Factor Completely. 2a(x+y)+b(x+y)

Answers

Answer 1

Let's simplify step-by-step.

2a(x+y)+b(x+y)

Distribute:

=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)

=2ax+2ay+bx+by

Answer:=2ax+2ay+bx+by
Factor Completely. 2a(x+y)+b(x+y)
Answer 2

The simplification of the expression is 2ax+2ay+bx+by.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.

Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,

E = 2a(x+y)+b(x+y)

Multiply the values in the whole bracket and simplify,

E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)

E = 2ax+2ay+bx+by

The simplified expression is given as 2ax+2ay+bx+by.

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Related Questions

A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?

Answers

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Jeremiah buys 6 tacos and 8 enchiladas for 60 dollars. Kennedy buys 3 tacos and 2 enchiladas for 18 dollars.

Answers

Answer:

What's the question lol

charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap

Answers

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number​

Answers

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.

Answers

Answer:

-1/4

Step-by-step explanation:

Rise over run

Rises -1 runs 4

slope = -1/4

If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.

Answers

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

2, 1, 2, 4, 5, 4

What is the mean

Answers

Number of observations = 6

[tex] \sf \: mean = \frac{Sum \: \: of \: \: Observation} {Total \: \: number \: \: of \: \: Observations} \\ \sf = \frac{2 + 1 + 2 + 4 + 5 + 4}{6} \\ = \sf \frac{18}{6} = 3[/tex]

Answer:

3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Angle wxz is congruent to angle zxy. Find the value of X

Answers

Answer:

  x = 18

Step-by-step explanation:

Congruent angles have equal measures.

  74° = (4x +2)°

  72 = 4x . . . . . . divide by °, subtract 2

  18 = x . . . . . . .  divide by 4

Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours

Answers

650 miles!!!!!!!!!!!!!!

Answer:

260 miles in 4 hours equals (260 / 4) = 65 miles per hour

In 10 hours she can drive 650 miles

Step-by-step explanation:

I need help on my homework.

Answers

Answer:

[tex] \frac{3}{4} > \frac{ - 2 + 2x}{4} \\ \\ (4 \times) \frac{3}{4} > \frac{ - 2 + 2x}{4} ( \times 4) \\ \\ 3 > - 2 + 2x \\ \\ 3 + 2 > - 2 + 2 + 2x \\ \\ 5 > 2x \\ \\ 5 \div 2 > 2x \div 2 \\ \\ \frac{5}{2} > x \\ \\ x < \frac{5}{2} [/tex]

I hope I helped you^_^

Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number? ​

Answers

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

If you want to learn more about probability, you can read:

https://brainly.com/question/23044118

2m>30
what is the answer to this

Answers

Answer:

m>15

Step-by-step explanation:

Divide both sides by 2

Hello there! :-)

This is a one-step inequality, which means we can solve it in one step.

The goal is to find m.

To isolate m, we divide both sides by 2:

m>15

Remember to divide both sides by 2.

Therefore, m>15 (this means m is greater than 15)

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others :-)

Good luck with your studies. :)

Solve for x, y, and z

Answers

Step-by-step explanation:

[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]

Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per mile. For the first delivery, you will get paid $350 plus $6 per mile that you drive. Write 2 equations and solve this system.​

Answers

The question is an illustration of a system of linear equations.

The system of linear equations is: [tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]The solution to the equation is (25,500)

Let the number of miles be x.

Getting trained and licensed

One time cost: $450Gas and Insurance: $2 per mile

So, the equation is:

[tex]y=450 + 2x[/tex]

Delivery

First delivery: $350Rate: $6 per mile

So, the equation is:

[tex]y = 350 + 6x[/tex]

Hence, the system of linear equations is:

[tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]

To solve the equation, we equate both, as follows:

[tex]450 + 2x = 350 + 6x[/tex]

Collect like terms

[tex]6x - 2x = 450 - 350[/tex]

[tex]4x = 100[/tex]

Divide both sides by 4

[tex]x = 25[/tex]

Substitute 25 for x in [tex]y=450 + 2x[/tex]

[tex]y = 450 + 2 \times 25[/tex]

[tex]y = 450 + 50[/tex]

[tex]y = 500[/tex]

Hence, the solution to the equation is (25,500)

Read more about linear equations at:

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A spherical solid, centered at the origin, has radius 4 and mass density(x,y,z)=6-(x^2+y^2+z^2). Set up the triple integral and find its mass.
I've attached a photo of the question.

Answers

There's something very off about this question.

In spherical coordinates,

x² + y² + z² = ρ²

so that

f(x, y, z) = 6 - (x² + y² + z²)

transforms to

g(ρ, θ, φ) = 6 - ρ²

When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that

dV = dx dy dz = ρ² sin(φ) dρ dθ dφ

Since we integrate over a sphere with radius 4, the domain of integration is the set

E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}

so that the integral is

[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

Computing the integral is simple enough.

[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]

[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]

[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]

but the mass can't be negative...

Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by

[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]

for some positive number k is

[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]

so in order for the mass to be positive, we must have

5k - 3r² ≥ 0   ⇒   k ≥ 3r²/5

In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.

Through what angle does the minute hand of a clock turn in 45 minutes?

Answers

Answer:

2700

Step-by-step explanation:

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

so

45 * 6 =

2700

HELP ASAP
The temperature was -1°F at noon and dropped to -14°F by the evening.

What was the change in temperature?

13°F
-13°F
-15°F
15°F

Answers

ΔT = T(final)-T(initial)

ΔT= -14 - (-1)
= -14 + 1
= -13F

Answer:

The change in temperature is -13°F.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Therefore, -13°F is the change.

Which is an advantage of using a credit card?

A. You can make purchases when you don’t have cash

B. You don’t indulge in impulse buying

C. You don’t have to pay interest

Answers

Your answer would be A.
Not B. because it may increase impulse buying.
And not C. because credit cards are built on money you don’t have currently.

A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?

Answers

Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

In a recent survey, it was found that 133 out of 631 randomly selected Knott's Berry Farm attendees consider Silver Bullet their favorite ride at Knott's. It was also found that 23 out of 121 randomly selected Knott's Berry Farm employees consider Silver Bullet their favorite ride. Test the hypothesis that the percentage of attendees who consider Silver Bullet their favorite ride is different than the percentage of Knott's Berry Farm employees who consider Silver Bullet their favorite ride. Use the a=.05 level of significance.



The P-value is __________, rounded to the nearest ten-thousandth (4 decimal places).

Answers

Using the z-distribution, it is found that the p-value is of 0.5975.

At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The sample sizes and proportions are given by:

[tex]n_1 = 631, p_1 = \frac{133}{631} = 0.2108[/tex]

[tex]n_2 = 121, p_2 = \frac{23}{121} = 0.1901[/tex]

The standard errors are given by:

[tex]s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162[/tex]

[tex]s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357[/tex]

For the distribution of differences, the estimate and the standard error are:

[tex]\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0207 - 0}{0.0392}[/tex]

[tex]z = 0.528[/tex]

Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.

A similar problem is given at https://brainly.com/question/25869410

Learning Task 1: Write the fraction of each shaded figure. Find the sum. Write your answer in your notebook.

Please is anyone can help me​ please

Answers

Learning task 1

1. 3. 3. 1.

4. 2

2. 5. 4. 6.

9. 13

5. 3. 6. 7.

5. 9

Step by step explanation:

hopefully that's help

Use the drawing tools to form the correct answer on the graph.
What is the inverse of the function shown?
Click on a tool to begin drawing.
Delote
Undo
Reset
Drawing Tools
Select
iz
Point
10
Line Segment
8
6
4
2
x
6
-10
-8
-6
-4
-2
2
6
8
10
2

Answers

Answer:

i need to know this one fast i cant get past this mastery test

Step-by-step explanation:

The inverse of a function is the opposite of the function

From the graph, we have the following ordered pairs

(5,0), (8,3) and (2,-3)

When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs

(0,5), (3,8) and (-3,2)

This means that the inverse of the function passes through the above points

See attachment for the graph of the inverse function

Read more about inverse function at:

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A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...

Answers

Answer:13

Step-by-step explanation:

37-3.5=33.5

33.5/2.5=13.4

since it ask for the whole number, it will be 13

factorise
18p+6
please im so bad​

Answers

ANSWER: 18p+6= 6(3p+1)

what is 2*6 i need help

Answers

Its 12 for answer

Step-by-step explanation:

2×6=12

Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?

square feet

Answers

Answer: 3000 square feet

Step-by-step explanation: 21x10=210 .     300x10=3000

Hemp bell bell help math

Answers

Answer:

This is indeed a function!

Step-by-step explanation:

help me with this math problem please​

Answers

Answer:

BC ≅ EF

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

ABC ≅ DEF

The corresponding sides are BC and EF

Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n

Answers

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

[tex]f(5) = 3[/tex]

[tex]f(6) = 4[/tex]

[tex]f(8) = 6[/tex]

Express 6 as 8 - 2

[tex]f(8) = 8 - 2[/tex]

Express 8 as n

[tex]f(n) = n - 2[/tex]

So, the expression that represents the number of triangles is (c) n - 2

Read more about sequence and patterns at:

https://brainly.com/question/24050043

I want a way to solve this question​

Answers

Answer:

Step-by-step explanation:

[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]

∠L=60°

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