Multiplying special cases of polynomials


1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answer:

3. A ten thousandths

4. C tenths

5. D hundredths

6. C. ten thousandths

Answer:

x > -18

x = { -17, -16 , -15 ,...............}

Step-by-step explanation:

[tex]\frac{x}{3}+4 > - 2[/tex]

Subtract 4 from both sides

[tex]\frac{x}{3}> - 2 - 4\\\\\frac{x}{3} > -6[/tex]

Multiply both sides by 3

[tex]x > -6*3\\\\x > - 18[/tex]

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

Maria bought five shirts and spent a total of $34.25. How much did one shirt cost if all of the shirts cost the same? *We know the price of 5, how do we find the price of 1? ( PLS HELP MEEEEEEE I HAVE MORE WORK TOO

Answer:

a=-2

Step-by-step explanation:

Combine common variables on both sides.

3a-7a-28=10a

-4a-28=10a

Add variables to other side

-28=14a

Divide each side by 14

a=-2

Step-by-step explanation:

hope it will helpful to you

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

Answer:

1) AC = 6 cm

2) AB = 16.2 cm      ( note that ^{2} is = square and \sqrt{  this is = square root)

3) BC = 12.65cm

Step-by-step explanation:

1) a^{2} + b^{2} = c^{2}

4.8^{2} + 3.6^{2} = AC^{2}

36 = AC^{2}

\sqrt{ }36 = AC

AC = 6

2)   a^{2} + b^{2} = c^{2}

AB^{2} + 6.75^{2} = 17.55^{2}

AB^{2} = 308.0025 - 25.5625

AB = \sqrt{ }262.44

AB = 16.2

3)  a^{2} + b^{2} = c^{2}

BC^{2} + 6^{2} = 14^{2}

BC^{2} = 196 - 36

BC = \sqrt{ } 160

BC = 12.65

I hope this helps a little bit.

Answer:

-40

Step-by-step explanation:

the equation will be 5x + 350 = 150

5x = -200

x = $-40/week

Answer:

I would say D

Step-by-step explanation:

Good Luck!

Answer:

4/9 will be the probability.

Hope it helps you!!

Answer:

the median should be 2.5

Answer:

2.5

Step-by-step explanation:

By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Now you will take off the numbers until you get to the middle number

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Because the middle two numbers are 2 and 3, you take the mean of the two numbers.

(2 + 3) / 2

= 2.5

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Answer:

49 pizzas

Step-by-step explanation:

Start by writing it as a equation,

P stands for Pizza

6p +97 = 8p

Minus 6p from both sides

97=2p

Divide by 2

P= 48.5

You would need to round up, so it would be 49 pizza

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

AC = 36

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

m∠UTW = 42

#teamtrees #PAW (Plant And Water)

(Sorry for the late response, this took some time).

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 216 in ^3

Explanation:

18 x 3 x 12 = 648

648 / 3 = 216 in ^3

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

6x + 12x + 24x + 48x.....

Step-by-step explanation:

A squirrel Is preparing for winter

It begins to collect acorns

Let x represent the acorns

He collects 6 the first day and doubles the amount he collects each day

The equation can be represented as

6x + 12x + 24x + 48x........

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

[tex]Volume=lwh[/tex]

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=300in³

Answer:

41.90

Step-by-step explanation:

FORMULA 1/3×πr×r×h

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Answer:

Write or draw.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

process of elimination

Answer:

option c.........it should be tan(20)=x/15.035

Answer:

d

Step-by-step explanation:

Answer:

Pliers

Step-by-step explanation:

From the picture attached,

Number of pliers = 4

Number of hammers = 2

Number of wrenches = 2

Number of saws = 2

Total collection of tools = 4 + 2 + 2 + 2 = 10

Since, two fifth means,

[tex]\frac{2}{5}=\frac{2\times 2}{5\times 2}[/tex]

[tex]\frac{2}{5}=\frac{4}{10}[/tex]

That means tool with 4 counts out of total 10 tools will be the answer.

And the answer is pliers.

Answer:

A. (0,1) and (1,2)

Step-by-step explanation:

I graphed it