Mathematics Middle School

Erik transformed the equation y = 2(x − 2)^2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)^2 + 5
y = 2(x^2 − 4x + 4) + 5
y = 2x^2 − 8x + 8 + 5
y = 2x^2 − 8x + 13
A. No. The error is in the second line: the expanded form of (x − 2)^2 is x^2 − 4.
B. No. The error is in the third line: the product of 2 and x^2 − 4x + 4 is 2x^2 − 4x + 4.
C. No. The error is in the fourth line: the sum of 8 and 5 is 12.
D. Yes. Erik is correct in his transformation from vertex form to standard form.

Answers

Answer 1

It's A or B try using mathpapa it really helps :)

Answer 2

I think the answer is letter B

Related Questions

Find the correct plugged in formula for each figure. *

Answers

Answer:

The answer for the first page is down in the explanation section

Step-by-step explanation:

Here's the answer for the first page

84(28) + 2(294) =

2,352 + 588 = 2940

84(40) + 2(294) =

3360 + 588 = 3948

42(10) + 2(68) =

420 + 136 = 550

42(10) + 2(70) =

420 + 140 = 560

84(40) + 2(588) =

3360 + 1176 = 4536

Which of the following best defines Biodiversity?

a
the variety of different species in an ecosystem or on Earth
b
an individual organism
c
all the abiotic factors in a given area
d
the number of individuals of one species in a particular area
Question 2 (3 points)
Which of the following is NOT one of the 3 levels of biodiversity?

a
Universe diversity
b
Ecosystem diversity
c
Genetic diversity
d
Species diversity
Question 3 (3 points)
Which of the following best defines species diversity?

a
The variation in all the different types of ecosystems (or biomes) found on Earth.
b
The variation in genes that exists within a species.
c
The number of species and abundance of each species that live in a particular location.
Question 4 (3 points)
Which of the following best defines genetic diversity?

a
The variation in genes that exists within a species.
b
The variation in all the different types of ecosystems (or biomes) found on Earth.
c
The number of species and abundance of each species that live in a particular location.
Question 5 (3 points)
Which of the following best defines ecosystem diversity?

a
The number of species and abundance of each species that live in a particular location.
b
The variation in genes that exists within a species.
c
The variation in all the different types of ecosystems (or biomes) found on Earth.
Question 6 (3 points)
What are ecosystem services?

a
services that ecosystems provide where they will remove all the trash in your home.
b
ecosystems that are pretty to look at.
c
a processes where ecosystems become cleaner and cleaner every day.
d
processes or services provided by biodiversity that help make daily life more livable for humans.
Question 7 (12 points)
There are four major categories of ecosystems services that biodiversity provides: Provisioning Services, Regulating Services, Cultural Services, and Supporting Services.

Match each of the 4 types of ecosystem services to its correct definition. Next to each number 1-4 you will type the letter (a, b, c, or d) of the answer choice that matches.

Column A
1.
Provisioning Services

:
Provisioning Services

2.
Regulating Services

:
Regulating Services

3.
Cultural Services

:
Cultural Services

4.
Supporting Services

:
Supporting Services

Column B
Column B
a.
Non-material benefits that help the culture and advancement of people and help shape our culture, such as providing a place to practice creativity through music, art or recreation.

b.
The very basic services that exist naturally allowing ecosystems to thrive such as the water cycle, photosynthesis, soil creation, and nutrient recycling.

c.
Processes provided by nature that benefit the Earth and people such as pollination, decomposition of dead organisms, prevention of soil erosion, or water purification.

d.
Any type of benefit to people that can be taken from nature, such as food, water, timber, or medicine.

Answers

Answer:

Step-by-step explanation:

It’s A

Hawvwjahwjabiawbaibsaibwoabwoabeoabsjs

PLEASE if you can can you draw and edit the picture and put the numbers in the boxes please. also put the labels

Answers

I'm just going to answer so I can get points to ask a question

PLS HELP ME- I HAVE TO TAKE A TEST AND IM SO CONFUSED ON 8 QUESTIONS-Directions :Use the given information to find the missing piece. You may use any method to solve the following problems, but please make sure to show all work.
1. Original price-- $80
Percent of discount—20%
Sale price-- ???

2.Original price-- $82
Percent of discount-- ???
Sale price-- $65.60

3. Original price-- ???
Percent of discount—5%
Sale price-- $57

4.A store pays $85 for a game system. They mark it up 125%. If 6% sales tax is applied on top of the new price, what is the final price of the aquarium?

5. Your friend used a $20 coupon to purchase a pair of sneakers that were advertised at $139.99. You buy the same shoes, but you use a 20% off coupon. Who paid a cheaper price?

6. A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?

7.You and 2 friends go out to dinner. The food bill comes to $35.20, and you are charged an additional 6% sales tax. You then want to leave an 18% tip just on the price of the food. If you split the final amount evenly, how much should each person pay?

8.You start the baseball season with 10 strikeouts. By the end of the season, you only have 4 strikeouts. What is the percent of change of the number of strikeouts? (don’t forget increase or decrease!)

PLS HELP MEEE THIS IS A 45 QUESTION TEST- IM SO CONFUSED ON THESE QUESTIONS- IM SO BAD AT THIS KIND OF MATH SUHYDSKLJ
SRRSLY PLEASE HELP MEEE I WILL MARK BRAINLY- IM LOOSING POINTSSSS- PLS HELP ITS DUE BY 2PM AND I NOW HAVE NO MORE POINTSSSS PLS HELPP

Answers

1. Original price-- $80
Percent of discount—20%
Sale price-- ???

Convert 20% to a decimal by dividing by 100, = 0.20 Multiply that by $80
80 x 0.20 = $16 discount.
80 - 16 = $64 sale price

Or you can say after you take 20% away, you have 80% left. Multiply $80 x 0.80 = $64

2.Original price-- $82
Percent of discount-- ???
Sale price-- $65.60

Full price x percent left after discount = sale price
82x = 65.60 divide both sides by 82
x = 0.8
Multiply that times 100 to get the percentage,
x = 80%

3. Original price-- ???
Percent of discount—5%
Sale price-- $57

5% off leaves us 95% to pay = 0.95
0.95x = 57
x = $60

4.A store pays $85 for a game system. They mark it up 125%. If 6% sales tax is applied on top of the new price, what is the final price of the aquarium?
85 x 1.25 = 106.25
106.25 x 0.06 = 6.375 added
106.25 + 6.375 = 112.625 = $112.63

5. Your friend used a $20 coupon to purchase a pair of sneakers that were advertised at $139.99. You buy the same shoes, but you use a 20% off coupon. Who paid a cheaper price?

Remember that 20% off = paying 80%

139.99 - 20 = $119.99
139.99 x 0.8 = $111.99

You pay a cheaper price

6. A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?

$10 cost + $25 profit = $35 new price
So we need percent difference between 10 and 35

10x = 35
x = 3.5, multiply by 100 to get the percentage = 350%

7.You and 2 friends go out to dinner. The food bill comes to $35.20, and you are charged an additional 6% sales tax. You then want to leave an 18% tip just on the price of the food. If you split the final amount evenly, how much should each person pay?

Well, we can ignore the tax part and look at the price of the food + price of the food x 18%
35.20 x 1.18 = 41.536
41.54 divided by 3 people = $13.85 per person

8.You start the baseball season with 10 strikeouts. By the end of the season, you only have 4 strikeouts. What is the percent of change of the number of strikeouts? (don’t forget increase or decrease!)

10x = 4
x = 0.4 = 40% decrease.

LMK if you have questions about these

WOW!!! Thank you so much I had the same question this really helped me a lot thank you guys so much

If 33% of people chose vanilla and 19% chose chocolate as their favorite flavor of ice cream, what percent of people chose a flavor other than vanilla or chocolate

Answers

Answer:

48%

Step-by-step explanation:

the percentage has to be out of hundred and since 52% is taken up (33+19) 48 is the left over percentage

48%

Step-by-step explanation:

Well the most a Percentage can go to is 100%

We know :

33% chose Vanilla

and

19% chose Chocolate

Basically just add them together:

33 + 19 = 52

Now, Subtract the total percentage from the total number of people that voted for Chocolate AND Vanilla:

100 - 52 = 48

Final Answer: 48% chose a flavor other than Vanilla or Chocolate.

Hope this Helps!

Use the distributive property to create an equivalent expression to the equation 9(2j + 5j).

Answers

Answer: i think the answer is -45j - 9k

Step-by-step explanation:

Help mehhhhhhhhhhh plssss

Answers

Answer:

C; median

Step-by-step explanation:

2 is the median of this line plot

It’s is c I think...

3cmx8cmx4cm pls someone help

Answers

Answer:

96 centimeters

Step-by-step explanation:

3 × 8 = 24

24 × 4= 96 cm

The answer is 96 cm. By multiplying 3 by 8 you get 24 then multiply that by 4 which equals 96!

Here’s a clearer picture person who answered

Answers

Answer:

1. k = 4

2. f < 81

3. v = 27

4. b > 32

5. [tex]d\geq 43[/tex]

6. f < 2

7. [tex]h \geq 3[/tex]

8. [tex]g\leq 50[/tex]

9. m = 42

PLZ TAKE THIS SERIOUSLY i dont undertsnad this at all can you guys help at least do 3 out of the five! do not answer if u just want points or dont known either!

Answers

Answer:

Step-by-step explanation:

Question 7

Lateral Surface Area: 200

Total Surface Area: 248

Question 8

Lateral: 720

Total: 840

Question 9

Lateral: 80

Toatl: 104

I can't answer them all for you, but if you need more help just ask.

Answer this question please and thank you

Answers

Answer: 64$

Day one: 2

Day two: 2 x 2 = 4

Day three: 4 x 2 = 8

Day four: 8 x 2 = 16

Day five: 16 x 2 = 32

Day six: 32 x 2 = 64

Answer:

its 64 i believe. its the same thing as 2 to the 6th power. 2+2, 4+4, 8+8, 16+16, 32+32

either that or add 64 plus 64 to get 128 if 64 isnt correct

Step-by-step explanation:

Alfred spends 7 hours doing work outside each week as part of his chores. For every extra hour he spends working outside beyond
the 7 hours, his parents pay him $7. How much money will he be paid if he spends 13 hours working outside?
OA.
$13
ОВ.
$91
OC.
$140
OD
$42

Answers

Answer:

its d 42$ Step-by-step explanation:

i want brainiest

42 hope this helps you I hope you have a wonderful day I never got brainliest

help plzzzz 10 points

Answers

Answer:

86.6

Step-by-step explanation:

hope this helps :)

plssss helppp ASAP
will give brainliest

Answers

Answer:

15/min

Step-by-step explanation:

total no. after 9 min is 144

at 0 min is 9

increase = 135

rate= 135/9

15/min answer hope you like

Topic 12 Online math help

Answers

Answer:

8 students

Step-by-step explanation:

There are 8 dots on and after 5 on the plot, meanign the answer is 8 students

Im tired
Which of these describes a ray?

Question 3 options:

Extends in both directions with no end

A part of a line that connects two endpoints

Has a start point but no endpoint

An exact location that has position but no size

Answers

Answer: I would say B. not to sure tho

Answer: opinion 3 “Has a start point but no endpoint”
Explanation: Process of elimination
Opinion 1; describes a plane
Opinion 2; describes line segment
Opinion 4; describes a point

hi! can someone please help? i added a pic so that u can see what i need help on. hopefully it helps

Answers

Answer:

I'm pretty sure that the answers would go, Wrong, increased, 9 1/2 points, 6 5/8 points, dropped, 12 3/4 points.

Step-by-step explanation:

The reason why it would be wrong is because the amount of points lost was less than the total amount of points gained.

In week one and two the company gained 9 1/2 points and 6 5/8 points. When you add them together, you get 16 1/8 points.

In week three the company lost 12 3/4 points. If you multiply the fraction to change the denominator to 8, the mixed fraction becomes 12 6/8.

16 1/8 - 12 6/8 = 3 3/8

As you can see, there are still points left over.

In the fourth week, they ended up losing all of their points and then some more, but from my understanding it's just asking about the third week.

Hope that this helps!

PLEASE HELP!!!!! AND TAHNK YOU

Answers

Answer:

a= 68% times 250, there are 170 students not in Advanced

Step-by-step explanation:

If 32% are in Adv math, 68% aren't, to solve a percentage, I did

.68 times 250

Glad she/he helped I need some points don’t mind this

Jeordie spreads out a rectangular blanket with an area of 42 square feet. Its width is 6 feet. Which equation could you use to find its length? (Area = bh)

Answers

Answer:

6x=42

Step-by-step explanation:

x=7

Answer:

The equation is 6x = 42

The value (in degrees) of each of the interior angles of a regular n-gon is represented by x. Write an inequality that describes the minimum value of x.

Answers

Answer:

(n - 2)180 = x

Answer:

180

Step-by-step explanation:

350% of 69 is what number

Answers

Answer:

241.5

Step-by-step explanation:

If you didn't know of in math means to multiply.

350% of 69

=350/100 ×69

=241.5

Use the distributive property to rewrite (5x + 3)(2) as a sum of two terms.

please hurry

Answers

Answer:

10x + 6

Step-by-step explanation:

When distributing, you need to multiply the number on its own by both terms of the binomial (the 5x + 3). 5 times 2 is 10, and then you have the x, so it is 10x. Multiply 3 times 2 and get 6. Hope this helps!

As a sum of two terms, is, 10x + 6

What is multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(5x + 3)(2)

now,

When distributing, you need to multiply the number on its own by both terms of the binomial (the 5x + 3).

5 times 2 is 10,

and then you have the x, so it is 10x.

Multiply 3 times 2 and get 6.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ5

Pepino’s pizza charges $8 for medium pizza plus $2 for each topping. How many toppings are on a medium pizza that costs $20?

Answers

Answer:

6 toppings

Step-by-step explanation:

Find how much the toppings cost in total without the medium pizza.

20 - 8 = 12

12 ÷ 2 = 6 toppings

There would be 6 toppings on the medium pizza.

please help!!!!!!!!!!!!

Answers

Answer:

Since 10 to the ninth power is 1000000000 and 1000000000 times 1.4 is 1400000000 and 10 to the second power is 100 and 100 times 8.25 is 825 you would subtract 1400000000 and 825 and get the answer of 1399999175.

*this might be wrong*

1.4*10 2nd power = 1400000000
8.25*10 2nd power = 825
1400000000*825= 1155000000000

pls help on this too

Answers

I’m taking this to and I need help

I’ve attached my work...
Hope this helps!

Which table represents values of x and y such that y = x + 4

Answers

Answer:

Step-by-step explanation:

I think don't blame me if won't :(

It’s b so ye I like pizza pizza Liza

-9/3 + b = -1
b = ?
Will give out brainlyist

Answers

Answer:

b=2

Step-by-step explanation:

Answer:

b=2

Step-by-step explanation:

hurry up ppppppplllzzzz

Answers

1. 3x+5
2. 2x/7
3. x-10
4. -6(x)
5. 13+x
6. 1/3x-25
7. x^2+14
8. 18(x lbs)

1.5+3 x w I’m pretty sure

Do not mind the bottom just look at the top also please help me

Answers

1/3 of p means 1/3p or p/3
For the second part they give you p so
1/3(120)=40(39.9999)

cmon answer this please
solve it and then list it to greatest to least

Answers

Answer:

D. 36 C. 33.5 A. 20.5 B. 19.5

Step-by-step explanation:

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