2. Resolve into factors.
a) 8x3 + y3​

Answers

Answer 1

Answer:

(2x + y)(4x² - 2xy + y²)

Step-by-step explanation:

8x³ + y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

8x³ + y³

= (2x)³ + y³

= (2x + y)((2x)² - 2xy + y²) , that is

(2x + y)(4x² - 2xy + y²)


Related Questions

PLZ HELP ASAP!! NO FILESSSSSSSS

Answers

The closer to 1 the r value the closer the dots make a straighter line.

A positive value the distance move up to the right, a negative value the dots move down to the right.

A = r = -0.33

B = r = -0.75

C = r = 0.72

D = r = 0.89

Which equation is represented by the table of values below
X Y
0 3
1 -1
2 -5
3 -9
4 -13

Answers

Answer:

Y= –4X+3

Step-by-step explanation:

Aight, check this out. the X and Ys are gonna form a linear equation.

Y=aX+b

3=a(0)+b===> b=3, so there you got for b

–1=a(1)+3===> a= –4

and the final touch

Y= –4X+3

If three children equally share half loaf of bread among themselves, what fraction will each get?​

Answers

Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread

Can someone please help?

Answers

Answer:

f(x) = (x + 4)^2 - 5

Step-by-step explanation:

Parent function: f(x) = x^2

To show this in a way that may look more familiar, f(x) = 1(x - 0)^2 + 0

Vertex form: f(x) = a(x - h)^2 + k

We know a = 1, because the slope is the same as the parent function.

Vertex: (h,k)

We can see that the vertex of the graph is (-4, -5)

So h = -4 and k = -5

Now all we need to do is plug the variables into our equation.

f(x) = a(x - h)^2 + k

f(x) = 1(x + 4)^2 - 5

f(x) = (x + 4)^2 - 5

7r-15/s when r= 3 and s = 5.

Answers

Answer:

21-3=18

Hope This Helps!!!

Answer:

18

Step-by-step explanation:

7(3)= 21

15/5=3

21-3=18

How many cookies will Tanya have if she bakes 12 more batches y = 70 + 18 (x)

Answers

y=70+18(x)

y=70+18(12)

y=70+216

y=286

Step-by-step explanation:

since Tanya bakes 12 more cookies,

x=12

y= 70 + 18(12)

y=70 + 216

y= 286

therefore, she bakes 286 cookies with twelve more batches

Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money?

Answers

Answer:

8 days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

[tex]120 - 8x = 60 + 7x[/tex]

x=4

which shows the numbers 1/10, 0.9, 3/10 in order from least to greatest​

Answers

Answer:

1/10, 0.9, 3/10

Step-by-step explanation:

#carryonlearning

if you were pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. you want to fill it exactly half full, how many cubic inches of juice would you pour

Answers

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

Carmen simplifies the expression (4 y + 8 x + 6) + 25 + (4 x + 6 y + 7). The coefficient of the variable y in her simplified answer is

Answers

Answer: 10

Step-by-step explanation:

(4y + 8x + 6) + 23 + (4x + 6y + 7)

10y + 12x +23 + 7 + 6

10y + 12x + 38

y = 10

Answer:

10

Step-by-step explanation:

just want to feel specialpecial

Which is the value of this expression {jk^-2/j-1k-3}3, when j=-2 and k=-1?

Answers

Answer:

-9

Step-by-step explanation:

{-2*-1^-2/-2-1*-1-3}3

= -9

Answered by GAUTHMATH

Find the lowest common multiple of 180 and 140.

Answers

Hello,

In prime decomposition:

180=2²*3²*5

140=2²*5*7

lcm(180,140)=2²*3²*5*7=1260

Proof: 1260/180=7 and 1260/140=9

أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد . ​

Answers

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

The Red Line Below is Parallel To which of the following?
A. The x-axis
B. The origin
C. the y-axis
D. None of those

Answers

Answer:

C.  y axis

Step-by-step explanation:

y axis is the answer

The red line is parallel to the middle line which is the x -axis
Answer =A

a box has length breadth height of 1m 50 cm and 30cm respectively find its volume

Answers

Answer:

[tex]1 \times 50 \times 30 = 150 {cm}^{3} [/tex]

please mark as brainliest

Answer:

150,000 cm^3

Step-by-step explanation:

100*50*30 = 150,000

Find x. Round to the nearest hundredth

Answers

Triangles= 180
=180-90+50+y
Y=40
X= 90+50+12
=152
( I am not entirely sure if x I’d correct or done correctly)

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )

The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12

Answers

Answer:

Option (2)

Step-by-step explanation:

From the table attached.

First column is representing the x-values (input values) and second column is representing the value of the function (output values).

For x = -6,

f(x) = 8

For x = 7,

f(x) = 3

For x = 4,

f(x) = -5

For x = 3,

f(x) = -2

For x = -5,

f(x) = 12

Therefore, f(x) = -2 is one of the output values.

Option (2) will be the correct option.

The value that is an output of the function among the options is -2.

What is the output of a function?

A function relates an input to an output.

A function relates each element of a set with exactly one element of another set.

Therefore, the output are the dependent variable. They are also called range.

Generally, they are regarded as range, output or dependent variables.

Therefore, the output of the table is f(x) values which includes the following:

83-5-2-12

Hence, the output of the function in the option is -2.

learn more on functions here: https://brainly.com/question/26608835

what is the length of RS? no links.

Answers

Answer:

25 units

Step-by-step explanation:

TR = TQ

2x + 10 = 18

2x = 8

x = 4

RS = QS

RS = 9x - 11

RS = 9(4) - 11

RS = 25

I have a lot of algebra problems. Someone help me even with this one please!

Answers

Answer:

60

Step-by-step explanation:

Subsitute the number if large vehicles

5x + 10(50) = 800

5x + 500 = 800

5x =300

X =60

Answer:

60

Step-by-step explanation:

Substitute y = 50 into the equation and solve for x

5x + 10(50) = 800 , that is

5x + 500 = 800 ( subtract 500 from both sides )

5x = 300 ( divide both sides by 5 )

x = 60

That is 60 small vehicles were washed in total

emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )

Answers

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

$635x52=33,020
she would earn 33,020 in a year

what is the range of this function 6 goes to 5 8 goes to -3 10goes to -8 and 12 goes to 7
a.(-3,7,8,12)
b.(-8,-3,5,6,7,8,10,12)
c.(-8,-3,5,7)
d.(6,8,10,12)

Answers

Answer:

C, {-8, -3, 5, 7}

Step-by-step explanation:

the range = the y-coordinates

i hope this helps you

What is the total value of digit 7 in the number 32.8794​

Answers

the total value is seven hundredths. lmk if the is isn’t the answer you were looking for.

Help me solve this please

Answers

Answer:

a

Step-by-step explanation:

thats not how u find the lengths

I need help with this question. Can you please help me.

Answers

Answer:

ummmm maybe u just forgot to add the picture

the question is on the image​

Answers

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

Is the product of two prime numbers a prime number or a composite
number?

Answers

Step-by-step explanation:

No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.

Answer:

a composite one

Step-by-step explanation:

Why?

It is easy-peasy.

First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.

For example, 3 is a prime. 7 is a prime. Multiply them and get 21.

I hope it helped:)

parallel to y - 2x = 4 and passes through (0,5)

Answers

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

Helpp!!!!
Give the relation and identify the x and y axis intercepts.

Answers

Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

[tex]y = x^2 - 8 x + 12[/tex]

To get the x intersept put y = 0

[tex]x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6[/tex]

So, the intersepts are

(2, 0) and (6, 0)

Pls help me with this set problem

Answers

(1) False. [tex]\{0\}\in\mathscr{U}[/tex] is saying "the set containing only 0 (that is, {0}) is an element of [tex]\mathscr U[/tex]", but this is not the case. [tex]\mathscr U[/tex] is the set containing only 0 and 1.

(2) True. [tex]\{0\}\subset\mathscr{U}[/tex] means "the set {0} is a subset of [tex]\mathscr{U}[/tex]". 0 itself is an element of [tex]\mathscr U[/tex], so {0} is indeed a subset of [tex]\mathscr U[/tex].

(3) True. 0 is clearly an element of [tex]\mathscr U[/tex].

(4) False. This statement says "0 is a subset of [tex]\mathscr U[/tex]" but 0 itself is not a set, it's a number.

Find the length of AC. Round to the nearest hundredth if necessary.

Answers

i belive the answer is c

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