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3 years ago

Help!! Which of the following uses the reciprocal property to rewrite 12/x-3 = 20/x+3?

Mathematics

1 answer:

loris [4]3 years ago

3 0

The reciprocal property is:

$\frac{x - 3}{12} = \frac{x + 3}{20}$

Solution:

Given that,

$\frac{12}{x - 3} = \frac{20}{x + 3}$

The reciprocal property is given as:

The reciprocal of a fraction is the numerator and denominator switched

$\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}$

Therefore,

$\frac{12}{x - 3} = \frac{20}{x + 3}$

By reciprocal property,

Switch the numerator and denominator of right side fraction as well as left side fraction

The we get,

$\frac{x - 3}{12} = \frac{x + 3}{20}$

Thus option C is correct

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The price in dollars of a stereo system is given by p(q) = (1000/q2)+1000 where q represents the demand of the product.

elena-14-01-66 [18.8K]

Answer:

a) r(q) = 1000(q +1/q)

b) r'(q) = 1000(1 -1/q^2)

c) r'(10) = 990

Step-by-step explanation:

a) Revenue is the product of quantity and price:

r(q) = q·p(q) = q(1000(1 +1/q^2))

r(q) = 1000(q + 1/q)

b) The derivative is ...

r'(q) = 1000(1 -1/q^2)

c) The derivative evaluated for q=10 is ...

r'(10) = 1000(1 -1/10^2) = 1000(0.99)

r'(10) = 990

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3 years ago

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir

mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(U |D ) = 0.198$

$P(O\ n \ B) = 0.188$

$P(O | B) = 0.498$

Step-by-step explanation:

The total number of deaths is mathematically represented as

$T = 16 + 23 + \cdots + 16$

$T =623$

The total number of deaths in 1996 - 2000 is mathematically represented as

$T_a = 16 + 23+ \cdots + 30$

$T_a = 235$

The total number of deaths in 2001 - 2005 is mathematically represented as

$T_b = 17 + 16 + \cdots + 23$

$T_b = 206$

The total number of deaths in 2006 - 2010 is mathematically represented as

$T_c = 15 + 17 + \cdots + 16$

$T_d = 182$

Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as

$P(U |D ) = \frac{P(A \ n\ U )}{P(A)}$

Here $P(A \ n\ U )$ represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

$P(A \ n\ U ) = \frac{Z}{ T}$

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

$Z = 35 + 42$

=> $Z = 77$

=> $P(A \ n\ U ) = \frac{77}{ 623}$

Also

$P(A)$ is the probability of the death occurring after 2000 and this is mathematically represented as

$P(A) = \frac{T_b + T_c}{ T}$

=> $P(A) = \frac{ 206+ 182}{623}$

$P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}$

=> $P(U |D ) = 0.198$

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

$P(O | B) = \frac{T_z}{ T}$

Here $T_z$ is the total number of death outside / camping before 2001 and the value is 117

$P(O \ n \ B) = \frac{117}{623}$

=> $P(O\ n \ B) = 0.188$

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

$P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}$

Here $P(B)$ is the probability that it was before 2001 , this is mathematically represented as

$P(B ) = \frac{T_a}{T}$

=> $P(B ) = \frac{235}{623}$

$P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}$

=> $P(O | B) = 0.498$

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3 years ago

Choose all that correctly describe the pattern of association between the two quantities on the scatter plots.

Likurg_2 [28]

Positive and negative

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2 years ago

Read 2 more answers

Can you help me on this

grigory [225]

Answer:

The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.

Step-by-step explanation:

For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.

There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.

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2 years ago

Write down the integer values satisfied by this diagram. I n -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Flauer [41]

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.

Learn more about the Number line:

brainly.com/question/557284

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2 years ago