Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y

Answers

Answer 1

Answer:

x² + 11x-16y

Step-by-step explanation:

The given equation is :

[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]

It can be simplified as follows :

[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]

So, the correct option is (d) i.e. x² + 11x-16y.


Related Questions

. A shipyard makes a container ship that can withstand the total amount of weight W, which is normally distributed with mean of 600 tons and standard deviation of 60 tons. Let us assume that the weight of a single container that will be loaded to the container ship is also normally distributed with mean of 4 tons and standard deviation of 0.4 tons. What is the maximum number of containers that the ship can load and still have at least a 90% chance to not exceed its weight limit

Answers

Answer:

the maximum number of containers that the ship can load is 170

Step-by-step explanation:

Given the data in the question;

W ~ N( 600, 60 )

S ~ N( 4n, 0.4√n )

so

p( W > S ) = 0.90

⇒ P( W - S > 0) = 0.9 ------ let this be equation 1

now, since W and S are independent

Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n

and

SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)

hence;

W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )

now, from equation one, P( W - S > 0) = 0.9

[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

from z- table

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]  

[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2

now, we square both sides of equation 2

[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]  

[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]

we cross multiply

16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )

16n² + 360000 - 4800n = 5916.6864 + 0.26296384n

16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0

16n² + 354083.3136 - 4800.26296384n = 0    

16n² - 4800.26296384n + 354083.3136 = 0  

solving the quadratic equation, we know that;

x = -b±√( b² - 4ac ) / 2a

so we substitute

x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]

x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32

x = [ 4800.26296384 ±√(381192.4516) ] / 32

x = [ 4800.26296384 ± 617.4078 ] / 32

Hence;

x = [ 4800.26296384 - 617.4078 ] / 32 or  [ 4800.26296384 + 617.4078 ] / 32

x = 131   or  170

Therefore, the maximum number of containers that the ship can load is 170

Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number. ​

Answers

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x

Answers

Answer:

C. y = 1/2x

Step-by-step explanation:

We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.

Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:

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

1 does equal 1, so the result is a true statement. Option C is the answer.  

An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.​

Answers

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

Octagon is regular polygon meaning all sides are epual it is 8sided polygon p=72 = sides =8 each side =72÷8

=9feet

Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm

Answers

the answer is 769.3.

Please help I’ll give points + brainalist

Answers

A because it has the biggest number when put from least to greatest that repeats

HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE

Answers

Answer:

Susie is correct  because the function is y = x²

Suppose Lauren is working two jobs to help pay for college. One job pays more per hour than the other. Since her boss at the higher-paying job wouldn't give her as many hours as she wanted, she picked up the second job to generate more income. With her course load, 20 hours a week of work is all she can manage, but she wants to make as much money as possible in those 20 hours. Her goal is to get twice as many hours a week at the higher-paying job than at the lower-paying one. How many hours should she work at each job

Answers

Answer:

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

Step-by-step explanation:

Given

[tex]x = Low\ pay\ job[/tex]

[tex]y = high\ pay\ job[/tex]

From the question, we have that:

She can only work for 20 hours.

This implies that:

[tex]x + y= 20[/tex]

To work 2ce as many hours at the high paying job than the low paying job; implies that:

[tex]y = 2x[/tex]

So, we have:

[tex]x + y= 20[/tex]

[tex]y = 2x[/tex]

Required

Number of hours at each job

Substitute [tex]y = 2x[/tex] in [tex]x + y= 20[/tex]

[tex]x + 2x = 20[/tex]

[tex]3x =20[/tex]

Solve for x

[tex]x = \frac{20}{3}[/tex]

[tex]x = 6.67[/tex]

Substitute [tex]x = \frac{20}{3}[/tex] in [tex]y = 2x[/tex]

[tex]y = 2 * \frac{20}{3}[/tex]

[tex]y = \frac{40}{3}[/tex]

[tex]y = 13.33[/tex]

She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job

-2x-3y=-7
y+1=x
solve for y and x

Answers

Answer:

x = 2 and y = 1

Step-by-step explanation:

First, solve for y by substituting the second equation as x into the first equation

-2x - 3y = -7

-2(y + 1) - 3y = -7

Simplify and solve for y

-2y - 2 - 3y = -7

-5y - 2 = -7

-5y = -5

y = 1

Solve for x by plugging in 1 into the second equation

y + 1 = x

1 + 1 = x

2 = x

So, the answer is x = 2 and y = 1

pls help :p i’m stuck

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

B) Find the value of a^2 + b^2 when a = 3 and b= -2

Answers

Answer:

13

Step-by-step explanation:

a = 3

b = -2

a² + b² = 3² + (-2)²

= 9 + 4

= 13

Answer:

a) 11

b) 13

Step-by-step explanation:

a) 1 + 2(5) = 11

b) 3² + (-2)² = 9 + 4 = 13

A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is

Answers

Answer:

8/17 or 47% or .47

Step-by-step explanation:

8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun

The required probability is 8/17 that the spinner lands on blue or green.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.

The total number of outcomes. = 6 + 6 + 3 + 2

So n(S) = 17

Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8

Consider the experiment of once spinning the spinner.

The probability of the spinner landing on blue or green will be

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 8/17

Therefore, the required probability is 8/17 that the spinner lands on blue or green.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Rewrite as an exponential equation.
In7 = y

Answers

Y=7 or 7y tell me if this right

2 questions for math​

Answers

Answer:

x = -24

a = 11

Step-by-step explanation:

So for the first one:

[tex]-\frac{1}{4} x+6=\frac{2}{3} x+28[/tex]

Multiply both sides of the equation by 12

[tex]-3x+72=8x+336[/tex]

Subtract 8x from both sides

[tex]-11x+72=336[/tex]

Subtract 72 from both sides

[tex]-11x=264[/tex]

Divide both sides by -11

[tex]x=-24[/tex]

And the second one...

[tex]2(a-2)=3(a-5)[/tex]

Distribute the 2 to the (a - 2) and the 3 to (a - 5)

[tex]2a-4=3a-15[/tex]

then add 15 to both sides

[tex]2a+11=3a[/tex]

Subtract 2a from both sides

11 = a

Someone help me please

Answers

Answer:

A

Step-by-step explanation:

The answer is A ,that's how the equation is.

i agree with the one on the top

Solve equation

r/3-4=11

r = 45

r = 35

r = 33

r = 28

Answers

Answer:

r=-11

Step-by-step explanation:

Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )

Answers

Answer: ill take care of him

Step-by-step explanation:

A triangle has two sides that measure 5 cm and 7 cm. Select all of the following that could be the measure of the third side.

a
1 cm
b
4 cm
c
7 cm
d
11 cm
e
13 cm
f
15 cm

Answers

Answer:

4 cm, 7 cm, 11 cm

Step-by-step explanation:

The sum of two shorter sides of a triangle is always greater than the larger side.

1 cm + 5 cm < 7 cm ( can't be the third side )

5 cm + 4 cm > 7 cm ( can be )

5 cm + 7 cm > 7 cm ( can be )

5 cm + 7 cm > 11 cm ( can be )

5 cm + 7 cm < 13 cm ( can't be )

5 cm + 7 cm < 15 cm ( can't be )

help i'll give brainlyest

Answers

what do you need help with

what do you need help with T~T

wrong its c or 15.00$

Answers

Answer:

oopssss

Step-by-step explanation:

Please help!!!! I’ll give you best answer!!!
Solve the equation by completing the square
10 points
4) v2 + 16v + 35 =-4
A) {-16 + V217, -16 - V217)
B) -3, -13
C) 7+ V71,7 – V71)
D) -8,-10

Answers

Answer:

Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y

Answers

This is the answer I got
10-2y

he sum of two numbers is 43 and the difference is 5. What are the numbers ?

Answers

Answer:

24,19

Step-by-step explanation:

24+19=43

24-19=5

B 1. Inscribe a circle in triangle ABC​

Answers

Answer:

The circle should appear inside the triangle.

3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?

Answers

Answer:

1_2/3

=1/3 or 0.33

Step-by-step explanation:

Probability is not more than 1..

Find all the real zeros of the function

Answers

Answer:

B

Step-by-step explanation:

y = -9x - 1

You need a value that will make y = 0

-9x - 1 = 0             Add 1 to both sides

-9x = 1                   Divide by - 9

x = 1/-9

The answer is B

Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=

Answers

Answer:

sin=The sin of an acute angle is defined in the context of a right triangle.

csc= The length of the hypotenuse divided by the length of the side opposite the angle.

cos= The length of the adjacent side divided by the length of the hypotenuse.

sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.

tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.

Step-by-step explanation:

Use the table to write a linear function that relates y to x .

y=

Answers

Answer:

y= -1/4x

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

1 and 3, 2 and 4, 1 and 2, 3 and 4

5 and 7, 6 and 8, 5 and 6, 7 and 8

Step-by-step explanation:

Straight angles are two angles that make up a straight line.
1 & 3, 5 & 7, 2 & 4, 6 & 8
and
1 & 2, 3 & 4, 5 & 6, 7 & 8

Please lmk if you have questions.
Other Questions
The second period at the bottom of the table is called Find the value of x. the organic cafe has 15 pastries for sale, including 6 peach scones. what is the probability that a randomly selected pastry will be a peach scone? Fill in each blank with one of the three phrases: is less than, is equal to, or is greater than.1,742 x 1.000 _______ 1,742 (How Presidents Govern)Is it appropriate for a president to govern through executive orders instead of persuading a majority of Congress to enact a law? How would you alter the system if you were designing the rules for the government? Please, and thank you :) Which of the following is a primary source for scientific information? O A. Doctoral theses OB. A handbook of scientific facts O C. Reviews of scientific studies D. Public opinion about a scientific issue For this structural characteristic, decide if it is a characteristic of DNA , a characteristic of RNA , a characteristic of both DNA and RNA , or a characteristic of neither DNA nor RNA .It contains thymine as a base. Which statement best explains why Florida and New York have the same amount of electoral votes?(If you need the answer choices look below)A. They are both swing states.B. The popular vote in each state was very similar in 2012.C. Their population sizes are similar.D. They have been states for approximately the same amount of time.{NO FILES} A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?A.The probability of a temperature from 30 degrees to 120 degreesB.The probability of a temperature from 90 degrees to 180 degreesC.The probability of a temperature from 30 degrees to 90 degreesD.The probability of a temperature from 90 degrees to 120 degrees what is the asnwer ot this problem If a pizza that is 12 inches in diameter provides three full meals, how many meals are provided by a pizza that is 20 inches in diameter? Raquels favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.What is the mean number of points the player scored? Help me pleaseeeee quicklyyy Which of the following was a reason Bryan was not successful in the 1908 presidential election? I could use a little help, please? if the square is directly proportional to w and z =4 when w =8 Which practice is associated with the Islamic faith?A:Worshipping in a SynagogueB:Praying five times a day facing MeccaC:Celebrating HanukkahD:Worshipping many Gods This party, still stunned by its defeat in the 1852 presidential election, fell apart completely over the Kansas-Nebraska acta) whig partyb) republican partyc) democratic partyd) know-nothing partyHAVE A GREAT DAY!!!! :) SOMEONE PLEASEE HELP!!?!? Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p -value for the hypothesis test. The p -value should be rounded to 4 decimal places.