Which of the following expression is equivalent to 6x2−13x−28
I. 6x2+8x−21x−28
II. 2x(3x+4)+7x(3x−4)
III. 2x(3x+4)−7(3x+4)
IV. (3x+4)(2x−7)

IV only
IV only

I, III, and IV
I, III, and IV

I, II, and IV
I, II, and IV

I and IV only
I and IV only

Answers

Answer 1

Answer:

I, III and IV

Step-by-step explanation:

Required

Determine equivalent expressions to [tex]6x^2 - 13x - 28[/tex]

To do this, we simplify each of the given options.

[tex]I.\ 6x2+8x-21x-28[/tex]

Simplify like terms

[tex]6x2+8x-21x-28[/tex]

[tex]= 6x2-13x-28[/tex]

This is equivalent to the given expression

[tex]II.\ 2x(3x + 4) + 7x(3x - 4)[/tex]

Open Bracket

[tex]2x(3x + 4) + 7x(3x - 4)[/tex]

[tex]2x*3x + 2x*4 + 7x*3x - 7x*4[/tex]

[tex]6x^2 + 8x - 21x^2 - 28x[/tex]

Collect Like Terms

[tex]6x^2 - 21x^2 + 8x - 28x[/tex]

[tex]-15x^2 - 20x[/tex]

This is not equivalent to the given expression

[tex]III.\ 2x(3x+4)-7(3x+4)[/tex]

Open Bracket

[tex]2x(3x+4)-7(3x+4)[/tex]

[tex]2x*3x + 2x*4 - 7*3x - 7*4[/tex]

[tex]6x^2 + 8x - 21x - 28[/tex]

Simplify Like Terms

[tex]6x^2 -13x - 28[/tex]

This is equivalent to the given expression

[tex]IV.\ (3x + 4)(2x-7)[/tex]

Open Brackets

[tex]3x * 2x - 3x * 7 + 4*2x-4*7[/tex]

[tex]6x^2 - 21x+ 8x-21[/tex]

Simplify like terms

[tex]6x^2 -13x-21[/tex]

This is equivalent to the given expression

Hence: I, III and IV are equivalent to the given expression


Related Questions

What is happening to this graph when the rvalues are
between - 1 and 1?

Answers

Answer:

Where's The graph?

Step-by-step explanation:

Answer:

There is no graph post the graph

Step-by-step explanation:

(M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros é:

Answers

Step-by-step explanation:

M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageirosM1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros

What is 50% of 36?
o9
o16
o18
o34

Answers

50% of 36 is 18. Therefore, your answer is the third option.

Answer:

18

Step-by-step explanation:

Find the angle whose complement is 79 degree​

Answers

Answer:

Complementary angels= 90⁰

90-79= 11

11⁰

Answer: 11 degrees

Step-by-step explanation:

complementary angles equal 90 degrees

90 - 79 = 11

A sample of 50 students is taken from a local college and it is found that the
average test score of a recent math exam was 78 with a standard deviation of 6.
What percent of the entire school population can be expected to have score
above 84?
Your answer

Answers

i got 13 I am pretty sure that Is the answer

Graph the line by plotting any two ordered pairs that satisfy the equation.
-6y = 9

Answers

Answer:

GRAPH IS IN THE PICTURE BELOW

Step-by-step explanation:

Use the similar triangles to setup a proportion and solve for x

Answers

Answer:

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

Step-by-step explanation:

ΔUSA ≅ ΔPAL

[tex]\frac{AU}{AP}[/tex] = [tex]\frac{US}{PL}[/tex]

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

x = [tex]\frac{220}{12}[/tex] = [tex]\frac{55}{3}[/tex] = [tex]18\frac{1}{3}[/tex]

Assume that process that makes the parts can be altered to adjust the overall mean of the reflectiveness score. Also assume that if an individual part has a score less than 85, then the part is given a passing quality score. The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:______

a. greater than 80
b. less than 80
c. equal to 80

Answers

Answer:

c. equal to 80

Step-by-step explanation:

Given that:

The population mean = 80

The standard deviation is = 6

The sample mean = 85

The objective is to find the probability that is less than 85

[tex]P(X < 85) = P( Z < \dfrac{x-\mu}{\sigma})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{85-80}{6})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{5}{6})[/tex]

[tex]P(X < 85) = P( Z < 0.833)[/tex]

From the standard normal table

P(X <85) = 0.7977

P(X< 85) = 79.77%

P(X< 85) = 80%

Therefore, The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:  equal to 80    .

Write a story about temperatures that this expression could represent: ½ + (-¾)

Answers

Answer:

boom

Step-by-step explanation:

Answer:

so when your in the avatar state it is below zero, so you have to wear warm cloths

Step-by-step explanation:

Graph each set of integers on a number line.
7. (4, -3, 1,5)
-6-5-4-3-2-1 0 1 2 3 4 5 6
8. (-15, -12, -9, -2)
+++++
-14 -12 -10 8-6
H-
-2
4
9. (8,3, -7,-5)
-8 6 4
-2.
0
2.
4
6
8
10. 1-14, - 7, 10, -1)
++
-15
-12
9
3
0
3
6
9
11. 1-6, -1,0,31
-6-5-4-3-2-1 0 1 2 3 4 5 6

Answers

Answer:

-14 -12 -10 8-6

Step-by-step explanation:

Mathematics:If she uses 486.7 cm of paper to cover the lateral surface area of the cylinder,what is the diameter of the cynlinder?

Answers

Answer:

iiamdsjefej 444 i like milk

Step-by-step explanation:

wffdfe

WILL GIVE 25 POINTS PLEASE HELP

Answers

Answer:

A: rising B: falling C: falling D: falling

Step-by-step explanation:

i think its correct i might be wrong

Suppose that 84% of the cases of car burglar alarms that go off are false. Let p be the proportion of false alarms in a random sample of 110 cases of car burglar alarms that go off. Calculate the mean and standard deviation of p and describe the shape of its sampling distribution.

Round your answer to four decimals places if necessary

up= ______
op= ______

The sampling distribution of p is normal or skewed to the right?

Answers

Answer:

0.84 ; 0.0349545 ; symmetric

Step-by-step explanation:

Given that:

p = proportion of false alarm

Sample size (n) = 110

The mean of p

Since 84% of car buglar alarms turns out as false, then, the mean value of p = 0.84

To obtain the standard deviation ; we use the relation ;

√(p(1 - p) / n)

Standard deviation :

√0.84(1 - 0.84) / 110

√0.84(0.16) / 110

√0.1344 / 110

√0.0012218

= 0.0349545

np = 110 * 0.84 = 92.4 (distribution is symmetric or normal)

If 1 day (24 hours) is equal to 1000 years, what does one minute equal?

Answers

Answer:

Step-by-step explanation:

1440 minutes in a day. meaning that  1.44 years is about a minute

HELP
Lin ran 2 ¾ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour.
Who ran faster, Noah or Lin?




How far would Lin run in 1 hour?




How far did Noah run in 1 hour?




How long would it take Lin to run 1 mile at that rate?




How long would it take Noah to run 1 mile at that rate?

Answers

Lin ran faster because if you convert 2/5=24mins 4/3=80mins and lin would run 2.5 miles in an hour and Noah would run 0.75 miles

What is the value of 1/2 plus 1/3

Answers

First to answer

Answer:

The value is 5/6 or 0.83

Let me know if its correct! Have a great day!

.833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

Steve is buying apples for the fifth grade. Each bag holds 11 apples. If there are 91 students total, how
many bags of apples will Steve need to buy if he wants to give one apple to each student?
Steve will need to buy
bags.

Answers

9x11=99 apples, he needs to buy 9 bags bc 8 isn’t enough
91/11 = 8.27

you would need to round up because you need to put all apples in a bag

so the answer is 9 bags. hope this helps!

Which expression is equivalent to −78−(−34)

Answers

Answer:

-44

Step-by-step explanation:

HELP PLEASE!!! 17 POINTS!!

If triangle PQR is plotted, it will have the following coordinates,P(-4,0),Q(4,2)and R(-2,4). If point R is translated 4 units right and 7, what are the coordinates of R'?

Answers

Answer:

(2, -3)

Step-by-step explanation:

Right now, R is at (-2, 4). If it is pushed 4 units to the right, it becomes -2+4 = 2 on the x-axis. If it is pushed 7 units down, it becomes 4-7 = -3. Thus, the coordinates are (2, -3)

A triangle has vertices A(-3,6), B(-3, 4), and C(3,4).

If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?

Answer:

(-1, 5)

Step-by-step explanation:

Right now, A is at (-3, 6). If it is pushed 2 units to the right, it becomes -3+2 = -1 on the x-axis. If it is pushed 1 unit down, it becomes 6-1 = 5. Thus, the coordinates are (-1, 5)

inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational​

Answers

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1  is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

Solve for x in this equation: 3/4 +|5-x| = 13/4
Step 1: Isolate the absolute value by subtracting
from both sides of the equation.

Answers

Answer: this is correct

Step-by-step explanation:

It says it’s correct

I am trying to be a​

Answers

Yes, X will equal 44


Jessica has 3 cards in a bag,each marked with a letter. The letters are X, Y, and Z. Without looking, she reaches into the
bag, pulls out a
card, and then puts the card back in the bag. If Jessica does this 3 times, what is the probability she pulls out the X card first, then the Y
card, and then the Z card? In a fraction

Answers

Answer:

Step-by-step explanation: It’s 3/7, 1/27, 3/20 idk which one tho :(

Can you guess my number?
I am thinking of a number less than 91/2.Write down at least 3 choices of
what my number could possibly be.

Answers

Answer:

47 77 85

EXPLANATION

The Steckels decide to spend less on food and entertainment in order to put more money into savings. Which graph could represent the Steckels’ new budget?

Answers

Answer:

A histogram maybe

Step-by-step explanation:

One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?

Answers

Answer:

17 hours

Explanation:

Answer please!! urgent!!

Answers

Answer:

a

Step-by-step explanation:

Lots of points! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

5

The answer is 5......

Estimate 8.2x6.7/0.46

Answers

119 because I’m built different

Answer:

119 i hope it helps (:(

Step-by-step explanation:

0.09 divided by 0.81

Answers

Answer:

9

Step-by-step explanation:

Basically just remove the decimals and do 81/9 and you will get nine

You can remove the decimals because you are dividing which means that either way, you will get the same answer

the answer is 9 hope this helps

Other Questions
How did Constantine become emperor? Can somebody please help meeeeee what is the answer A 3-pack of light bulbs costs $3.45. A 4-pack of the same light bulbs costs $4.20.Which pack has better value?Enter the correct answer in the box. how can you tell that the the portrait of the merchant georg gisze painting is from the Northern Renaissance Solve the following equation show your work x^2-4=0 0.448 g of an unknown diprotic acid is dissolved in about 60 mL of water in a beaker. The solution is transferred to a 100.00 mL volumetric flask, which is then filled up to the mark. The solution is mixed by inverting multiple times.25.00 mL of this solution is then transferred to an Erlenmeyer flask for the titration. What mass of the diprotic acid is in the 25.00 mL that is transferred? What is a Block Grant used for? Law of sines and cosines word problem Is it a sentence or fragment? Flynn on third base5000 people in the standsWas not Casey's styleSadness in mudville Help plz:))) Ill mark u brainliest ASAP 10 points(:(:!!.... Which effect did the mongol empire occupation have on Russia The author compares the movement of the plates to chunks of ice moving on the top of the frozen river. This comparison is used to: Find the product 5,917 29 the seventh man as a boy pleasee find evidence from a text gone with the wind Gerald Ohara had gone to Twelve oaks to----A)buy dilcey ,the wife of his valet,porkB)fetch scarlett who had gone there to visit her fiance,AshelyC)congragulate ashley on his engagement to Melanie D)sell tara to John wilkes who owned Twelve Oaks At a little-known vacation spot, taxi fares are a bargain. A 18-mile taxi ride takes 21 minutes and costs $12.60. You want to find the cost of a 39- mile taxi ride. What unit price do you need? Complete with the correct form of the possessive adjective.20. Yo tengo una mochila grande. __mochila es roja.21. Sra. Walden tiene una clase muy grande,__clase tiene treinta estudiantes,22. Mi ta tiene dos carros de Toyota,__carros son grandes23. Nosotros tenemos ojos azules,__ojos tambin son muy bonitos,24. Yo tengo una mascota.__mascota muy cariosa, *mascota-pet 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, , help i will mark brainliest Which excerpt from the passage shows a cause-and-effect relationship?A. It kneaded it when someone pulled its strings. As time went on, machines startedmaking bread, but puppets continued to amuse and entertain.ppets, theyto believers old. Inpuppetvent on,.Magicians hide how they do their tricks. Puppeteers never reveal how they move thepuppetsc.Puppeteers never reveal how they move the puppets. Perhaps it is the mystery thatkeeps them so popularDFor example, a dark color would probably be a bad character. Yellow might belongto a happy or good character.