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vovangra [49]
3 years ago
6

What is the quotient?

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

Choice B is the answer.

Step-by-step explanation:

We have given an expression.

\frac{2y^{2}-6y-20 }{4y+12} ÷ \frac{y^{2}+5y+6 }{3y^{2}+18y+27 }

We have to find the quotient of the given expression.

\frac{2y^{2}-10y+4y-20 }{4(y+3)} ÷ \frac{y^{2}+2y+3y+6 }{3(y^{2}+6y+9) }

\frac{2y(y-5)+4(y-5)}{4(y+3)} ÷ \frac{y(y+2)+3(y+2)}{3(y^{2}+3y+3y+9) }

\frac{(2y+4)(y-5)}{4(y+3)} ÷ \frac{(y+2)(y+3)}{3(y+3)(y+3)}

By changing distribution into multiplication, we have

\frac{2(y+2)(y-5)}{4(y+3)} × \frac{3(y+3)(y+3)}{(y+2)(y+3)}

\frac{3(y-5)}{2} which is the answer.

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What is the value of 2 over 3 to the power of 0 to the power of -3
Schach [20]

Answer:

((\frac{2}{3})^0)^{-3}=1

Step-by-step explanation:

We need to find the value of ((\frac{2}{3})^0)^{-3}

Solving:

We know, (a^b)^n = a^{b*n}

((\frac{2}{3})^{0*-3})

(\frac{2}{3})^0

a^0 = 1

so,

(\frac{2}{3})^0=1

So, the value of ((\frac{2}{3})^0)^{-3}=1

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3 years ago
Identify the numerical coefficient of the term -13x^2y
nalin [4]

Answer:

2y

Step-by-step explanation:

5 0
4 years ago
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years, to th
Lady bird [3.3K]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

4 0
3 years ago
Read 2 more answers
Can I please get some help on this question ?
FrozenT [24]

Answer:

Step-by-step explanation:

I will help u if you help me????

7 0
2 years ago
Who knows how to do this ​
IgorC [24]

Answer:

<h2>144 {cm}^{2}</h2>

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

=  {l}^{2}

plugging the value of length,

{(12)}^{2}

Evaluate the power

= 144 square cm

Hope this helps...

Best regards!!

7 0
3 years ago
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