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3 years ago

Drag each expression to the correct location on the model. Not all will be used

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Answer: $\dfrac{x^{2}+2x+1 }{\mathbf {x-1}} \cdot \dfrac{\mathbf {5x^{2} +15x-20} }{7x^{2} +7x}$

Step-by-step explanation:

$\dfrac{\dfrac{5x^{2} +25x+20}{7x} }{\dfrac{x^{2} +2x+1}{7x^{2} +7x} } =\dfrac{5x^{2} +25x+20}{7x} \times \dfrac{7x^{2} +7x}{x^{2} +2x+1}=\dfrac{5x^{2} +25x+20}{7x} \times \dfrac{7x(x +1)}{(x+1)^{2} }=\\\\=\dfrac{5x^{2} +25x+20}{x+1} =\dfrac{{5(x+1)(x+4)}}{x+1}=5(x+4)$

$5(x+4)=\dfrac{5(x-1) \cdot (x+4)}{x-1}=\dfrac{5x^{2} +15x-20}{x-1}$

Thus, the expressions will be used: (5x² + 15x - 20) and (x + 4).

Let's check:

$\dfrac{x^{2}+2x+1 }{\mathbf {x-1}} \cdot \dfrac{\mathbf {5x^{2} +15x-20} }{7x^{2} +7x} =\dfrac{(x+1)^{2} }{x-1} \cdot \dfrac{5(x-1) \cdot (x+4)}{7x(x+1)} =\\\\=\dfrac{(x+1) \cdot 5 \cdot (x+4)}{7x} =\dfrac{5x^{2} +25x+20}{7x}$

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John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco

Nikitich [7]

Answer:

"Ambassador of Jazz"

Explanation:

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Bebop required instrumental virtuosity and creativity to improvise as it involves fast tempo, and numerous of rapid changes of chords and keys. Personal characteristics that Gillispie had in excess.

As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

Gillespie was a leader in music and an innovator who greatly influenced the musical development of this genre. He played along with other important jazz and bebop players of his time.

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3 years ago

Simplify negative 7 and 1 over 8 − negative 9 and 1 over 2.

Komok [63]

-7 1/8 - (-9 1/2) =
-7 1/8 + 9 1/2

-7 + 9 = 2
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answer is : 2 3/8 (or 19/8)

6 0

4 years ago

Read 2 more answers

A 16 foot ladder is leaning up against the wall. If the bottom of the latter is 6 feet from the base of the wall, how far up the

PSYCHO15rus [73]

For this question, you must use the Pythagorean theorem.
a^2 + b^2 = c^2

In this situation c=16 and a=6
First do 16^2. This equals 256
Second do 6^2. This equals 36

Now, subtract 36 from 256 and fond the square root.

Your answer should be 14.8

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3 years ago

How long will it take for an investment to triple if it is compounded continuously at 12%

myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

$3P = P(1 + \frac{12}{100} )^{y}$

⇒ $(1 + \frac{12}{100} )^{y} = 3$

⇒ $(1.12)^{y} = 3$

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, $\log a^{b} = b \log a$ }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

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3 years ago

En una caja de muchos bombones hay hasta tres sabores de ellos. ¿Cuántos se deben extraer como mínimo al azar para obtener con s

avanturin [10]

Answer:

At least 13 chocolates must be removed

Step-by-step explanation:

If there are three flavors, the probability of drawing 1 would be: 1

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At least 15 chocolates must be extracted to theoretically guarantee 5 chocolates each, but how we are interested in knowing is that a single flavor has 5 chocolates, so we discard the last two chocolates that represent the other two flavors

Therefore, for there to be safely 5 chocolates of the same flavor, at least 13 chocolates must be removed.

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3 years ago