Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.


Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.

For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.

Answers

Answer 1

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.


Related Questions

'Twice a number n decreased by five'.

Answers

Answer:

2n-5

Step by step Explanation:

You must put 2 in front of "n" to represent the multiplication of the 2 numbers. Then put a subtraction sign and five the show the number is decreased by 5.

Hope this helps!

You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in
your bloodstream decreases by about 29% each hour

Answers

Answer:

oka so now what

Step-by-step explanation:

Find the value of X. Round to the nearest 10th

Answers

Answer:

Step-by-step explanation:

You have to use the tangent.

Tan(y) = opposite / adjacent

tan(10) = x / 500

tan(10) = 0.1763

0.1763 = x / 500

500 * 0.1763 = x

x = 88.1635

x = 88.2

Help and you get candy :3

Georgia is making necklaces. Each necklace has 3 blue beads and 5 red beads. How many red beads will she need to make 8 necklaces?

A. 25 red beads
B. 30 red beads
C. 35 red beads
D. 40 red beads

Answers

Answer:

40

Step-by-step explanation:

5 x 8 = 40

40 reds beads because 5×8 = 40

Your teacher gave you 5 of a bag of candy, but she only
gave your friend of a bag.
How much more of the bag did your teacher give you than
your friend?

Answers

Think of it as it being 5 - 1 which equals 4. So you would have four more than her
you have 4 more bags than your friend because 5-1 is 4 :3 hope this helped

what is the answer of this question? ​

Answers

Answer:

Its B.

Step-by-step explanation:

Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

121 + 144 [tex]\neq[/tex] 225

265 [tex]\neq[/tex] 225

In which equation is the product greater than 3?

A. 3/4x3

B. 3/2x3

C. 1/12x3

D. 9/10x3

Answers

Answer:

B

Step-by-step explanation:

all you need to do for this is multiply the numerator by the 3.

3/4 times 3 = 9/4-  thats not more than 3

3/2 times 3 = 9/2 - thats more than 3  

1/12 times 3 = 3/12-  thats  not more than 3

9/10 times 3 = 27/10 thats  not more than 3

could you give me brainliest I need to complete this level

please help me with this

a . 18

b . 16

c . 12

d . 9

Answers

It would have the be B. 16

please helpp please
im in deep need to learn this
please

Answers

Answer:

C

Step-by-step explanation:

i think because the bottom of the triangles are the denominators and the x is the numerator

!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!

Answers

Answer:

80 minutes

35.2 km

Step-by-step explanation:

You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.

The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal

That means that

.44t = 35t + 7.2                     Subtract 0.35t  from both sides

0.44t - .35t = 7.2      

0.09 t  = 7.2                          Divide

t = 7.2/0.09

t = 80 minutes

How far apart are they from the starting point?

d = 0.44t

d = 0.44 * 80

d = 35.2 km from the starting point.

Plz help me with this I’m stuck

Answers

Answer:

I belive the answer to this is D or A

Step-by-step explanation:

But I strongly think its A

Answer:

The answer is A

Rewrite 30x + 75 using the distributive property with the greatest
common factor located in front of the parentheses.
PLEASE ASAP

Answers

Step-by-step explanation:

15(2x + 5)

because 15 is the GCF of 30 and 75

The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?

Answers

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION

This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.

(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)

Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.

Answers

i think it’s is A make me brainliest

In a cheese factory, 4.5-kg blocks of cheese are cut manually. For a large number of blocks, the standard deviation of the cutting process is measured and found to be 0.10 kg. The measurement was done with a scale with an accuracy of 1.5% of the full scale of 12 kg. Calculate the total uncertainty of the weight of the blocks of cheese at a 95 % confidence level.

Answers

Answer:

0.2690 kg

Step-by-step explanation:

Given that:

For cutting a 4.5 kg block of cheese; the standard deviation:

[tex]S_x = 0.1 \ kg[/tex]

For a large no of blocks,  at 95% confidence level;

Using the t table; where the degree of freedom is infinity or > 30

t-distribution (t) = 2

[tex]P_x = tS_x[/tex]

[tex]P_x = 2 \times 0.1[/tex]

[tex]P_x = 0.2 \ kg[/tex]

The system uncertainty as a result of the accuracy [tex]B_x[/tex] is:

[tex]B_x = 1.5\% \ of \ reading[/tex]

[tex]B_x = (\dfrac{1.5}{100})(12 kg)[/tex]

[tex]B_x = 0.18 \ kg[/tex]

The total uncertainty  for a single experiment with a 95% confidence interval will be:

[tex]w_s = ( B_x^2 + P_x^2)^{\frac{1}{2}[/tex]

[tex]w_s = (0.18^2 + 0.2^2)^{\frac{1}{2}[/tex]

[tex]\mathbf{w_s = 0.2690 \ kg}[/tex]

PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can

Answers

Answer:

the first answer is 104 square units

I forgot how to answer the surface area for the second prism sorry.

Step-by-step explanation:

The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can still participate? Write and solve an inequality.

Answers


Solving by an inequality is : x ≤ 130

What is the area of the shaded region?

Answers

Answer:

66ft^2

Step-by-step explanation:

It can be located at the center of a polygon or at the sides of the polygon

What is the perimeter of this shape

Answers

9514 1404 393

Answer:

  72.6 cm

Step-by-step explanation:

It is the perimeter of the overall rectangle plus twice the depth of the notch.*

  P = 2(L+W) +2d

  P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)

  P = 72.6 cm

The perimeter of the shape is 72.6 cm.

_____

* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.


A biker rode for 2.5 hr. at an average rate of 12 mi./hr. Find the distance traveled.

Answers

Answer:

30 miles

Step-by-step explanation:

12x2.5=30

Please help at least do 3 questions please Don’t guess (can be more than one)

Answers

24 56 78 12 13 9 45 17 67 65 4 8

NEED HELP MY Son needs it 4⅔ x13

Answers

Answer:

182/3

60.67

hope it's helpful ❤❤❤❤

THANK YOU.

#

Answer:

Exact Form:

182/3

Decimal Form:

60. 6

Mixed Number Form:

60 2/3

118.4 divided by 6.4 STEP BY STEP EXPLANATION PLS.

Answers

Answer: 18.5

Step-by-step explanation: Steps are down.

1. Move the decimal point all the way to the right.

2. Put a decimal point in the quotient exactly as the one in the dividend.

3. Divide the tens column by the divisor.

4. Multiply the divisor by the quotient.

5. Subtract the product by the divisor.

6. Bring down what's left, then repeat.

If there are 9 hippos, how many pumpkins do you need?

Answers

Answer:

9 go to the store rn.

Negative thirteen decreased by 3 times a number

Answers

Answer:

-13-x(3)

Step-by-step explanation:

Hope this helps :)

The expression in the mathematical form will be 3x + 13.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Negative thirteen decreased by 3 times a number. Then the expression in the mathematical form is given as,

Let x be the number. Then the expression will be

⇒ 3x - (-13)

⇒ 3x + 13

The expression in the mathematical form will be 3x + 13.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

The ferris wheel with a diameter of 150 feet at the fair is out of control and is moving at 60 degrees per second. How many miles per hour is someone moving as it spins out of control?

*There are 5,280 feet in a mile.

Answers

Answer:

Step-by-step explanation:

Help. I don’t understand this

Answers

i don’t know all of them but the last one is correct.

2(3x + 2) = 2x - 1+x.

Answers

Answer:

x = -5/3

Step-by-step explanation:

Hope this helps!

Best of luck!♥

6x+4=3x-1
-4
6x=3x-5
-3x both sides
combine like terms
3x=-5
/3
x=-5/3

What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x= 3 and x = 4?

Answers

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Gentry Industries has the following information about maintenance costs in the past six months.
Month Machine _Hours Amount
January 200 $2,800
February 350 3,000
March 450 4,000
April 500 5,000
May 600 5,200
June 580 5,800
How much would Gentry pay if maintenance machine hours are 550?

Answers

Answer:

Total cost= $5,425

Step-by-step explanation:

Giving the following information:

Month Machine _Hours Amount

January 200 $2,800

February 350 3,000

March 450 4,000

April 500 5,000

May 600 5,200

June 580 5,800

First, we need to calculate the fixed and variable costs. To do it, we will use the high-low method:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (5,800 - 2,800) / (600 - 200)

Variable cost per unit= $7.5 per hour

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 5,800 - (7.5*600)

Fixed costs= $1,300

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 2,800 - (7.5*200)

Fixed costs= $1,300

Now, we can determine the total cost for 550 hours:

Total cost= 1,300 + 7.5*550

Total cost= $5,425

Other Questions
What is the largest state in Mexico. Malala writing prompt The author views Malala as a freedom fighter, what are some of Malalas actions to support the authors point of view?RACE QUESTION HELP PLEASE THIS IS HARD!!!Solve and check 6x - 5x + 7x = 34 Excerpt 1The question in her mind, and one not easily solved, now was 'How can I get away?' So, as was her usual custom, she told God she wasafraid to go in the night, and in the day every body would see her.'Excerpt 2When her master saw her, he said, 'Well, Bell, so you've run away from me.' No, I did not run away, I walked away by day-light, and allbecause you had promised me a year of my time.' His reply was, 'You must go back with me.' Her decisive answer was, 'No, I won't go backwith you.OA. Excerpt 1 describes a person-versus-self conflict, while Excerpt 2 describes a person-versus-nature conflict.OB. Excerpt 1 describes a person-versus-self conflict, while Excerpt 2 descubes a person-versus person conflict.Oc. Excerpt 1 describes a person-versus-society conflict, while Excerpt 2 describes a person-versus-nature conflict.OD. Excerpt 1 describes a person-versus-person conflict, while Excerpt 2 describes a person-versus-society conflict.O E. Excerpt 1 describes a person-versus-person conflict, while Excerpt 2 describes a person-versus-self conflict. how many 5/8 foot peices of wood can you cut from a board that is 4 5/8 feet long When you use the work of another writer, you must provide documentation inall of the following cases EXCEPT when Will give brainliest to whoevers right. Worth 25 points!!!Which of these sentences could be added to the end of the third paragraph (sentences 18-21) to support the ideas in that paragraph? A. Even on the federal level, it is rare for civil servants to receive time off let alone three entire months for a summer break. B. This kind of program will also allow teachers to better prepare for curriculum and not have to rush through important concepts and ideas. C. The summer break not only helps students to do better in schools, it ultimately helps the economy as travel increases during the summer. D. In the real world, most people only receive a limited number of days for vacation as well as a set number of sick days and personal time-off days.This is the paragraph: (1) As students and teachers, we should both feel lucky to enjoy not only a summer break, but in some cases, a winter break as well. (2) In the working world, summer breaks are a welcomed oasis to a normal working schedule, but they never happen. (3) School is supposed to prepare students for what the "real world" will be like. (4) Why then do most schools still implement the antiquated policy of summer vacation? (5) As students and teachers, don't we also make up the "real world"? (6) The real world works like this: people don't get summers off like they do in school, so summers in school are disingenuous because it does not reflect the "real world" like year-round schools. (7) For many working citizens, a summer break is a novel idea, but it is impractical. (8) Consider what would happen to a city government that decided to take the summer off. (9) Garbage would pile up. (10) Police stations would close. (11) Fire stations would be empty. (12) Now, imagine doing without one of the many services the city provides for almost three months. (13) The entire city would riot. (14) Yet, aren't public servants also a part of the "real world"? (15) Why don't they get summers off as well? (16) Preparing students for the real world while giving them summers off does not prepare them for the real world. (17) It gives them a false sense of what the real world will be. (18) Year-round schooling, however, is a more accurate representation of what the true real world is. (19) In a year-round school program, students would go to school Monday through Friday for four months at a time. (20) Students would also get a week's vacation at each quarter interval. (21) In the end, this would better prepare students for what the real world is truly like. 24 divided by 2 times 5 then square foot of it In the 1500s what new style of Music Theater was created in Italy?pls hurry- qwqwqwqwqwq (10 10 ) - (10 10) Consider your knowledge about the cell membrane and check all of the true statements below. Good Morning! Please Help Me With This New Question!In your own words, describe in detail the different types of image licensing. How does image metadata play a role in these licenses and why is that important. 2 ways that you can write 2%? What's opportunity cost? Provide a hypothetical situation/scenario showing anunderstanding of this concept.|| Please help it emergency I will mark you as brainlist please help Fossils of canines were found on opposite sides of a mountain range. The fossils are from species that are anatomically similar, but the climates were extremely different on each side of the range. Which type of evidence for evolution do these fossils exemplify?A. vestigial structuresB. analogous structuresC. coevolutionD. biogeography i will give brainiest! i have to turn this in tonight please hurry. Play now? Play later?You can become a millionaire! That's what the junk mail said. But then there was the fine print:If you send in your entry before midnight tonight, then here are your chances: 0.1% that you win $1,000,000 75% that you win nothing Otherwise, you must PAY $1,000But wait, there's more! If you don't win the million AND you don't have to pay on your first attempt,then you can choose to play one more time. If you choose to play again, then here are your chances: 2% that you win $100,000 20% that you win $500 Otherwise, you must PAY $2,000What is your expected outcome for attempting this venture? Solve this problem usinga decision tree and clearly show all calculations and the expected monetary value at each node.Use maximization of expected value as your decision criterion.Answer these questions:1) Should you play at all? (5%) If you play, what is your expected (net) monetary value? (15%)2) If you play and don't win at all on the first try (but don't lose money), should you try again? (5%) Why? (10%)3) Clearly show the decision tree (40%) and expected net monetary value at each node (25%) The ratio of the three angles of a triangle is 2:3:5. What are the three angles of the triangle? The Water Cycle: LessonMckenze JelksWhich example best shows how the water cycle carries on energy transfer?Choose the correct answer.O a flooding river depositing silt on a floodplainO a warm ocean current warming the air above itO ocean water depositing sand particles on a shoreO water seeping through the soil and dissolving salts