Factories these 2 plz!!

Factories These 2 Plz!!

Answers

Answer 1

Answer:

a) 3x(x+4y-3y^2)

b) 3x(3x -y + 5y^3)

Step-by-step explanation:

a) 3x^2+12xy-9xy^2

We need to factorize the above equation.

We can take 3x common from the above equation.

3x(x+4y-3y^2)

It cannot be further factorized. So the factors are:

3x(x+4y-3y^2)

b) 9x^2 - 3xy +15xy^3

We need to factorize this equation.

Since 3x is common in all terms, taking 3x common

3x(3x -y + 5y^3)

It cannot be further factorized. So the factors are:

3x(3x -y + 5y^3)


Related Questions

A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?

Answers

Answer:no

Step-by-step explanation: if they are all under the bus canopy they obviously take the bus make the data bias

Figure ABCD is translated down by 6 units:



Which of the following best describes the sides of the transformed figure A'B'C'D'? (1 point)

Answers

The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A

Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.

When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.

In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.

Therefore, the correct answer is option A. A'D' || A'B'.

What is the value of r, the part of the job that Marina can complete in 1 hour?

Answers

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

What verbal expression is the same as the algebraic expression below?

8 - 3x

Question 4 options:

a three times a number minus eight


b three minus eight times a number


c eight times a number minus three


d eight minus three times a number

Answers

Answer:

D

Step-by-step explanation:

3x=3(x)

x is an unknown number which there is no value.when there is number next to it.it will become times

Simplify:
(1/2k)(4k) + 12 =

if i put choices you guys would just guess

Answers

Answer:

2k^2 + 12.

Step-by-step explanation:

(1/2k)(4k) + 12

= 1/2 *4 k^2 + 12

= 2k^2 + 12.

Answer:

Step-by-step explanation:

1/2k (4k) + 12= 0

4k/2k + 12 = 0

2k + 12 = 0

2k = -12

Divide by 2 on both sides

K = -6

how to simplify this algebra​

Answers

x^0 = 1 because anything to the power of 0 is equal to 1

Negative exponents mean that the base is on the wrong side of the fraction line

A is correct

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]

[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

Use the product of powers property to simplify the numeric expression 41/3 • 41/5

Answers

Answer:

the answer is 4 8\15

Which expressions are equivalent to (k^(1/8))^(−1) ?

choose all answers that apply:
a. (k^(-1))^(1/8)

b. (8_/`k)^(-1)

c. k^(-1/8)

d. none of the above


* _/` is a radical with 8 as the index and k as the radicand

Answers

The first option is correct: we have

[tex]\left(k^{\frac{1}{8}}\right)^{-1} = \dfrac{1}{k^{\frac{1}{8}}} = \dfrac{1}{\sqrt[8]{k}},\quad \left(k^{-1}\right)^{\frac{1}{8}} = \left(\dfrac{1}{k}\right)^{\frac{1}{8}} = \dfrac{1}{\sqrt[8]{k}}[/tex]

The second option is also correct, because it simply applies the definition

[tex]k^{\frac{1}{n}} = \sqrt[n]{k}[/tex]

The third option is also correct, because it applies the rule

[tex](a^b)^c = a^{bc}[/tex]

Final answer:

The expressions equivalent to (k^(1/8))^(-1) are (k^(-1))^(1/8) and k^(-1/8), matching options a and c from the given choices. These are determined by correctly applying the exponent multiplication rule.

Explanation:

The student is dealing with an expression involving exponents and radicals, specifically focused on understanding the rules for combining and simplifying these expressions. The expression in question is (k^(1/8))^(-1), which we'll simplify in a step-by-step fashion.

The rule of exponents we need to apply here is (a^m)^n = a^(m*n). When applying this rule to the given expression we get:

(k^(1/8))^(-1) = k^(1/8 * -1)

Simplify the exponent:

k^(1/8 * -1) = k^(-1/8)

So, the equivalent expression is:

k^(-1/8)

Now let's examine the choices given:

Therefore, the correct answers are a and c.

What is the answer for this express

Answers

Answer:

12,2,4,7

I think those are the coefficients

For this case we have to, given a monomial of the form:

[tex]ax ^ ny ^ m[/tex]

We have to:

a: Represents the coefficient of the monomial

x, y: Are the variables

n, m: They are the exponents

Then, according to the given expression we have that the coefficients are:

12,2, 4 and 7

ANswer:

12,2, 4 and 7

A circle with radius of 2cm sits inside a circle with radius of 4cm What is the area of the shaded region

Answers

The area of the shaded region between a larger circle with a radius of 4 cm and a smaller circle with a radius of 2 cm is 12π cm². This is calculated by subtracting the area of the smaller circle from the area of the larger circle.

This concerns the area of the shaded area between two circles, one with a radius of two centimetres and the other with a radius of four centimeters.

In order to determine this, we first compute the area of each circle using the formula πr², where r is the circle's radius.

Let's start by calculating the area of the bigger circle: π(4cm)² = 16π cm² is the area.

In a similar manner, we can calculate the smaller circle's area: π(2cm)² = 4π cm² is the area.

The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle, or area = 16π cm² - 4π cm² = 12π cm².

Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. His data may be seen in the table below.

Week
1
2
3
4
Rolls Made
39
21
55
41
Results of Six
5
3
11
11

Find the experimental probability of Lawrence’s favorite die rolling a six, expressed as a percentage to two decimal places.
a.
16.67%
b.
18.49%
c.
19.23%
d.
26.83%


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C. 19.23%

Step-by-step explanation:

We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.

Total times he got 6: 5 + 3 + 11 + 11 = 30

Total times he rolled the die: 39 + 21 + 55 + 41 = 156

The experimental probability is then 30 / 156 = 19.23%

It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small.  If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.

Alan and Samuel each have a 30-year mortgage. Both mortgages were approved at the same time. Alan pays 5 percent interest, while Samuel only pays 3.5 percent.

If Alan and Samuel are the same age and make the same amount of money, why is Alan paying more in interest?


a) Samuel has a better credit score, so his interest rate is lower.

b) Samuel has more credit cards, so he recieves a better rate.

c) Alan has a better credit score, so his interest rate is higher.

d) Alan has a longer credit history, so he recieves a worse rate.

Answers

The answer would be c

Answer:

a) Samuel has a better credit score, so his interest rate is lower.

Step-by-step explanation:

Alan and Samuel both are same age and make same amount of money.

They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.

There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.

When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.

find the missing term of each pair of equivalent ration 125:80= ____:48

Answers

Answer:

The answer would be 75 because of cross multiplication.

Answer:

75

Step-by-step explanation:

125/80=1.5625

48x1.5625=75

Two similar rectangular prisms have a scale factor of 3.4/5.1 .Find the ratio of their volumes.

Answers

[tex] \frac{3.4}{5.1} = 0.666667[/tex]

Your answer is 0.6 repeating

Which inequality is true for x = 2? A) 6x + 20 < 29 B) 7x − 10 < 11 C) 14x + 10 < 37 D) 15x − 18 < 12

Answers

For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:

Option A:

[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]

It is not fulfilled!

Option B:

[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]

Is fulfilled!

Option C:

[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]

It is not fulfilled!

Option D:

[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]

It is not fulfilled!

So, option B is correct, inequality is met

ANswer:

Option B

Final answer:

Upon substituting x with 2 in each of the given inequalities, option B (7x − 10 < 11) is the only true inequality, making it the correct answer.

Explanation:

To determine which inequality is true for x = 2, let's substitute x with 2 in each option:

A) 6x + 20 < 29 becomes 12 + 20 < 29, which simplifies to 32 < 29. This is false.B) 7x − 10 < 11 becomes 14 − 10 < 11, which simplifies to 4 < 11. This is true.C) 14x + 10 < 37 becomes 28 + 10 < 37, which simplifies to 38 < 37. This is false.D) 15x − 18 < 12 becomes 30 − 18 < 12, which simplifies to 12 < 12. This is false since 12 is not less than 12.

Therefore, option B) 7x − 10 < 11 is the true inequality when x = 2.

Solve the following equation. Then place the correct number in the box provided. x/1.2=15

Answers

Answer:

x = 18.

Step-by-step explanation:

x / 1.2 = 15

To isolate x we multiply both sides of ther equation by 1.2:

x = 15 * 1.2

x =  18 (answer).

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {x} {1.2} = 15[/tex]

To do this, we must multiply both sides of the equation by "1.2":

[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]

Thus, the value of the variable x is 18.

Answer:

[tex]x = 18[/tex]

the total surface area of a cone that has a base radious of 7cm is 417.8cm2 . calculate its slant height

Answers

Answer:

12 cm

Step-by-step explanation:

The total surface area of the cone = area of base + area of curved surface

Subtract the base area from total area, that is

πrs = area - πr²

r is the radius and s the slant height

πrs = 417.8 - (π × 7²) = 263.86

Divide both sides by πr

s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm

budget planning


Ryan is trying to save money to buy a home. He wants to write out a budget for himself so he can put some money into savings each month

Answers

he has to make a bank account and it'll help in the long run

Select the correct answer.
What is the equation of a line that passes through (7.8) and has a slope of -3?
A.
y=-3x + 29
B.
c.
D.
y = 3x + 13
y = (1)/(3)x-29
y = -(1)/(3)x-13
Reset
Next
2019 EdmontumAllah

Answers

Answer:

A. y=-3x + 29

Step-by-step explanation:

The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).

y = -3x +29

___

Check

y = -3·7 +29 = -21 +29 = 8 . . . . as required

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, so

y = - 3x + c ← is the partial equation of the line

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray. which of the following is the equation for f(x)?

Answers

Easily you can try each formula with x=-2

because we know f(-2)=-1

So ,in this way D is correct Only!!

Answer:

D) f(x) = (x + 2)³ -1.

Step-by-step explanation:

Given  : the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray.

To find :  which of the following is the equation for f(x).

Solution : We have given

Graph of f(x) is pink and graph of  g(x) is gray.

We can see graph of f(x) is shifted to 2 unit left and 1 unit down

Because  gray is at (0 ,0 ) and pink is at ( -2,-1)

By the transformation rule  f(x) →→ f(x+h) -k.

It shows that graph is shifted  to left by h unit and shifted down by k unit.

Then the equation of pink graph is :

f(x) = (x + 2)³ -1.

Therefore,D) f(x) = (x + 2)³ -1.

Pamela is 11 years younger than Jerry the sum of their ages is 63 what is Jerry's age?

Answers

Answer:

37

Step-by-step explanation:

Pamela's age can be repesented with the variable, p .

Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.

So,

Pamela: p

Jerry: p + 11

If their total, combined age is 63, the following equation can be used to represent their ages.

p + (p + 11) = 63

Now, solve.

p + (p + 11) = 63

p + p + 11 = 63

2p + 11 = 63

2p = 52

p = 26

Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.

We established before that Jerry's age can be represented with the expression p + 11.

We know what p is, so substitute the value of p into the equation.

p + 11

26 + 11

37

So, Jerry is 37 years old.

If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.

I hope this helps you!!! :)

Divide.3 1/2÷2 1/4 Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9

Step-by-step explanation:

Answer:

1 5/9

Step-by-step explanation:

3 1/2 divided by 2 1/4

convert to fractions; 7/2 divided by 9/4

invert the last fraction; 7/2 * 4/9

cross multiply; 7/1 * 2/9

multiply; 14/9

Convert to a mixed number; 1 5/9

please someone help me

Answers

Answer:

it intercepts the y-axis

Step-by-step explanation:

Look at the picture.

The graph of an exponential function  [tex]f(x)=a^x[/tex], a > 0

is above the x-axis and lie in I and II Quarter.

Find (2 × 10^7)+(3 × 10^4)​

Answers

Answer:

20,030,000

Step-by-step explanation:

You find 10⁷ times 2. then 10⁴ times 3. then add them together

8+4(2x+7)=2(2+6x) and check it please

Answers

8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)

x = 9

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which event have a probability greater than 1/5

Answers

Answer:

choosing 1 red marble

choosing 1 white marble, replacing it, and choosing another white marble

and choosing 1 white marble

Factor the expression 8x^3y-8x^2y-30xy

Answers

Find the Greatest Common Factor (GCF)

GCF = 2xy

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)

Simplify each term in parenthesis

2xy(4x^2 - 4x - 15)

Split the second term in 4x^2 - 4x - 15 into two terms

2xy(4x^2 + 6x - 10x - 15)

Factor out common terms in the first two terms, then in the last two terms;

2xy(2x(2x + 3) -5(2x + 3))

Factor out the common term 2x + 3

= 2xy(2x + 3)(2x - 5)

what is the radius of the circumference of 106.76

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]

Answer:

Radius= 16.991381724491

Step-by-step explanation:

Circumference:106.76

Diameter:33.982763448981

The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equations is?

Answers

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

Final answer:

The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.

Explanation:

To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:

First, we set the equations equal to each other since they both equal y: -x - 2 = 2x - 5.Next, we add x to both sides to get 2x + x on the right side: -2 = 3x - 5.Then, we add 5 to both sides to isolate the term with x: 3 = 3x.Finally, we divide both sides by 3 to solve for x: x = 1.

So, the x-coordinate of the solution to the system of equations is 1.

An isosceles right triangle has sides that are x+2 units long and a hypotenuse that is 8 units long. What is the length of the missing sides of the triangle

Answers

Answer:

In an isosceles right triangle, the hypotenuse is larger than the sides by a factor of the square root of 2.

So, if the hypotenuse is 8 then the sides are 8 / (sq root of 2) = 5.6568542495

Step-by-step explanation:

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