Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Factor x2 − 16. Show your work. (3 points) (10 points)

Answers

Answer 1

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)


Related Questions

please help I dont get it
20 points

Answers

Answer:

10

Step-by-step explanation:

P(getting blue marbles) = 7/9

so;

x/45 = 7/9

x = 35

so the number of blue marbles is 35

45 - 35 = 10 red marbles

hope it helps .

all the best

enter the mean of the data 9,5,7,7,12

Answers

i believe it is 7 or 7
sorry I just needed more words to send the message
The Mean Of The Data Is 8

SOMEONE PLEASE HELP ASAP! Normal distribution models what type of variable? A.discrete random variable B.random variable C.discrete continuous variable D.random continuous variable

Answers

Answer: D. random continuous variable

A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.

Please solve this very very easy attachment that will be down below!

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

KFC or KCF

3/4 times 4/1= 12/4 which is 3

Which is the best first step and explanation for solving this system of equations?
3x + 4y = 12
3x = 2y - 8
CE
IC
3x + 4y + 3x = 12 + 2y - 8
Add the two equations to one another.
3x + 4y - (3x) = 12 - (2y - 8)
Subtract the second equation
from the first equation
9x + 12y = 36
3x + 4y - 8 = 12 - 8
Multiply both sides of
the first equation by 3.
Subtract an equal amount from
both sides of the first equation


Answers only please

Answers

Answer:

Subtract the second equation

from the first equation

Hope this helps.

Tom owns a square plot of land. He knows that the area of the plot is between 3000 and 3100
square meters.

Answers

Answer:

Side of land = 55 m (Approx)

Step-by-step explanation:

Note: The given question is incomplete.

Given:

The land is in square shape.

Area of the land = between 3000m² and 3100m²

Find:

Approx side of the land.

Computation:

Side of land = [tex]\sqrt{Area\ of\ land}[/tex]

Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]

Side of land =[tex]54.77\leq side \leq 55.67[/tex]

Therefore, Side of land = 55 m (Approx)

Which is the graph of the linear equation 3x + 2y = 6?

Answers

The answer is B. If you write down the values of X and Y you’ll find out that the right answer is B.

Answer:

its the middle one

Step-by-step explanation:

if y was 0

3x+2(0)=6

3x=6-0

x=2

if x was 0

3(0)+2y=6

2y=6

y=3

If you diluted 300 mL of 8% benzocaine lotion to 5% how much could you produce

Answers

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The amount of benzocaine in 300 ml solution is,

Amount = 0.08 × 300 = 24ml

Since after the dilution the amount of benzocaine will be the same, therefore, we can write,

0.05 of X ml = 24 ml

X = 24/0.05

X = 480 ml

Hence, If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

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I will give brainliest answer

Answers

Answer:

theres google for this

Step-by-step explanation:

37.5

Answer:

I think it should be A=37.5 I'm not so sure,hope this helps tho!

Step-by-step explanation:

Plssssss help meeeee!!!!!

Answers

Answer:in a the triangle is isosceles therefore it bisects triangle equally into two 90°

B they add up to 180°

C Within the individual triangles they add up to 180°

Step-by-step explanation:I hope this helps

In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequence? What would be the first and last numbers be? (6, 14, 30, 62, 126)

Answers

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

find the value of x

Answers

Answer:

62○

Step-by-step explanation:

To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)

Answer:

X = 62

Step-by-step explanation

To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.

118 + X = 180, OR 180 - 118 = x

X = 62

[tex]If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?[/tex]

Answers

Answer:

my boi

Step-by-step explanation:

Which equation represents the graphed function?
0 -3x + 2 = y
0 -2/3x+2=y
O 3/2x-3=y
O 2x - 3 = y

Answers

Answer:

3/2x-3 =y

Step-by-step explanation:

when x = 0 the equation should equal -3 because the y intercept is (0,-3) which narrows down to the last two.

The x-intercept is (2,0) input these values into the equation and the third option gives these values.

[tex]\frac{3}{2}[/tex](2) -3 = y ,

3-3=y

y=0 Therefore the third option is the answer

Given the ordered pairs (2,3), (-2, 6), apply the translation of (-3,5)
a) (-1, 8) (-5, 11)
b) (5, 8) (1, 11)
c) (-1,-2) (1, 11)
d) (5,-2) (1,1)

Answers

Answer:

(-1, 8) (-5, 11)

Step-by-step explanation:

We are subtracting 3 from the x coordinate and adding 5 to the y coordinate

(2,3) becomes (2-3, 3+5) = (-1,8)

(-2,6) becomes (-2-3, 6+5) = (-5,11)

Please answer this asap this is very easy and im in a rush

Answers

Answer:

1/10

Step-by-step explanation:

Of means multiply and is means equals

3/5 * 1/6 =

3/30

1/10

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to multiply the numerators by each other and the denominators by each other and reduce if needed.

[tex]\frac{3}{5} \times\frac{1}{6}[/tex]

[tex]3\times1=3[/tex]

[tex]5\times6=30[/tex]

[tex]=\frac{3}{30}[/tex]

Now reduce:

[tex]3 \div3=1[/tex]

[tex]30\div3=10[/tex]

[tex]=\frac{1}{10}[/tex]

Hope this helps.

If f(x)=4x-3,what is f(x)^-1?

Answers

Answer:

Choice A

Step-by-step explanation:

I like to solve this by reversing the locations of the x and y, and then isolating y again.

y=4x-3

x=4y-3

x+3=4y

y=(x+3)/4

Hope this helps!

What is the value of this expression when a=4, b=-5, and c=-7?

Answers

Answer:

Answer: C. 6 1/6

Step-by-step explanation:

yes

The required value of the expression [tex]\frac{a + 2bc}{3a}[/tex]  is 74 / 12 or   37 / 6 .

Given that,
The expression [tex]\frac{a + 2bc}{3a}[/tex]  is given, The value of the expression at a = 4, b = -5, and c = -7 is to be determined.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The given expression
=  [tex]\frac{a + 2bc}{3a}[/tex]
At  a = 4, b = -5, and c = -7
[tex]= \frac{4 +2 * -4 * -5 }{3 * 4 } \\= 74 / 12\\= 37 / 6[/tex]

Thus, the required value of the expression  [tex]\frac{a + 2bc}{3a}[/tex]  is 74 / 12 or   37 / 6 .

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help please on this 2 questions

Answers

Answer:

Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.

Answer:

1. true

2. false

Step-by-step explanation:

i think :)

Please help me thx uuu

Answers

Answer:

A =10 ft^2

Step-by-step explanation:

We need to find the area of the piece

A = l*w

A = 2/5 * 25

A = 2 * 25/5

A =2 * 5

A =10 ft^2

Answer:

area = 10

Step-by-step explanation:

2/5 x 25= 10

the L-shaped room shown is to be carpeted with carpet that costs $3.89 per square foot. What will be the cost of the carpet?

Answers

Answer:

depends on the sized of the room-send picture so I can help

Step-by-step explanation:

find the number of possible outcomes for creating an outfit from 4 pairs of pants 3 shirts and 4 pairs of shoes

Answers

Answer:

48

Step-by-step explanation:

This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.

Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the options are as follows:

There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].There are 3 shirts, hence [tex]n_2 = 3[/tex].There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].

Hence, the total number of options given by:

[tex]N = 4 \times 3 \times 4 = 48[/tex].

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What are 2 ratios equivalent to 24:9

Answers

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

Answer:

A. 8:3

24/3 = 8

9/3 = 3

B. 48:18

48/2 = 24

18/2 = 9

Hope this helps out !!!!!!

Which represents continuous data? A) The number of times you flip a coin B) The number of students in a classroom C) The number of chocolate candies in a box D) The price of fish per pound

Answers

Answer:

D) The price of fish per pound

Step-by-step explanation:

A continuous data is one which can take any value . it can have even value between any two consecutive number.

Example :

continuous data can have value between 4 and 5 like 4.5 4.001 and so on.

Discrete data is one which can be counted such as number of flowers, no of cars in parking.

it can take value such as 1,2, 12, 66  etc.

____________________________________________

Let go through the option

A) The number of times you flip a coin

We can count the number of times a coin is flipped .

Like 2 times, 3 times and hence it is discrete data and not a continuous one.

B) The number of students in a classroom

Student in a classroom can also be counted.

in a class there can be 12, 50, 66 etc students not 12.1 , 50.5 etc.

hence it is discrete data and not a continuous one.

C) The number of chocolate candies in a box

Again, chocolate number can be counted .

Number of chocolate can be 2, 4, 5 and not 2.1 , 4.6 etc and

hence it is discrete data and not a continuous one.

D>The price of fish per pound

Price of fist cannot be counted . Further, price of fish can be $2.5 , $ 4.555

hence it is a continuous data.

Based on above discussion

continuous data is represented by The price of fish per pound

n is an integer and -2 Write down the possible values of n,
from smallest to largest.

Answers

Answer:

Step-by-step explanation:

-2 < n+3 ≤ 4

Make two separate equations,

-2 < n+3

Subtract 3 from both sides,

-2-3 < n + 3  -3

-5 < n

So, value of n should be greater than (-5)

n +3 ≤ 4

Subtract 3 from both sides

n ≤ 1

So, n value should be less than or equal to 1

So, n value should be greater than -5 and less than or equal to 1

n= { -4, -3 , -2 , -1 ,0 ,1 }

Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.

Answers

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

Do 5 A,B for 10 points.

Answers

Answer:

X = C - By over A which also is A ≠ 0

Y = C - Ax over B which is also B ≠ 0

Step-by-step explanation:

Solve for x

First subtract "By" from both sides:

Ax + By - By = C - By

Then simplify,

Ax = C - By

Divide both sides by A:

Ax / A = C/A - By/A ; A≠0

Then simplify:

X = C - By over A ; A ≠ 0.

-------------------------------------

Solve for y

First subtract "Ax" from both sides:

Ax - By - Ax = C - Ax

Simplify,

By - C = Ax

Then divide both sides by B:

By/B = C/B - Ax/B ; B ≠ 0

Simplify:

Y = C-Ax / B ; B ≠ 0.

Hope this helps have a good day! :)

( This symbol '/' means a dash like a fraction btw same with the word over.)

Brainliest would be appreciated?

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN

Answers

Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

[tex]= \frac{1}{2}(MN)[/tex]

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!

Answers

Answer:

( 3, 1650 ), Where x = 3, and y = 1650 -

Approximately

Step-by-step explanation:

Take a look at the procedure below;

[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]

We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.

* I apologize for not including a graph *

A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: A line graph with Number of Months on the x axis and Number of Users, in thousands, on the y axis. The x axis has a scale from 0 to 36 with an increment of 4. The y axis has a scale of 0 to 60 with increments of 6. A straight line connecting 0, 0 and approximately 36, 54 is drawn. What can be interpreted from the range of this graph? The range represents the 54-month time period of the study. The range represents the 36-month time period of the study. The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.PLEASE HELP IT URGENT

Answers

Answer:

The correct option is C.

C) The range represents the number of users each month for 36 months

Step-by-step explanation:

We have been given that:

x-axis ⇒ Number of Months

y-axis ⇒ Number of Users

x-axis values = 0 to 36

y-axis values = 0 to 60

We have a function which is represented by a straight line from (0,0) to (36,54).

We have to find the RANGE of the function.

Range of a function is a complete set of values of dependent variable y, for all possible values of independent variable x

As total number of months = 36

Range is the set of all values of y (Number of Users) for each month for a period of 36 months.

Hence, the correct option is C.

Answer:

c

Step-by-step explanation:

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