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PtichkaEL [24]
2 years ago
9

2/(x-3)+3/(x+2)-(4x-7)/(x^2-x-6)

Mathematics
2 answers:
tigry1 [53]2 years ago
7 0

Answer:

The answer is 1/x-3

Step-by-step explanation:

2/x−3+3/x+2−(4x−7/x2−x−6)

=x+2/x²−x−6

=x+2/(x+2)(x−3)

=1/x−3

Maslowich2 years ago
4 0
The answer: (x-4)(x-2) / (x-3)
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How does recipe conversion factors work? For example, if I have a soup that is originally 24 servings and has 16 oz of fish, and
Neporo4naja [7]

You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.

If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.

Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.

A more direct way to do this is to solve for <em>x</em> in the following equation:

(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)

Then (omitting units)

<em>x</em> = 10 • 16 / 24 = 20/3

7 0
3 years ago
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
Ede4ka [16]

Answer:

None of these choices are correct.

Step-by-step explanation:

The quoted value of 99.875, means that this bond is sold at 99.875%  of the face value and not at a price of  $99.875.

Therefore, calculate price;

Price = 0.99875 * 1000

Price = $998.75

Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;

Brokerage fees = (0.055*998.75) = $54.93

Total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the choices is correct.

3 0
3 years ago
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for t
timama [110]

Answer:

five trucks per hour

Step-by-step explanation:

6 0
2 years ago
Express the distance 48,000,000 meters using scientific notation in meters and then in millimeters
KengaRu [80]

Answer:

Meters:4.8x10 to the 6th power

Millimeters:4.8x 9th power.

Be doin Pearson MathXL

I did 1 today.

8 0
2 years ago
Read 2 more answers
The table lists how poverty level income cutoffs​ (in dollars) for a family of four have changed over time. Use the midpoint for
frez [133]

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

<h3>How to find a midpoint?</h3>

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: \mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

Read more about the midpoint segment here:

brainly.com/question/11408596

7 0
2 years ago
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