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LenaWriter [7]
3 years ago
14

What is the simplified form of x minus 2 over x squared plus x minus 6divided byx squared plus 5x plus 4 over x plus 4?

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

\dfrac{1}{x^2+4x+3}

Step-by-step explanation:

You have asked for the simpilfied form of ...

x-\dfrac{2}{x^2}+x-\dfrac{6}{x^2}+5x+\dfrac{4}{x}+4

That would be ...

\dfrac{7x^3+4x^2+4x-4}{x^2}

We suspect that's not what you meant. Parentheses are required for grouping when you write math expressions in text form. They work best using math symbols instead of words. We think you mean

... ((x -2)/(x^2 +x -6))/((x^2 +5x +4)/(x +4))

_____

Maybe you want to simplify ...

\displaystyle\frac{\left(\frac{x-2}{x^2+x-6}\right)}{\left(\frac{x^2+5x+4}{x+4}\right)}=\frac{(x-2)(x+4)}{(x-2)(x+3)(x+4)(x+1)}\\\\=\frac{1}{(x+1)(x+3)}=\frac{1}{x^2+4x+3}

_____

<em>Comment on simplifying rational expressions</em>

Division of fractions works the same whether you're working with numbers or polynomials (or anything else). Dividing by something is the same as multiplying by its inverse (reciprocal).

(a/b)/(c/d) = (a/b)·(d/c)

I learned this as "invert and multiply". I've recently seen it referred to as "copy dot flip", meaning you copy the numerator, use a dot symbol to indicate multipication, then flip the denominator (make its reciprocal) to become what you're multiplying by.

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Using the primary trigonometric formulas you learned in Lesson 1, explain why the equation  cos q = 1.4 has no solutions.​
AysviL [449]

Answer:

see explanation

Step-by-step explanation:

For the equation to have solutions , then

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Since cosq = 1.4 ( out with limits )

Then the equation has no solutions

8 0
3 years ago
Jerry goes to a theme park to ride the roller coasters. The theme park charges an entry fee in addition to a fee for each roller
ratelena [41]
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x+5y=35
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The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test. 
7 0
3 years ago
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
photoshop1234 [79]

Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

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Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

8 0
3 years ago
10. Triangle A and triangle B are similar. The perimeter of triangle A is 15 m and the perimeter of
pentagon [3]

Answer:

2:1

Step-by-step explanation:

I think I'm not 100 percent sure

6 0
3 years ago
WILL MARK BRANLIEST ANSWER
djyliett [7]
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3 years ago
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