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3 years ago

Spencer is asked to factor the polynomial 256x^4y^2−y^2 completely over the integers. His work is shown below.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

7 0

Answer:

Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

Step-by-step explanation:

Step 1: Factor

256x^4y^2−y^2

y^2(256x^4 - 1)

y^2(16x^2 - 1)(16x^2 + 1)

y^2(4x + 1)(4x - 1)(16x^2 + 1)

Answer: Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

Olegator [25]3 years ago

5 0

Answer:

answer B

Step-by-step explanation:

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Answer:

2 and 3

Step-by-step explanation:

the x-intercept is 2

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2 years ago

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2 years ago

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What is the area,in square centimeters,of a circle that has a circumference of 16 centimeters?

Ray Of Light [21]

Answer: $20.38\ cm^2$

Step-by-step explanation:

We know that the circumference of a circle is given by :-

$C=2\pi r$ , where r is the radius of the circle .

Given : Circumference of circle = 16 cm

Then, $16=2\pi r$

i.e $r=\dfrac{16}{2\pi}=\dfrac{8}{\pi}$ (1)

We know that the area of circle is given by :-

$A=\pi r^2$

i.e. $A=\pi (\dfrac{8}{\pi})^2$ [From (1)]

i.e. $A=\pi (\dfrac{64}{\pi^2})$

i.e. $A=\dfrac{64}{\pi}$

Put $\pi=3.14$

$A=\dfrac{64}{3.14}=20.3821656051approx20.38\ cm^2$

Hence, area of circle = $20.38\ cm^2$

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2 years ago

Luke and Matthew ran a lemonade stand on Saturday.

SOVA2 [1]

Answer:

15$

Step-by-step explanation:

Okey so first we establish that 25 is 100%

Matthew gets 60%

First we find 10% by dividing both sides by 10

2.5 = 10%

Then we times these numbers by 6 to find 60%

60% = 15

Matthew will earn 15$

Luke will earn 10$

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3 years ago

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(y-7)^2=2y^2-4y+73 solve for y

masya89 [10]

Answer:

y=-4 or y=-6

Step-by-step explanation:

y^2-14y+49=2y^2-4y+73

y^2+10y+24=0

(y+4)(y+6)=0

y=-4 or y=-6

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2 years ago