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Ilia_Sergeevich [38]
3 years ago
14

Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. Ariel states that it should be y2 – 4x2y +

3x3 +2. Which student is correct and why?
Mathematics
2 answers:
lubasha [3.4K]3 years ago
4 0
The degree of a polynomial is the highest power of its terms.
The power of a term is the sum of the powers of all the variables in a term.
A polynomial is written starting with the greatest power in standard form.
In the first case, the power of the first term is 3, the power of the second is 3 (2 from x + 1 from y) but the power of x has decreased so it is the second term, and then so on. 
In the second case, the power is starting form 2 and then increasing to 3. This is incorrect.
Therefore, Marcus' suggestion is correct.
Irina-Kira [14]3 years ago
4 0

Here is the sample response:

They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

You can paraphrase your answer and you should be fine.

Good luck!

-RxL

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The enrollment at Temple Junior High School has a change of ─ 60 over a 3 year period. What is the average change per year?
GaryK [48]

Answer:

- 20

Step-by-step explanation:

Total Change in enrollment = - 60

Period of time at which change occurred = 3 years

Average change per year :

Total change in enrollment / period at which change occurred

= - 60 / 3

= - 20

Average change of - 20 enrollments per year

4 0
3 years ago
You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2

Total distance, 2 miles

5 0
3 years ago
Will mark brainliest !!
ikadub [295]

Given Fig.is a triangle

Perimeter is simply sum of the all sides of a triangle

1/3x + 7/x^2 + (x+2)/x

=[ x+ 21 + 3x(x+2)]/3x^2

= (x+ 21 + 3x^2 + 6x)/3x^2

= (3x^2 + 7x +21)/3x^2

7 0
3 years ago
Read 2 more answers
Can someone help me please
Lady bird [3.3K]
Answer: 12.50$


Explanation: 5.25$ (per pound) and he wants 3 pounds so we multiply 5.25x3 which equals 15.75 and then we subtract 3.25 (because of the coupon) which makes your final answer 12.50$
8 0
3 years ago
I need to know ASAP
Ostrovityanka [42]
ASAP means as soon as possible. Just kidding. Okay the answer is A. 180-29-29=122.
3 0
3 years ago
Read 2 more answers
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