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Gwar [14]
3 years ago
7

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is t

rue about each solution. (3 points)
Equation #1
|2x - 3| = -17

Equation #2
|5x + 3| = 12

a-Equation #1 and Equation #2 have the same number of solutions.
b-Equation #1 has more solutions than equation #2.
c-Equation #1 has fewer solutions than equation #2.
d-None of the statements above describe the number of solutions to equations shown.
Mathematics
1 answer:
grin007 [14]3 years ago
5 0
Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.

Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5

Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
    FALSE
b. Equation @1 has more solutions than Equation #2.
    TRUE
c. Equation #1 has fewer solutions than equation #2.
    FALSE
d. None of the statements a,b, or c apply.
    FALSE

Answer: b.

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3 years ago
Is the number of members of Club X greater than the number of members of Club Y ? (1) Of the members of Club X, 20 percent are a
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Answer:

Yes

Step-by-step explanation:

The 20% of members of club X that are also members of club Y can be written as: P(Y/X) = 20% (that is, the probability of belonging to Y given that it belongs to X)

The 30% of members of club Y that are also members of club X can be written as: P(X/Y) = 30% (that is, the probability of belonging to X given that it belongs to Y)

The formula of conditional probability of A given B is  

P(A/B) = (A∩B) / P(A)

Where (A∩B) is the probability that both events A and B occur and P(A) is the probability of A.

Based on that, we can write,

P(Y/X) = P(Y∩X) / P(X) = 20 % = 0.2

P(X/Y) = P(Y∩X) / P(Y) = 30 % = 0.3

Clearing P(Y∩X) of both equations and equalizing,

P(Y/X).P(X) = P(X/Y).P(Y)

Moving terms ,

P(X) / P(Y) = P(X/Y) / P(Y/X) = 0.3 / 0.2 = 1.5

That is, P(X) is 1.5 times P(Y), which means that the amount of members of X is greater than the members of Y.  

7 0
2 years ago
Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.
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600 = 1800 ( 1- 0.45)^n

Solve for n

<span>N = 1.83 years</span>

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2 years ago
Please let me know I am confused
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2. 2,009,604; 2,009,832; 2,103,425; 2,112,300
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