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s344n2d4d5 [400]

3 years ago

13

Which of the following is the correct factorization of the polynomial below?

1 answer:

diamong [38]3 years ago

7 0

Answer: correct answer is B.(2x+3y)(4x^2-6xy+9y^2)

8x^3 + 27y^3

(2x)^3+(3y)^3

(2x+3y)(4x^2-6xy+9y^2) <----answer

You might be interested in

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

4 years ago

Naty bought a dress for $24.95 and a skirt for $14.95.

FrozenT [24]

Answer:

Total items = $39.90

Sales tax amount = $3.7905

Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

Total items = dress + skirt

= $24.95 + $14.95

= $39.90

Sales tax = 9.5%

Sales tax amount = 9.5% of total

= 9.5/100 × $39.90

= 0.095 × 39.90

= $3.7905

Total cost = Total + sales tax amount

= $39.90 + $3.7905

= $43.6905

To the nearest hundredth

= $43.691

Sales tax is the amount of money imposed by government on the sales of some items

Total cost is the cost of all items including sales tax

7 0

3 years ago

Add: 7/8 + 5/6 .......

Rashid [163]

Answer:

1 17/24

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

41/24

Decimal Form:

1.7083

Mixed Number Form:

1 17/24

6 0

3 years ago

Read 2 more answers

-6d=-42 can you help me solve please

eduard

Given the equation :

$-6d=-42$

So, to find d , divide both sides by ( -6 )

So,

$\begin{gathered} \frac{-6d}{-6}=\frac{-42}{-6} \\ \\ d=7 \end{gathered}$

Note: when we divide two negative numbers, the result will be a positive number

5 0

1 year ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BQuestion%3A%7D" id="TexFormula1" title="\huge\boxed{Question:}" alt="\huge\b

iragen [17]

The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

7 0

3 years ago

Read 2 more answers