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3 years ago

What is the least common denominator of the rational expressions below? 1/x^2 - 4/3x^2+15x

Mathematics

2 answers:

mylen [45]3 years ago

7 0

Answer:3x^2(x+5)

Step-by-step explanation: A P E X

vladimir1956 [14]3 years ago

5 0

Answer:

The LCD is 3x²

The other two denominators can be factors of 3x²

Step-by-step explanation:

To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.

For the first term: 1/x²

3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²

Second term: Leave it as it is.

For the third term: 15x

The implied denominator is 1

3x² ÷ 1 = 3x² 3x² × 15 = 135x²

The equivalent is 135x²/3x²

To check the validity, substitute a value for x and calculate the numbers.

For example let x = 3

The original expression becomes

1/3² + 4/3(3²) - 15(3)

1/9 + 4/27 - 45

With the LCD it is

3/27 + 4/27 - 1215/27

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{[(8-3)x2]+[5x6)-5]} divided by five

Kobotan [32]

{[(8 - 3) * 2] + [(5 * 6) - 5]} / 5 =
= {[2 * 8 + 2 * (-3)] + 30 - 5} / 5 =
= [(16 - 6) + 25] / 5 =
= (10 + 25) / 5 =
= 35 / 5 =
= 7

Brackets make it look complex but it's not that bad at all :)

6 0

3 years ago

Read 2 more answers

Which is the best to buy? a) 6 shirts for $25.50 b) 4 shirts for $18.00 c) 5 shirts for $21

katrin2010 [14]

Answer:

C. 5 Shirts for $21

Step-by-step explanation:

I conclude this when I calculate the amount of money needed for a singular shirt in every "bundle" by using division.

First I calculated how much you'd have to pay for one shirt in the six-pack collection fo shirts, and I resulted in $4.25 for each shirt. The problem in number form is: 25.50÷6=4.24. By dividing the total with six you result in the singular price of the individual price of each shirt in the pack.

As for the other packs, my calculations resulted in $4.50 for the 4 shirts pack and $4.20 for the 5shirts pack.

5 0

2 years ago

Write the equation of the line in slope-intercept form that goes through the points: (2, 4) and (7, -1) *

avanturin [10]

Answer:

1. slanting upward because the slope is positive one.

2. A: 3/4 B: 4/-3

3. A: 3 B: y=3x-10

1. (-2-7)/(-4-5) = -9/-9 = 1

2. A: (7-4)/(7-3) = 3/4

B: (8-0)/(-6-0) = 8/-6 = 4/-3

3. find the slope first so (4-1)/(2-1)= 3/1. then you plug in point C to find the y intercept so y=mx+b would be 2=3(4)+b which makes it so b is -10. the new equation would be y=3x-10

Step-by-step explanation:

4 0

3 years ago

What is the value of x in the equation 3x – 1/9 = 18, when y = 27?

Molodets [167]

Answer:

Here you go mate!

Step-by-step explanation: