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Alexus [3.1K]
3 years ago
8

What is the excluded values? 1. 2x/1-2x 2. -7/x^2 -2x -15

Mathematics
2 answers:
Sophie [7]3 years ago
8 0
Set each denominator equal to zero.
The values of x that cause the expression to be equal to zero are excluded from the domain.


1.
1 - 2x = 0
-2x = -1
x = 1/2

2.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x - 5 = 0 or x + 3 = 0
x = 5  or  x = -3
damaskus [11]3 years ago
3 0
The first answer is 1/2. 
the second answers are -3 and 5. 
I just had these questions on a test. I hope this helps you :)
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Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic (debit and credit) cards in making purchases (A
umka2103 [35]

Answer:

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have:

What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.

The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so P(B) = 0.37

P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So P(A/B) = 0.19

P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So P(A) = 0.19

The probability is

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.37*0.19}{0.19} = 0.37

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

4 0
3 years ago
What is the reciprocal of 1 and 1/9
podryga [215]

Answer:

reciprocal of 1 is 1 and 1/9 is 9.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

4 0
2 years ago
Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a s
Ierofanga [76]

Option B:

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$\beta=10\log\left(\frac{I}{I_0} \right)

where I_0=1\times10^{-12}\ \text {watts}/ \text m^2}

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

10^{12}

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$10^{12}=\left(\frac{I}{I_0} \right)

$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)

Now, do the cross multiplication,

I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}

I=1\times\ 10^{0} \ \text {watts}/ \text m^2}

I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}

Option B is the correct answer.

Hence I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}.

5 0
3 years ago
A model ship uses the scale 1 inch : 10 feet. If the model is 9.5 inches long, the ship is ____ feet long
Debora [2.8K]

Answer:

i got 95 inches

Step-by-step explanation:

5 0
2 years ago
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