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3 years ago

What is the quotient of (x^3 + 3x^2 - 4x - 12) / (x^2 + 5x + 6)?

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

7 0

Answer:

Try using this app

Step-by-step explanation:

M A T H W A Y

all one word and no spaces

Cerrena [4.2K]3 years ago

5 0

Answer:

The quotient is (x-2)

Step-by-step explanation:

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Hey help! pls help me

Ede4ka [16]

Answer:

D 27

Step-by-step explanation:

yeah-ya...... right?

5 0

3 years ago

Classify the number -5

stepan [7]

Answer:

1. Whole number

Step-by-step explanation:

It's a negative number, but it is not a decimal, therefore it is a whole number.

3 0

2 years ago

Felix and Oscar are standing on a tower that is 112 feet high. Felix drops his penny while Oscar throws his penny down and it hi

creativ13 [48]

Answer:

It will take<u> 2.64 s</u> for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is <u>7.27 m/s or 23.85 ft/s</u>

Step-by-step explanation:

Given:

Height of the tower is, $h=112\ ft$

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, $t_o=2\ s$

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be $u_o$ .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

$y=u_ot+\frac{1}{2}at_o^2\\\\-34.14=2u_o-\frac{1}{2}\times9.8\times 2^2\\\\-34.14=2u_o-19.6\\\\2u_o=-34.14+19.6\\\\2u_o=-14.54\\\\u_o=\frac{-14.54}{2}=-7.27\ m/s$

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s = $7.27\times 3.28 = 23.85\ ft/s$

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

$y=ut+\frac{1}{2}at^2\\\\-34.14=0-\frac{1}{2}\times9.8\times t^2\\\\-34.14=-4.9t^2\\\\t^2=\frac{-34.14}{-4.9}\\\\t=\sqrt{\frac{-34.14}{-4.9}}\\\\ t=2.64\ s$

Therefore, time taken by Felix's penny to reach ground is 2.64 s.

8 0

4 years ago

Each week, Phyllis earns $20 per hour. Which graph expresses the relationship

tatiyna

Well, the answer to this question is the first option. The reason for this is because we can see that for every hour, Phyllis is earning and getting $20.00 whereas the other graphs are not showing this relationship.

3 0

3 years ago

How are sales tax, tip and markup related

Ronch [10]

one is based on the other, is just extra charge based on the one before it.

say the store manager bought some scooter, she paid $10 for it.

well, she's not going to sell it for $10 because there are other costs, shipping, storage, cleaning up the scooter while in the store before is sold, rent for the store and so on, so the scooter is going to sell for more than $10............ hmmmm say $15.

so then the manager bumped up the price by $5, that bumped up amount is the markup.

now, the manager was so nice to you, she was wearing a nice perfume, so you give her a tip, the tip is usually, not always, but usually based on the price of the product, say you give her 10% tip, so 10% of 15 is 0.15.

whenever you buy that scooter, it comes with sales tax, provincial taxation to pay for public works, so you're not really going to pay $15 flat, it'll be $15 and some change, say tax is 20%, so you'll be buying that scooter for $15.30.

so, the scooter went from $10 to $15 due to markup to $15.15 with the tip to $15.45 if we add the 0.30 in tax.

the tip is based on the marked up price, and the tax is also based on the marked up price, though sometimes the tip is based on the after-tax price, not always.

7 0

3 years ago