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sergij07 [2.7K]
3 years ago
13

What is the difference? (x+5)/(x+2)-(x+1)/(X^2+2x)

Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0
\frac{x+5}{x+2} - \frac{x+1}{x^{2}+2x } =  \frac{x^{2}+4x-1 }{ x^{2} +2x}
Crank3 years ago
3 0

Answer:

\text{The difference is }\frac{x^2+4x-1}{x(x+2)}        

Step-by-step explanation:

Given two expression, we have to find the difference of these two.

\frac{x+5}{x+2}-\frac{x+1}{x^2+2x}

=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)}

\text{Taking (x+2) common from the denominator }

=\frac{1}{x+2}((x+5)-\frac{x+1}{x}

=\frac{1}{x+2}(\frac{x(x+5)-(x+1)}{x})

=\frac{1}{x+2}(\frac{x^2+5x-x-1}{x}

=\frac{1}{x+2}(\frac{x^2+4x-1}{x})

=\frac{x^2+4x-1}{x(x+2)}

which is required difference.

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Distance between the point (-2, 4) and (10, -1)?
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Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

d=√((x_2-x_1)²+(y_2-y_1)²)

√((10)-(-2))^2+(-1)-(4)^2)

√(144+25)

√(169)

13

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3 years ago
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The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results. What is the d
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Answer:

2

Step-by-step explanation:

The range of class A is 5-0 = 5

The range of class B is 3-0 = 3

the difference between 3 and 5 is 2.

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4 years ago
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Water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level. Identif
prohojiy [21]

Answer:

Depth below sea level is the independent quantity,

Water pressure is the dependent quantity

Step-by-step explanation:

An independent quantity is a variable that can be changed in an experiment. While, dependent quantity results from the independent quantity or we can say, that depends upon the independent quantity.

Here,

The water pressure increases 0.44 pounds per square inch (0.44 psi) with each increase of one foot in depth below sea level,

So, for measuring the water pressure we took depth below sea level as a variable,

⇒ Depth below sea level is the independent quantity,

While, with increasing depth by 1 foot the pressure is also increase by 0.44 pounds per square inches ⇒ pressure depends upon the depth

⇒ Water pressure is the dependent quantity.

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3 years ago
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For two events and , the probability that occurs is 0.8, the probability that occurs is 0.4, and the probability that both occur
sergey [27]

Answer:

P(B|A)=0.25  , P(A|B) =0.5

Step-by-step explanation:

The question provides the following data:

P(A)= 0.8

P(B)= 0.4

P(A∩B) = 0.2

Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.

To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:

P(B|A) = P(A∩B)/P(A)

      = (0.2) / (0.8)  

P(B|A)=0.25

To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:

P(A|B) = P(A∩B)/P(B)

          = (0.2)/(0.4)

P(A|B) =0.5

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4 years ago
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Answer:

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