Which expression is a factor of

9x +12 xy + 4y??


Which Expression Is A Factor Of 9x +12 Xy + 4y??

Answers

Answer 1

Answer:

3x³ + 2y

Step-by-step explanation:

We use sum of squares to factor out the expression:

(3x³ + 2y)²

In that case, we look for the answer choice with 3x³ + 2y as a factor. We should get the 3rd Choice as our answer.

Answer 2

Answer:

C. 3x^3 + 2y

Step-by-step explanation:

9x^6 + 12x^3y + 4y^2

9x^6 = (3x^3)^2

4y^2 = (2y)^2

So far it looks like the trinomial can be the square of a binomial. We need to check the middle term.

2 * 3x^3 * 2y = 12x^3y

The middle term checks out, so this trinomial is a perfect square trinomial.

9x^6 + 12x^3y + 4y^2 = (3x^3 + 2y)^2

Answer: C. 3x^3 + 2y


Related Questions

Which ordered pairs are solutions to the inequality –2x+y>-4?

Select each correct answer.
(3, -1)

0 (-1, 1)

(0, -5)

(1, - 2)

0 (0,1)

Answers

Answer:

answer is (0,1)

Step-by-step explanation:

check

by substituting x=0 and y=1 in the equation above

- 2(0)+1> -4

1> -4

Thereby (0,1) is the required solution to the inequality

From the equation, find the axis of symmetry of the parabola.
y = 4x+ 32x+ 61
a. x= 3
x=-4
C.
b. X= 4
d. X=-3

Answers

The answer would be A.

Find the number of 4-digit numbers that contain exactly two even and two odd digits.

Answers

Answer:

2,435

Step-by-step explanation:

find two even and two odd

Find the area of a circle with a diameter of 12 inches. Use 3.14 for pi

Answers

Answer:

A =113.04 in ^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 1/2 of the diameter

r = 1/2 (12) = 6

A = pi (6)^2

A = 36 pi

Using 3.14 for pi

A = 36 (3.14)

A =113.04 in ^2

What is the domain of F(x) = x?

Answers

Answer:

All real numbers

Step-by-step explanation:

The equation F(x)=x is an identity function. If you plot this on a graph, you notice that it is a diagonal line that always passes through (0,0), making the domain all real numbers.

1. Which of the following figures is not a polygon?​

Answers

Answer:

the cricle is not a polygon since it does not have any sides and a polygon has to have striaght sides

Step-by-step explanation:

Answer:b

Step-by-step explanation:

A department store stocks pants and shorts in the colors black and blue. The relative frequency of their orders for blue pants is half the relative frequency of their orders for black shorts. Which two-way frequency table could represent the data from the store's orders?

Answers

Answer:

Table 2

Step-by-step explanation:

The question is to identify the table where the relative frequency of orders for blue pants is half the relative frequency of their orders for black shorts.

We are interested in the number of blue pants and black shorts.

If we name them as p and b respectively, then we are looking for a table where s/p=2

Let's verify relevant data in all tables:

Table 1:

p= 82, s= 41  ⇒ s/p= 41/82 2, no, not this one

Table 2:

p= 57, s= 114 ⇒ s/p= 114/57 = 2, yes, it is the one

Table 3:

p= 78, s= 110 ⇒ s/p= 110/78 2, no, not this one

Table 4:

p= 44, s= 150 ⇒ s/p= 150/44 2, no, not this one

So only one of tables- the second one from top represents the required data.

Answer:

The second table

Step-by-step explanation:

I did the test.

Can someone please help with this maths

Answers

Hey there! :)

Answer:

C. (0, 5)

Step-by-step explanation:

Where the equation crosses the y axis is known as the y-intercept.

In the equation y = mx + b, the b  value represents the y-intercept where x = 0. Therefore:

Rearrange the equation pictured:

y = 5 - 3x --> y = -3x + 5

The b value in this equation is 5, so

The y-intercept of this equation is (0, 5).

Answer:

(0,5)

Option C is the correct option.

Here,

y=5-3x

When X=0

y= 5-3*0

= 5-0

=5

x=0

y=5

Hope this helps...

Good luck on your assignment..

PLS give answer ASAP

Answers

Answer: 3.5 pi.

Step-by-step explanation: Since we know the circumference formula of a circle is 2*pi*radius, we just have to substitute 7 in there, and divide by 4. So here ya go, 3.5 pi.

the answer is 3.5 pi
i hope i’m right if i’m wrong i apologize

Need help finding the missing length to the attached triangle.

Answers

Answer:

Estimated answer 80

Step-by-step explanation:

I believe its 84 or some where in 80. Because the estimated value I got by solving this geometrical question is somewhere in 80. HOPE this helps! :D

Ten students take a test. Five students get a 50. Four students get a 70. If the average score is 55, what was the last student’s score?

Answers

Answer:

20%

Step-by-step explanation:

50x5 + 70x4 = 530. 530 divided by 9 equals 58.89. When you add 20 to 530 you get 550. 550 divided by 10 equals 55. The student got a 20%.

Answer:20

Step-by-step explanation:

average= total/number of items/students/whatever you take. So, here its ((5x50)+(4x70)+m)/10=55 and if you solve m you get 20 as the answer!

What is the ratio of 76,000 and 100,000

Answers

Answer:

19 : 25

Step-by-step explanation:

Find the factors of the polynomial 45 x2 - 20 y2​

Answers

Answer:

The factors of the polynomial are 5,  ( 3x - 2y), and  (3x + 2y)

Step-by-step explanation:

The given polynomial is 45x² - 20y²

45x² - 20y² = 5 (9x² - 4y²)

45x² - 20y² = 5 [ (3x)² - (2y)² ]

Using difference of two squares,  (3x)² - (2y)² = ( 3x - 2y)(3x + 2y)

45x² - 20y² = 5 ( 3x - 2y) (3x + 2y)

The factors of the polynomial are 5,  ( 3x - 2y), and  (3x + 2y)

Answer:

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

Step-by-step explanation:

Please indicate exponentiation with " ^ " :  45 x^2 - 20 y^2​.

Identify the GCF and factor it out:  5(9x^2 - 4y^2)

Recognize that (9x^2 - 4y^2) is the difference of two squares, which factors into (3x - 2y)(3x + 2y)

Then   45 x^2 - 20 y^2 = 5(3x - 2)(3x + 2)

A rectangular wall has length 3 less than 4 times the width . I wish to put a silver line along the corners of the wall. The lining costs 25 cents per foot and I spent a total of $18.50 for the lining on the corners of the wall. If painting costs 20 cents per square foot , how much dose it cost to paint the wall? PLEASE ANSWER correctly. I WILL GIVE BRAINLIEST ANSWER TO U IF U DO

Answers

Answer:

Step-by-step explanation:

Let width = w units

Length = 4w - 3

Cost for lining corners of wall = $ 18.50

Perimeter of the wall = 18.50/0.25 =  74 ft

2*(length  +width ) = 74

2*(4w - 3 + w) =74

2*(5w - 3) =74

10w - 6 = 74   {Add 6 to both sides}

10w - 6 + 6 = 74 + 6

10w = 80

Divide both sides by 10

10w/10 = 80/10

w =  8 ft

Length = 4w - 3 = 4*8 - 3 = 32 - 3

Length = 29 ft

Area of the wall = length * width

                           = 29 * 8

                           =  232 square ft

Cost of painting the wall per square feet = 20 cents = 0.20

Cost of painting 232 square feet = 232 * 0.20

                                                             = $ 46.40

Solve: 20/x=2 a. x = 40 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B

Answers

Answer:

B. x=10

Step-by-step explanation:

We are given the equation:

20/x=2

To solve this, we must get x by itself. First, let's cross multiply.

20/x= 2/1

Multiply the denominator of the first fraction by the numerator of the second. Then, multiply the numerator of the first and the denominator of the second.

x*2= 20*1

2x=20

x is being multiplied by 2. The inverse of multiplication is division. So, divide both sides of the equation by 2.

2x/2 = 20/2

x= 20/2

x=10

Therefore, the answer is B. x=10

PLEASE HELP Order these numbers from least to greatest. 2 1/10, 61/10, 3.122, 3.19

Answers

Answer: 2 1/10, 3.122, 3.19, 61/10

Step-by-step explanation:

Let's first turn each number into decimal form: (1/10=.1, 2/10=.2,etc.)

2.1, 6.1, 3.122, 3.19.  Obviously, the smallest number is 2.1, because it has a 2 in the ones place.  Next, we see a tie in the ones place between 3.122 and 3.19.  Then we look at the tenths place and see another tie.  Then, at the hundredths place, we see that 3.19 is greater that 3.122.  Thus, the order of the numbers is 2.1,3.122,3.19,6.1.

Hope it helps <3

Calculate x from: Log (x + 4) + log (3x + 2) = log 100 - 2log 2

Answers

Answer: x = 1

Step-by-step explanation:

Given that

Log (x + 4) + log (3x + 2) = log 100 - 2log 2

Log (x + 4) + log (3x + 2) = log 100 - log2^2

Log (x + 4) + log (3x + 2) = log 100 - log4

According to the laws of logarithms,

LogA + logB = log AB

Also,

Log A - logB = log A/B

Apply the law to left hand side and the right hand side of the equation

Log (x+4)(3x+2) = log(100/4)

Open the bracket in the left hand side

Log(3x^2 + 2x +12x + 8) = log25

Log(3x^2 + 14x + 8) = log25

The two log will cancel out

3x^2 + 14x + 8 = 25

3x^2 + 14x + 8 - 25 = 0

3x^2 + 14x - 17 = 0

Factorise the above equation

3x^2 - 3x + 17x - 17 = 0

3x( x - 1 ) + 17( x - 1 ) = 0

3x + 17 = 0

3x = - 17

X = -17/3

Or

X - 1 = 0

X = 1

Therefore, x = -17 or 1

Substituting 1 back into the equation give the solution to the equation. While -17 does not.

* DIFFICULT QUESTION , PLS ANSWER * Write an equation for the circle whose graph is shown.

Answers

Answer:

D

Step-by-step explanation:

The formula of a circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where the vertex is (h,k).

The vertex is (4,-2) and the radius is 5, so substitute the numbers in and you get the solution.

Answer:

D

Step-by-step explanation:

Randy Johnson was a baseball pitcher for the Arizona Diamondbacks during the 2002 season. He had a record of 24 wins and 5 losses at the end of the regular season. To find his Won‐Loss percentage, divide the number of games won by the total number of decisions (games he either won or lost). What was Randy Johnson’s Won‐Loss percentage for the 2002 regular season?

Answers

Answer:

The won percentage is 24 / 29 ≈ 83% (24 + 5 = 29 games total) and the loss percentage is 5 / 29 ≈ 17%.

I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?

Answers

Answer:

117,600 ways

Step-by-step explanation:

This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,

then there m*n ways to combine.

Example: if there 5 shirts and 3 ties,

then number of ways in which different combination shirt and tie can be worn is

5*3 = 15 ways.

____________________________________

In the problem,\

number of states is 50,

let those states be

A1, A2, A3, A4 ......A50

in each state there are 2 senate

Condition

3-Senator committee in which no two members are from the same state.

then

first member can be chosen from any of the 50 state,

hence first member can be chosen in 50 ways

for simplicity lets take state A1, you can choose any one you wish

second member cannot be from state A1, then number of state left = 49

second member can be chosen from  any of 49 state left

hence second member can be chosen in 49 ways

for simplicity lets take state A2,

Third member cannot be from state A1 and A2, then number of state left = 48

Third member can be chosen from  any of 48 state left

hence Third member can be chosen in 48 ways

for simplicity lets take state A3,

Hence no. of ways of choosing  3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!


Find the measure of the line segment indicated. Assume that lines which appear
tangent are tangent.
Find DA (SEE PICTURE)

Answers

Answer:

DE = 8

Step-by-step explanation:

EF * DF = FG * FJ

6 * (6 + x + 3) = 7 * (7 + 5)

6(x + 9) = 7 * 12

x + 9 = 7 * 2

x + 9 = 14

x = 5

DE = x + 3 = 5 + 3 = 8

De 8 is the correct answe

When graphed, which parabola opens downward?

Answers

y = -3x^2 because of the negative

Answer:

A

Step-by-step explanation:

Edge 2020

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1

Answers

Answer:

y = (x - 2)² + 1

Step-by-step explanation:

Gnerela equation of a parabola in vertex form:

y = a(x - h)² + k

where (h, k) is the vertex

From the description of the graph:

the parabola passes through (0,5)the parabola has a vertex at (2,1)

Replacing into the general equation:

y = a(x - 2)² + 1

5 = a(0 - 2)² + 1

5 - 1 = a*4

4/4 = a

1 = a

Then, the equation is: y = (x - 2)² + 1

Answer:

The correct answer is A, "y = (x - 2)² + 1"

Step-by-step explanation:

I just completed the test and got full credit using this option.

Please help ill reward brainliest

Answers

Answer:

Step-by-step explanation:

the 2 lines meet at the point 2... which means 2 is the solution for the equations....

hence x=2, y=0

(2,0) is the required pair of coordinates

hope it helps!!!

the answer is:
point (2,0).

this is because when you graph x-2y=2 and x+4y=2, they intersect at the point (2,0).

Sketch graph y=-4x+4

Answers

Answer:

I hope this helps you! Have a great rest of your day.

I'm confused can somebody help me ASAP?!?!??!?!

Answers

Answer:

part 2 it should be 20 minutes

Step-by-step explanation:

40 = 8 add another 40= 16 half of 40 is 20 so half of 8 is 4 so add 8+8+4

that equals 20

part 1 even d on't understand

Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3? On a coordinate plane, a line goes through (0, negative 1) and (3, 1) and another line goes through (0, 3) and (1, negative 1). On a coordinate plane, a line goes through (0, 3) and (1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 3) and (3, negative 1). On a coordinate plane, a line goes through (0, 3) and (negative 1, negative 1) and another line goes through (0, negative 1) and (3, 1).

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of equations

4x + y = 3 and

2x - 3y = 3

In the first line, the slope is -4, and the y-intercept at (0,3)

In  the second line, the slope is 2/3, and the y-intercept at (0,-1)

Thus, graph (A) represents the system of equations 4x + y = 3 and 2x - 3y = 3 option (A) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Work out the equation of a line when the gradient is 1/2 and it passes through the point (4,-2)

Answers

Answer:

The equation of the line is

[tex]y = \frac{1}{2} x - 4[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the gradient

c is the y intercept

Gradient = 1/2

Equation of the line using point ( 4 , -2) is

[tex]y + 2 = \frac{1}{2} (x - 4) \\ y + 2 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 - 2 \\ y = \frac{1}{2} x - 4[/tex]

Hope this helps you

PLS HELPPPP MEEEE!!!

Answers

Answer:

No

Step-by-step explanation:

We have to check if 3/5 = 6/25. If we convert 3/5 into a fraction with denominator of 25 so that we can compare the two we get 15/25 and this is clearly not equal to 6/25. Therefore, the answer is no.

No it is not hope this helps

How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these similarities or differences important when looking for intersections between rational functions and other types of functions? Be sure to cite examples as you explain your ideas.

Answers

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

[tex]\frac{a}{b} =c[/tex]

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If [tex]a = x^{2}[/tex] and [tex]b = x[/tex], then:

[tex]c = \frac{x^{2}}{x}[/tex]

[tex]c = x[/tex]

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If [tex]a = 3\cdot x^{3}[/tex] and [tex]b = x[/tex], then:

[tex]c = \frac{3\cdot x^{3}}{x}[/tex]

[tex]c = 3\cdot x^{2}[/tex]

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If [tex]a = 10^{2x}[/tex] and [tex]b = 3\cdot 10^x[/tex], then:

[tex]c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}[/tex]

[tex]c = \frac{1}{3}\cdot 10^{2\cdot x -x}[/tex]

[tex]c = \frac{1}{3}\cdot 10^x[/tex]

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If [tex]a = 5\cdot e^{x}[/tex] and [tex]b = -3\cdot e^{x}[/tex], then:

Example

[tex]c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}[/tex]

[tex]c = -\frac{5}{3}[/tex]

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

[tex]5\cdot a^2\cdot x -9[/tex]

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