Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.

(3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)

= 3y2 – 12y2

= –9y2

Is the student’s work correct?

Answers

Answer 1

Answer: No the students work is not correct. Because you are using distribution. Which means that 3 has to multiply the y2 and 2 not just the y2! And after you distribute it you need to simplify!

Step-by-step explanation:

Answer 2

Answer:

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6

Step-by-step explanation:

Given the expression

3-6y² and y²+2

We have to find the product of 3-6y² and y²+2

Clara's Solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2)

                          = 3y² – 12y²

                          = -9y²

NO!

The student's work is INCORRECT!

Clara did not imply the correct distribution of multiplying the terms in the first step.

Here is the correct solution:

(3 – 6y²)(y² + 2) = 3(y²) + (–6y²)(2) + (3)(2) + (–6y²)(y²)

                          = 3y² – 12y² + 6 - 6y⁴

                           = - 6y⁴ - 9y² + 6

Therefore,

(3 – 6y²)(y² + 2) = - 6y⁴ - 9y² + 6


Related Questions

Evaluate the following.
7 + 2 x 5 + 20:5
please help ASAP!!

Answers

Answer:

10 x + 27 : 5

Step-by-step explanation:

Just Simplify  

Answer:

37:5

Step-by-step explanation:

Give a example of a number that is less than-2. Please help me

Answers

Answer: -3

Step-by-step explanation: It's farther to the left than -2 and 0 so it's smaller and negative

49/7 as a whole number

Answers

49/7 = 7 as a whole number

Answer:

Here i will simplify 49/7 to its simplest form and convert it to a mixed number if necessary.

In the fraction 49/7, 49 is the numerator and 7 is the denominator.

do this by first finding the greatest common factor of 49 and 7, which is 7.

Then, divide both 49 and 7 by the greatest common factor to get the following simplified fraction:

7/1

Therefore, this equation is true:

49/7 = 7/1

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

7/1 = 7

Step-by-step explanation:

The ratio of Rogers age to his sons is 7:3. If the sum of their ages are 60 how old is Rogers son

Answers

Answer:24

Step-by-step explanation:

Sum of their ages is 60 yr. As such

7x + 3x = 60

10x = 60

x = 60 / 10

x = 6

The rationale is 6, therefore

Father's age is 7x = 7 × 6= 42 years

Son's age is 3x = 3 × 6 = 18 years

Difference in their ages

42 - 18 = 24 years

Which fraction can be replaced with 1/2 when estimating with fractions

Answers

Answer: 7/16

Step-by-step explanation:

i got it right

Segment addition question

Answers

Answer:

3 AB+BC=AC

Step-by-step explanation:

Because they add up to get AC

Answer:

None

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST Jessica's friend tried to find the side length of a square garden, but made a mistake: 12 24*+ 13 12 4 6x+ 13 12 Side length = 6x+ Can you identify and correct her error​

Answers

Answer:

She forgot to factor from both terms.

Step-by-step explanation:

Jessica should've divided 12/13 by 4 to find the correct side length that is 6x + 3/13

Answer:

Sample responce Jessica forgot to factor from both terms. She should have divided 12/13 by 4 to find that the correct side length, which is 6x + 3/13.

Step-by-step explanation:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3. Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the mean and median number of letters per word? What is the outlier? The mean number of letters per word = The median number of letters per word = The outlier =

Answers

5

4.5

There is no outlier.

Step-by-step explanation: GOT IT RIGHT  :)

okie please give brainiest if you got it correct :)

Answer:

For the other person to get branliest! They got it right

Step-by-step explanation:

What is the final elevation if a butterfly starts at 20 m and changes negative 16 m

Answers

Answer:

4 meters

Step-by-step explanation:

Given that :

Initial elevation of butterfly = 20 meter

Change in elevation from initial height = negative 16 m = - 16 meter

Final elevation can be obtained by taking the sum of initial elevation and the change in elevation

(20 m + (- 16 m))

(20 m - 16 m)

= 4 meters

Carl sees 25 melons at the store. 15 are small and the rest are large. How many melons are large?

Answers

Answer: 10 large melons

Step-by-step explanation:

Carl saw 25 melons at a store.

Of these 25, 15 were small and the rest were large.

The number of large melons will have to be the whole total of 25 melons less the number of small melons which is 15:

= 25 total melons - 15 small melons

= 10 large melons

a rectangles side lengths are 8 cm and 4 cm. Approximate the length of the diagonal of the rectangle to the nearest tenth.

Answers

Answer:

8.4cm

Step-by-step explanation:

first you have to square both sides

8²+4²= Hypotenuse (the diagonal)

you'll get

56 + 16

next you add it, and it'll equal 72

lastly you'll find the square root of that number

which is going to give you 8.4

A school had 1,200 students last year and only 1,080 students this year. What was the percentage decrease in the number of students?

Answers

Answer:

The population decreased by 10%

Step-by-step explanation:

Uhh I’m kinda rly confused pls help

Answers

take away the indicted

Answer:  C.  1/r^10

Step-by-step explanation:

when you are dividing two exponents, you have to subtract them.

Subtract numerator by denominator: 2 - 12 = -10

when you have negative exponent you have to put a one at the numerator

Answer: 1/r^10

True or false. A linear function always has an exponent of one or zero.​

Answers

Answer:

False

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

Answer:

True.

Step-by-step explanation:

A linear function has the exponent of 0 or 1. A function with a degree of 2 would be quadratic and an exponent of 3 would be cubic.

A farmer owns a field with an area of 0.037 km2. The farmer buys another field with an area of 9600 m2. What is the total area of the fields he now owns in km2?

Answers

Answer:

0.0946km²

Step-by-step explanation

Area of the farmland owned = 0.037km²

Area of farm land bought = 9600m²

Convert m² to km²

1m² = 1e-6 km²

9600m² = 0.000001 * 9600

9600m² = 0.0576km²

Total area on km² = 0.037km²+0.0576km²

Total area on km²  = 0.0946km²

Choose the correctly formatted citations in the Works Cited page of MLA format. Responses A. Bradbury, Ray. "Dark They Were, and Golden-Eyed." myPerspectives English Language Arts, Pearson Education, Inc., 2017, pp. 127-140. B. Bradbury, Ray. Dark They Were, and Golden-Eyed. MyPerspectives English Language Arts, Pearson Education, Inc., 2017, pp. 127-140. C. Bradbury. "Dark They Were, and Golden-Eyed." myPerspectives English Language Arts, Pearson Education, Inc., 2017. D. Ray Bradbury . "Dark They Were, and Golden-Eyed." myPerspectives English Language Arts, Pearson Education, Inc., 2017, pp. 127-140.

Answers

Answer:

A. Bradbury, Ray. "Dark They Were, and Golden-Eyed." my Perspectives English Language Arts, Pearson Education, Inc., 2017, pp. 127-140.

Explanation:

In any academic writing, citation of the works used is an important factor. And for that, there are several formats or styles accepted as the correct form, among which is the MLA (Modern Language Association).

According to the MLA format, the works cited list must be in a certain format. As with all citations, the author's last name followed by the remaining names will come first. Then the title of the book followed by the book’s name. Then comes the publisher's name, publishing date, and the page number from which the citation is taken.

Thus, the correct answer is option A.

Use the figure below to answer the following questions.

What is mZ4?

Answers

Answer:

100º

Step-by-step explanation:

Find angle3 which is 80º

All lines are 180º

which means angle3+ angle4 is 180º

180º - 80º

= 100º

Answer: B. 100°

Step-by-step explanation:

Since triangles contain angles that add up to 180°, angles 3 is 80°. Since Straight Angles are 180°, it means that angle 4 is 180-80, which equals 100°.

350 students signed up what percent signed up for the airforce (64)

Answers

Answer: 18.29%

Step-by-step explanation:

There are 350 students. Out of these students, 70 signed up for the Army, 64 for the Airforce, 56 for the Navy and 160 for the Marines for a total of 350.

The percentage of students who signed up for the Airforce out of the total can be calculated by:

= number of students (airforce) / total number of students * 100

= 64/350 * 100

= 18.29%

Find the solution of the system of equations 3x+3y=6
9x-5y=-24

Answers

Answer:

Then the answer to the system is the point (-1, 3)

which corresponds to x = -1 and y = 3

Step-by-step explanation:

Start by dividing the first equation by 3 on both sides, and get:

x + y = 2

now multiply it by 5 in order to be able to eliminate the term in y in the combining of both equations:

5 x + 5 y = 10

+

9 x - 5 y = - 24

___________

14 x + 0 = -14

solve for x by dividing both sides by 14:

x = -14/14 = -1

Use the x = -1 answer in the equation 3 x + 3 y = 6 and solve for y:

-3 + 3 y = 6

add 3 on both sides:

3 y = 9

divide both sides by 3 to isolate y:

y = 3

Then the answer to the system is the point on the plane (-1, 3)

which corresponds to x = -1 and y = 3

A scale of 1:20 is used to make the drawing of a car if the length of the drawing is 10 what is the real length of the car?

Answers

Answer: 200

Step-by-step explanation:

since 10 is one part

10 x 20 = 200

The real length of the car will be 200 units.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A scale of 1:20 is used to make the drawing of a car.

And, The length of the drawing is 10.

Now,

Since, The length of the drawing is 10.

And, The used scale = 1 : 20

Hence, The real length of the car = 20 × 10

                                                    = 200 units

Learn more about the multiplication visit:

https://brainly.com/question/28768606

#SPJ2

I need helps
can you simply this please :)

Answers

Answer:

64-18+2

Hope this helps...

9 - 12x + 6y[tex]9 - 12x + 6y[/tex]

Answers

Answer:

6[tex]y^{9}[/tex] - 24[tex]x[/tex] + 6[tex]y[/tex] + 9

Step-by-step explanation:

Combine Like Terms:

= 9 + −12x + 6[tex]y^{9}[/tex]+ −12x+6y

= (6[tex]y^{9}[/tex]) + (−12x+−12x) + (6y) + (9)

= 6[tex]y^{9}[/tex] + −24x + 6y + 9

In a certain year the population of a country reached 321 million. The overall birth rate was births per​ 1000, and the overall death rate was deaths per 1000.

Answers

Answer:

Then it would stay at 321 million

Step-by-step explanation:

if the birth and death rate is both 1000 then nothing will change. Population wise.

Use the Distributive Property. (2x - 5)5

Answers

Answer:

the answer is -50

hope this helps <3

The diameter of circular CD is 120 millimeters. Which of the following is closest to the circumference of the CD in millimeters?

Answers

Answer:

Circumference=C=377 mm

Step-by-step explanation:

[tex]C=\pi d[/tex]

d=120 mm

C=3.14*120=377 mm

Students and faculty raise $6042 for band uniforms. The faculty raised $1780. Write an equation you use to find the amount a (in dollars) the students raised?

Answers

Answer: 1780+x=6042

Step-by-step explanation:

I hope this helps.

PLZ HELP DUE IN 2 MINS

Answers

Sanakwekeiiehrdnmdmdldodd

4. Which of the following is NOT an example of annuities?
a. pension
b. educational plan
d. deposit
c. car loan​

Answers

D. deposit

kaakakashshhhshssbs

Change the subtraction problem to addition
1- (-3)

Answers

Answer:

1+3

Step-by-step explanation:

Since there is two minus signs, you can turn the minus sign to addition and turn the negative sign positive. Subtracting a negative is the same as adding a positive.

Answer:

1 + 3

Step-by-step explanation:

Any number subtracting a negative is the same as addition.

Given m
0
n, find the value of x.
m
168
(6x+8)

Answers

Answer:

x = 10

Step-by-step explanation:

This is a parallel line cut by a transversal.

The two angles are corresponding angles. Therefore, they are equal to each other.

6x+8 = 68      >> subtract 8 from both sides

6x = 60           >> divide both sides by 6 to get x alone

x = 10

you can check by substituting 10 as x and see if 6x+8 is equal to 68 which it is

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