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4 years ago

The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?

Mathematics

2 answers:

SOVA2 [1]4 years ago

6 0

Answer: d on eng

Step-by-step explanation:

irina [24]4 years ago

5 0

A value will be excluded from a rational expression if it causes the denominator to be zero as dividing by zero is undefined.

An example that would work for your specific question is:

$y = \frac{(x - 3)(x-1)}{(x-2)(x-5)}$

If you plug in either 2 or 5 into this equation the denominator will be zero causing the expression to undefined there, so the values 2 and 5 are excluded from the domain of the expression.

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If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?

Sergio [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

P1(3, 2)

P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

$\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}$

$=\sqrt{3^2+6^2}$

$=\sqrt{45}$

$=\sqrt{5}\sqrt{3^2}$

$=3\sqrt{5}$

Thus, the length of the segment is:

$\:\:\:l=3\sqrt{5}$

Determining the equation of a line containing the segment P1P2

Given the points

P1(3, 2)

P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)$

$m=\frac{8-2}{6-3}$

$m=2$

Using the line point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

$y-2=2\left(x-3\right)$

Add 2 to both sides

$y-2+2=2\left(x-3\right)+2$

$y=2x-4$

Thus, the equation of a line containing the line segment P1P2 is:

$y=2x-4$

8 0

3 years ago

people of brainly need help ASAP. Why are the words hot, cold, wet, and dry so useful to describe climate?

oksano4ka [1.4K]

Answer:

Because each word describes something completely different compared to the others. You normally do not hear of a hot winter or a wet desert.

5 0

3 years ago

Read 2 more answers

A librarian recorded the number of books that were checked out on each of the last 9 days,as shown below. 142, 136, 125, 148, 15

lutik1710 [3]

Mean is the sum of values divided by the count of values.

The sum of values is 1,235.

There are 9 values.

1235/9 = 137.22

4 0

3 years ago

Read 2 more answers

Lin sold 4 more shirts than Greg. Fran sold 3 times as many shirts as Lin. In total the three sold 51 shirts. Which represents t

Alex17521 [72]

<span>Your Answer: D

Why....

You can make equations out of the information
Let L be Lin, G be Greg, and F be Fran

L = 4 + G ---"Lin sold 4 more shirts than Greg"
F = 3L ---"Fran sold 3 times as many shirts as Lin"
F + G + L = 51 ---"In total the three sold 51 shirts"

Use F + G + L = 51
Substitute the equations in for F and L (because you need to know the G) like this....

(3L) + G + (4+G) = 51

You still have a variable besides G in there... you can use the L= 4+G and substitute again so that there are only G's

( 3(4+G) ) + G + (4+G) = 51 ---- SIMPLIFY :D
( 12 + 3G ) + G + 4 + G = 51
12 + 3G + G + 4 + G = 51 ---Combine like terms
16 + 5G = 51 </span>

6 0

4 years ago

Marcel and his 8 friends have a snow shoveling business. Last season, they earned a total of $2,240.64. How much

NemiM [27]

The answer is $248.96
there are 9 people dividing the money amongst them
please vote brainliest:)

5 0

2 years ago