Please Expand This
2p(7p=7)

[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ axy} [/tex]

Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D :  [tex]3x + 2[/tex]

Let the  polynomial A(x) has one factor f(x).

Then, it means, we have:

[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]

Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]

Thus, the other factor of that polynomial is

[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]

For given case, the polynomial [tex]A(x)[/tex] is

[tex]A(x) = 6x^2 - 7x + 2[/tex]

Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]

Thus, its second factor is obtained as:

[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]

Thus, the second factor of the given polynomial is

Option D :  [tex]3x + 2[/tex]

Learn more about factors of polynomials here:

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[tex]7 \div \frac{3}{4} = \\ [/tex]

[tex]7 \times \frac{4}{3} = \\ [/tex]

[tex] \frac{7 \times 4}{3} = \\ [/tex]

[tex] \frac{28}{3} \\ [/tex]

Answer:

1/4

Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.

You're welcome! Please mark me as Brainliest >w<

[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]

Answer:

Yes they are similar

Step-by-step explanation:

I hope this helps you have a very nice day

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

Answer:

4/6 but its 2/3 simplified.

Step-by-step explanation:

You may subtract the numerator but not the denominator.

Answer:

5 ≤ y ≤ 205

Step-by-step explanation:

Input values 0 and 50 for x in the function f(x) - 4x + 5

Solve:

The range is between these two points: 5 ≤ y ≤ 205

-Chetan K

Answer:

ok so basically 21

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

31 /150

Decimal Form: 0.206

Answer:

The answer is B.

Step-by-step explanation:

First I multiplied 5.2 x 5.2 and got 27.04. Then I multiplied 5.3 x 5.3 and got 28.09. So the square root of 28 is between 5.2 and 5.3

Hope I helped yo.

Answer:

3x

Step-by-step explanation:

Since k(x)=27x^3, we replace it in h( k(x) ), we will get:

h(27x^3)

Given that h(x)={3}√x [my keyboard doesn't support cubic root]

= {3}√(27x^3)

27 is 3^3,

Simplifying, the final answer is:

3x.

Answer:

3x

Step-by-step explanation:

[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]

Answer:

Step-by-step explanation:

2 kl/min * 60 minutes = 120 kl

Answer:

120 kl/min

Step-by-step explanation:

There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min

Answer:

After the loss the cow was sold for 28000 and the goat sold for after the 10% profit was 16500

Goat profit was 1500

Cow loss was - 7000 therefore thw total profit was 8000

Answer:

2

Step-by-step explanation:

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

Step-by-step explanation:

if x = -2

= 9x² - 4x - 3

= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]

= 9 × 4 + 8 - 3

= 36 + 8 - 3

= 44 - 3

= 41

[tex]\huge{\boxed{{ x = -2}}}[/tex]

[tex] 9x² - 4x - 3[/tex]

[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]

[tex]↠ 9×4+8-3[/tex]

[tex]↠ 36 + 8 -3[/tex]

[tex]↠ 44-3[/tex]

[tex]↠ 41[/tex]

[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]

Answer: 45.168

Step-by-step explanation:  First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168

Answer:540-452=88

x=88

sum of all is always 540 for pentagons

Step-by-step explanation:

Answer:

x = 13.5

BC = 30

Step-by-step explanation:

BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.

Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5

Answer:

nvm its acctually B. 460

Step-by-step explanation:

just did it

The expected value of the prize that will be awarded is $460.

The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.

here, we have,

to determine the expected value:

The expected value is calculated using:

E(x) = Σx * P(x)

So, we have:

E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2

Evaluate

E(x) = 460

Hence, the expected value of the prize that will be awarded is $460

Read more about expected values at:

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Answer:

  y ≥ 4

Step-by-step explanation:

The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.

Answer:

$135

Step-by-step explanation:

15-12=3/2=1.5

12+1.5=13.5

13.5*10=135

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square metre, then

total cost = 135 x 12 = $1620

Answer:

Its A- 25 coin tosses

Step-by-step explanation:

I took the test

Step-by-step explanation:

the output is -17 while the input is 5

Answer:

1496

Step-by-step explanation:

check the other answer for explanation

Answer:

  y = cos(x) -1

Step-by-step explanation:

The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.

  y = cos(x) -1

Answer: 5 banana 3 dollar

Step-by-step explanation:

per dollar"→divide by dollars

15\text{ bananas}:

15 bananas:

\,\,9\text{ dollars}

9 dollars

\frac{15\text{ bananas}}{9}:

9

15 bananas

​

:

\,\,\frac{9\text{ dollars}}{9}

9

9 dollars

​

\frac{5}{3}\text{ bananas}:

3

5

​

 bananas:

\,\,1\text{ dollar}

1 dollar

\frac{5}{3}\text{ bananas for every 1 dollar}

3

5

​

 bananas for every 1 dollar

\mathbf{\frac{5}{3}\text{ bananas per dollar}}

​

 5 bananas per 3 dollar

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles.

In 1 hour, a man will walk for 3 miles.

If a machine can make 100 bottles in 20 minutes.

In 1 minute the machine can make 100/20 = 5 bottles.

We have,

Cost of 15 banana = $9

This can be written as:

15 banana = $9

Divide 9 on both sides.

15/9 banana = $1

5/3 banana = $1

The cost of one banana:

15 banana = $9

1 banana = 9/15

1 banana = 3/5

1 banana = $0.6

Thus,

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

Learn more about unit rates here:

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Answer:

  8. parallel

  9. not parallel

Step-by-step explanation:

Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.

We can compare the whole to the short part:

  102/45 ?? (41.8 +33)/33

  2.266... = 74.8/33 = 2.266...

The sides are proportional, so the segments are parallel.

__

We can compare the longer portion to the shorter portion.

  38/19 ?? 52/24

  2 ≠ 2 1/6

The sides are not proportional, so the segments are not parallel.

_____

Additional comment

Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...

  19/24 vs 38/52

  19/(19+38) vs 24/(24+52)

or the inverse of these:

  24/19 vs 52/39, for example

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151