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VikaD [51]
2 years ago
8

What is the least common denominator of the rational expressions below? 4/x^2-7x + 1/x^2-4x-21

Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

x-7

Step-by-step explanation:

1. Find the GCF of x^2-7x (which is x) and factor x^2-4x-21

2. Multiply 1/(x-7)(x+) by x and 4/x(x-7) by (x+3) to get (x-7) as both denominators

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2y = 2x-4<br> y + 3x = 10<br><br> (substitution)
devlian [24]

Answer:

x = 3, y = 1

Step-by-step explanation:

2y = 2x - 4, so y = x - 2. Substituting this into the bottom equation and solving for x:

x - 2 + 3x = 10

4x - 2 = 10

4x = 12, so x = 3 and y = 1.

4 0
1 year ago
I need to algebraically prove that a polynomial I created is true for a project.
natta225 [31]

The factors are

(x-y)(x-y)
or
(x-y)^2

Explanation:

We need to factor the trinomial
x^2-2xy+y^2

The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)

Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.

The factors are

(x-y)(x-y)
or
(x-y)^2

Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy

<span>x^2-2xy+y^2</span>

7 0
3 years ago
If the vertex is 4,1 and the directrix is y=-0.5, then what is the equation?
RSB [31]
The equation is (x-4)^2=6(y-1)
6 0
3 years ago
Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover
alexira [117]

Answer: \frac{A_{collage}}{15.75\ in^2}

Step-by-step explanation:

Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:

1. You need to use the formula for calculate the area of a rectangle:

A=lw

Where "l" is the length and "w" is the width.

2. Using the formula, you must calculate the area of an small picture.

You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2

3. Calculate the area of the collage using the formula:

A_{collage}=(l_{collage})(w_{collage})

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

\frac{A_{collage}}{15.75\ in^2}

5 0
3 years ago
Read 2 more answers
What is 3/16 of 200 written as a percentage
Georgia [21]

The expression 3/16 of 200 expression as a percentage is; 6.25%.

<h3>What is the value of 3/16 of 200 written as a percentage?</h3>

The value of the expression given in the task content can be evaluated as follows;

3/16 × 200 = 12.5

Hence, the value 12.5 expressed as a percentage of 200 is;

(12.5/200) × 100%.

= 6.25%.

Read more on percentages;

brainly.com/question/16865197

#SPJ1

7 0
2 years ago
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