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3 years ago

Which polynomial is factored completely

2 answers:

6 0

$a.\ 4(4x^4-1)=4[(2x^2)^2-1^2]=4(2x^2-1)(2x^2+1)-NOT\\\\b.\ 2x(y^3-4y^2+5y)=2xy(y^2-4y+5)-NOT\\\\c.\ 3x(9x^2+1)-YES\\\\d.\ 5x^2-17x+14=5x^2-10x-7x+14\\=5x(x-2)-7(x-2)=(x-2)(5x-7)-NOT$
Answer: c.

Ket [755]3 years ago

4 0

Answer: The correct option is c.

Explanation:

Reason for correct option:

$3x(9x^2+1)$

This expression cannot be factored further because $(9x^2+1)$ is the complete factor. Therefore the option c is correct.

Reason for incorrect option:

$5x^2-17x+14=5x^2-10x-7x+14=5x(x-2)-7(x-2)=(x-2)(5x-7)$

Since the given expression can be factored further therefore the option d is incorrect.

$4(4x^4-1)=4((2x)^2-1)=4(2x^2-1)(2x^2+1)$

Since the given expression can be factored further. Therefore the option a is incorrect.

$2x(y^3-4y^2+5y)=2xy(y^2-4y+5)$

Since the given expression can be factored further. Therefore the option b is incorrect.

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Read the statements shown below.

FromTheMoon [43]

Based on the given statements, the valid argument is that D. It cannot be concluded that Beth drew a triangle with an angle measure of 90°.
We known that she drew a triangle, but we don't know what triangle - so A and B are incorrect. Also C, because we know that she drew a polygon, because a triangle is a polygon.

3 0

3 years ago

The sum of the interior angles of a triangle is 180 the second angle of a triangle is 45 more than the first and the third angle

vfiekz [6]

First angle is x
x + (x + 45) + 2x = 180
4x + 45 = 180
4x = 180 - 45 = 135
x = 135 divided by 4
x = 33.75
first angle 33.75
second angle 78.75
third angle 67.5
checking
33.75 + 78.75 + 67.5 = 180

5 0

2 years ago

PLEASE HELP! LOVE YOU!

saw5 [17]

the base must be raised

for example

$log_{10}$ 55 = n ( the base is 10 ), then

55 = $10^{n}$

3 0

2 years ago

? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i

Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 $cm^{3}$ equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 $cm^{3}$ equals 0.034 oz.

By unitary method:

0.034 oz = 1 $cm^{3}$

1 oz = $\frac{1}{0.034}$

13.46 oz = $\frac{1}{0.034}\times13.46 =395.88 \ cm^{3}$

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 $cm^{3}$ . Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = $\pi r^{2} h$

$395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}$

By cross multiplication:

$395.88\times 7 =198\ h\\2771.16= 198\ h$

By dividing both side by 198

$h = 13.99$ $cm$

Therefore, height of the mug to the nearest centimeter is 14 cm.

6 0

3 years ago

Read 2 more answers

Last year a large trucking company delivered 5.5 x 10^5 tons of goods with an average value of $23,000 per ton. What was the tot

evablogger [386]

5.5*10^5 = 550,000 tons

$23,000 per ton

23,000 x 550,000 = $12,650,000,000 (total value)

Now to convert to scientific notation.

1.265 x 10^10

Hope that was useful :)

8 0

3 years ago