2 log25 = 32.

LiRa [457]

Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

<h3>What is the Logarithm function?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

$2^5 = 32\\\\\rm log_2 32 = 5$

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

Learn more about Logarithmic function:

brainly.com/question/7302008

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3 years ago

Read 2 more answers

When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat

aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

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4 0

1 year ago