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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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At a particular fast food restaurant, tacos cost $1.29 and
Arlecino [84]

Answer:

Michael bought 18 tacos and 9 burritos.

Step-by-step explanation:

Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:

1.29 x 20 + 2.19 x 10 = 47.7

1.29 x 16 + 2.19 x 8 = 38.16

1.29 x 18 + 2.19 x 9 = 42.93

So Michael bought 18 tacos and 9 burritos.

4 0
3 years ago
If f(x)=4x^2+1 and g(x) =x^2-5 find (f-g)(x)
docker41 [41]

Answer:

\huge\boxed{(f-g)(x)=3x^2+6}

Step-by-step explanation:

(f-g)(x)=f(x)(x)\\\\\text{substitute}\ f(x)=4x^2+1\ \text{and}\ g(x)=x^2-5\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)=4x^2+1-x^2+5\\\\\text{combine like terms}\\\\(f-g)(x)=(4x^2-x^2)+(1+5)=3x^2+6

6 0
3 years ago
If branndon finishes his work at 5:00 he us at the rosewood cafe​
son4ous [18]

Answer:

the question is not complete

4 0
3 years ago
What is smaller...<br> 3/10<br> 0.4<br> 35%
VMariaS [17]
Convert all of them in decimals

3 ÷ 10 = 0.3

0.4

35% ÷ 100 = 0.35

Order from least to greatest--

3/10, 35%, 0.4

3/10 is the smallest 
7 0
3 years ago
Read 2 more answers
Please help me solve this!!
Mice21 [21]

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

Distance =4\ miles

Time = 30\ minutes

Abelito

Distance = 10\ miles

Time = 48\ minutes

Required:

Who had a greater average speed

Average speed (S) is calculated as:

S = \frac{Distance}{Time}

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

S_B = \frac{4\ miles}{30\ minutes}

Convert minute to hour

S_B = \frac{4\ miles}{0.5\ hr}

S_B = 8mph

For Abelito

S_A = \frac{10\ miles}{48\ minutes}

Convert minute to hour

S_A = \frac{10\ miles}{0.8\ hr}

S_A = 12.5mph

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

5 0
3 years ago
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